Maths-
General
Easy
Question
Express
as a power with base 3.
Hint:
In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times.
The correct answer is: 3 to the power of negative 5 end exponent
Step-by-step solution:-
3-2 × 27 × 9-3
= 3-2 × 33 × (32)-3
= 3-2 × 33 × 3-6 …................................................................. [(bn)m = bn⋅m]
= 3(-2)+3+(-6) …....................................................................... (an × am = an+m)
= 3-5
Final Answer:-
∴ The given expression as a power with base 3 can be written as 3-5.
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)
- If AB || CD, prove that the triangles ADB and CBD are congruent by ASA postulate.
![](data:image/png;base64,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)
Maths-General
Maths-
Classify the equation 170x- 1000= 30 ( 5x - 30 ) as having one solution , no solution or infinitely many solutions ?
Classify the equation 170x- 1000= 30 ( 5x - 30 ) as having one solution , no solution or infinitely many solutions ?
Maths-General
Maths-
Make and test a conjecture about the sign of the product of any two negative integers.
Make and test a conjecture about the sign of the product of any two negative integers.
Maths-General
Maths-
Classify the equation 6(x + 2)= 5(x + 7) as having one solution , no solution or infinitely many solutions ?
Classify the equation 6(x + 2)= 5(x + 7) as having one solution , no solution or infinitely many solutions ?
Maths-General
Maths-
Does the diagram provide necessary information to prove that the triangles ABC and ACD are congruent by AAS-congruence postulate? If not, mention the required condition.
![](data:image/png;base64,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)
Does the diagram provide necessary information to prove that the triangles ABC and ACD are congruent by AAS-congruence postulate? If not, mention the required condition.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMwAAAFDCAYAAAB2s+FLAAAgAElEQVR4nOy9d5wcxbW3/5yq7plZrbLIUUgEEY3JQYgkkEgiCwlEzmCDL/b1ta/v/b2/970O9zpiC2WEyFEmGIPIGBAgQIDJUQSTEcra3ZnprjrvH9WzWskYs7xarXbUD59BSMyOerr721V16pzvEVVVcnJyvhamsw8gJ6crkQsmJ6cd5ILJyWkHuWByctpBLpicnHaQCyYnpx3kgsnJaQe5YHJy2kEumJycdpALJienHeSCyclpB7lgcnLaQS6YnJx2kAsmJ6cd5ILJyWkHuWByctpBLpicnHaQCyYnpx3kgsnJaQe5YHJy2kEumJycdpALJienHeSCyclpB7lgcnLaQS6YnJx2kAsmJ6cd5ILJyWkHuWByctpBLpicnHaQCyYnpx3kgsnJaQe5YHJy2kEumJycdpALJienHeSCyclpB7lgcnLaQS6YnJx2kAsmJ6cd5ILJyWkHuWByctpBLpicnHaQCyYnpx3kgsnJaQe5YHJy2kEumJycdpALJienHeSCyclpB7lgcnLaQS6YnJx2kAsmJ6cd5ILJyWkHuWByctpBLpicnHaQCyYnpx3kgsnJaQe5YHJy2kEumJycdpALJienHeSCyclpB7lgViN23XVX5s2b19mHkfMV5IJZTZg5cyazZ89m+vTpnX0oOV+BqKp29kHkwPDhw7n33nsZOHAgb7/9dmcfTs4/IB9hVgNeeOEFnn76aQDmzJnDjTfe2MlHlPOPyEeY1YALLriAPn36sGDBAiZMmMCwYcO45557Ovuwcr6EXDCdzDvvvMPAgQOZM2cOH3/8Mfvssw8Ajz32GIMHD+7ko8tZkXxK1slMnz6dE044gQEDBjB48GB22WUXAK6//vpOPrKcLyMfYTqRefPmscUWW/CnP/2pdTS58cYbGT16NBDWMwMGDOjMQ8xZgXyE6USmT59O3759l5t6HXTQQfTp0weAqVOndtah5fwDcsF0Ir/61a/46U9/utyf9evXj/PPPx+ACRMm5BuZqxn5lKyTaDv1+iomTpzIueeeuwqOKOfrkI8wncRvfvMb/v3f/x1V/dLXsGHDgDAK5aw+5ILpBGbOnMmcOXO45JJL/uF7/uM//gMIC/+77757VR1azj8hn5J1AsOHD2fnnXfmZz/72Ve+b9ddd2X27NnssssuPPPMM6vo6HK+inyEWYXMmzePX/7yl9x7772tv/+q9w4cOBCA2bNnc8EFF+QBgNWAfIRZhdQSLNvyZTv6M2fObN3xX5H8cnUuuWByctpBPiXLyWkHuWByctpBLpicnHaQCyYnpx3kgulAFPDZr9RCK+pAl4IuRv0SfLUZgM8/n8tNN00nqaY454EE1aXAImApUA0f5tp8Vs4qJxdMh7Pi3S0oFpcqqgZTKAFw910z+Ld/+1dmzXoKaw3OCRBnLwNI+CX7z5zOIRdMBxLu6xUEIwY0xthuiCkChk8+/owrr5zG+++/x+//cClNTc0YE+GcBYrZy+YDy2pALpgOpiYalSCdME2zpN4iEgHwx1tv5qlZj1OIDHfecRtPPPYIIoAaUIti8Rg8iheH5tLpNHLBdDACCB7BAdmaRoTaqZ/z9utcMXUie+y+HRuutxaROMZf9js+/+RTrDGtKgu/ODwJZJ+Vs+rJBdPRqACKx+NwqIIoxBbUe669ahJNiz/itJNG0LOhwLFHHciLzz3LXXfegtjwEUkCXkNajPfVTv06azq5YDqcMJqEEcKjCi5VEHj1pdlcPnEqJ48+kK0G9iXyZfbdczv22GMLpk2ZxBcfv4N3EBlwSYp6jzGGPEzWeeSCWQWE2zvEhEV8EEBzhcsv+wPr9PYce9j2dLNNaLVKt2KVM08dztxP3+TaqydiYoc6R2wMguRa6WRywawSwrQMPKIOEwmznvwLd99xO+ectg8brwsFFmHUQzKf3XcZyOGH78LUy6fw3tsvYCOLqGQLIItqHlfuLHLBdCTaZr8ym5RZA5Uli5k0diybbNCNw4fvTrduVarNcymIEpkqhiaOOXo3SnET0yZcinMVDIKRCBGDkfyydRb5mV8FePUoHqNhM/L+e+7mLw/dzXnnHESfngnaspSi7YFPFVdZSqzz2GZgb449ai+uue52Xn/lKYgVxVMtK/ll6zzyM9/RaNjbN2oRYpbMX8iEcX9g113XZd/9N8JGC8EJzvXEYTHGEZnFxLqIYw7bnXX6FBg/YSxVtxAVQWwxX8Z0IrlgOhIBNQpECCVII2774w289eaLnHXmofRoLFBtLmMKRbwHLwYVBRwl6+i/QR/OOHU/7rjtLmY+8iCxtWAE7zv7i6255ILpQJQUTwXnFCPw2cefMHHcOPYbsgk777QpPi3TrdgNSRK8AWcFLwJpiklbsOlSjhi6J5tv0sDlkyewqGk+KmDyq9Zp5Ke+AwmCacJGilbhlutu4fOPX+HEEwbTvaGM9VVIFFJPVIxxRsFKyGhOyphkCev3MZxz2nBm/uUh/nT7zZQs+QjTieSC6UAERaliEOa8+RHTpkzg6BE78+1vrYO4BYivhr0VUVoqLSQAJky7EIdIBa3O5+D9tmeXHbdg8vjxzP1iLtYAaG6I0QnkglnJ1JwrvQ+ZX4KSJglTJ/4BwzzGnDCUhqiZiBYiHEYURBArqCje+7DfgoJWUL+Y3j0cp43Zk4//9ha333wVoDjn8d5nf1c+5KwqcsF0GCEyFtON52Y/wvRbpjDq2D3Zeot+aKUJ6zUkZIoDARHFqIYNSrVABAZUyni/gL1234Jh+w7k6slT+PiDd7DWYozBOZeLZhWSC6Yj8RGkMVMnjWO9dRxHH7UtmsynIBHiLSHmnGY1AB6LZuUAWeGYF0ykpH4J3eImTh65Hws/fotrr5oGQLVaxRiDiOSCWUXkgulAjI14/OFneOi+Bxh5wo5svElEbMtBI74ACN54vITRJvKKUQALEkFcINEUoYy1zWy3ZR9OOHo3pk29gldefY1isYgxBlXFWtvJ33bNIBfMN0ZXeC2PMYamJc387pdjGTSwB8cdswdp8jm4CupMNu3KMphNGFksIfUfNSgWVTCFGC8puCYa4ionHX8gJVNm4vjLqFQqYR2z3BHkgYCOJBfMN0EB9UAKJCge57OaFQTnw1seuG86Lzx3K6eO3pe1GntR1EY0BYlSkAQAUYv4ICCvJkzKJCRpihOsiyj4ApIkGF3KgE0bOPmYPblr+nW89PKTeGMoG0tSOybvwHlw2SHmrFRywXxTBNqOMGLAOQ0FYghz537Cr3/5K/beY2MO2GcrfKUKzmJQ1FfD2gVDGFdAxeKE1p1+atGzBGKNiERAK8ASRh61B/3XK/HbX/2Csq+gEqRLa0ZzZ5yQNYNcMN8EBXzNwiW8RMP2iQGMOP548/V88Ld3OPWUAygUDdZ6oIqKp22ysagg+hWXYbkSGAHnWH+9Xpxw/F7Memwmjz5wN0aVWCQbnSyIBA+BvApgpZML5htTW3VE1E6jIPjU8fkn73DFpEkcMnQQO++0OepbEKmAJqHE2Pz9ECBfc1RQPD6Zx4jhu7Dt5j2Y+Pvf4ZoWUmgVh7QKxuf1ZiudXDD/L2iwuIDwS1qpYgvK9VdezhefvMsZJx9GJM00dFPSdCliHcZCNm/Lbubanf71hgTB49xC1l8v5owxQ3nuiceYcdstrR/hBFIDTjyKyy3MVjK5YL4p2YJalVZji0JDzNsvP8OVUyYwZuReDNq8D5GUSVsWAwkiHmOljRGfZP/+urd1qNyM4iqVpR9ywN5bc+AeA7hi3DgWzf2cNPGtdk5el/PdzFlJ5IL5hnhV0lTxy0oqwVeYOmECsTjGjNqbSBdhfIXIeGJRUI9q25u4Nswool8env57FGMd4pfQq1jl7FOG8tG7b3Dj1VOIY4NXSH2WZ6a5g9nKJhfMN0DVYyIJeZImjDAYeHrmw/z59ts44+S9GLBJN4ybj1Uf3F21No4YNHsBYWhqZxKlupS4IKhbxM47bMgRwwcxccIE3n7rZawBY4TYWEw7xq6cr0cumG+COpxLMEZInA+JlkmZSROmsM46JQ4eugPez6cYlzHqMT5b62ROlmHTsnYr/+PNz3+ES1NUFHXNlAoVjj9qMC3NH3HV1VMRwCUevGAlbvP35KwMcsG0G83Omsd5j3oljoQH7ruPex96kNNOPZQBAzYkliZ8ZXEmEpMlVdacxNsEC2qf2Q7B2LgI3mGMw6dL2f5b/Tn2qH244YZreer5Z2iIDdaAppovYVYyuWC+Ad6lIbyrYZG9cMEiJo4dy27brc3BB25HufkjkjQBW2RZ04tlS3wVyexiM0RBfPYGS0hThmAJm9nCqm110RSJ8KmCUWxUJS3P45TRB9GrVOXaqRMol8thl99kn43/klfONyEXzDfAGAsC3iilyHL/XTN49tEHOO+kPVi310cUorlgu1H2fVDjQRwqPtvFz/ShK44yKaEGxoIWw5tMC5gKQUAhWROphCxm00C48Zsp2sVsuX6BM48ewv033czzTz6MGEJBWqtAauJr+/tcOO0lF0y7EcRYnBqEiI8/+YzfX/orhh6wLXvssjkkLVldSzbREs2E8k+mXaKZftoKqe3PSOv7JLvRNXuviAOWcORhu7HJRj0Yf9lYqtUy1gQb9GD817a5TH7Zvyn5mfsGKIY4KlIQ4ZqrpvLxh29wyqkH0rN3jE88pBE4R2wTBGXlLrwVSMIUTuMw8qjBuaX0WxdOP2MwM2c+yH0z7gxZaj7zdtaaYLIpX6t42h90WJPJBfMNcFmo+N13/8aN11zL0AP6s8vO6+GSeZioiFDCekdEhZV/Iypqsr59GoEvgChelmIblrL77hux67f7MOkPl7Lg8/mYzJZJNRtpWg+nNpLlYmkPuWC+ASbrQ3H5+EmUl77HWacdQKm4AOcXhTWIi7CRwdTWJSsbqa0/bBANYOOEassHbLih4fRTDuG5J5/gnjtuD+9v282JFQ9JyDMCvj65YP4JaZqiqjjnWk0njMCrL73MzdddznGH78G3t1mPtDIXYxzqCNWSzpEl3XcIQQOCSmh/ISSINiN+MbvvshmHHLQ106ZcyocfvI+xUE1CCEC/VDRf+gc5X0IumH9CrfRXVZEsL7/cspRxv/8l6/ZOOPWEwfiWzyjgAINvnel04B5I63pkWchaU6VgYny1QkNU4fyzDuGDD97l+usuR8RTKAQPgTRdsXtZLpT2kAvmK2jr+2WtRdUjIrzwwlNMv/lGTj5xbwZsJMRShSSEfr0IzvjsyR91wFHVolySOc5UAIeJSqSJJTYFxDWz3aA+HHnIFkyddjVvznkBY9LQA825ZR+T025ywXwFIoKIkKZhaqWqJNUWxl46lq0GNnLU4dsg7lN8pQkT9QBfwhvwxoWQr0Z0yJ3pC2GtJCmYEDETH0PSiEkbiEWxZj4nnrQ71ernTJo0EXB4XyWK7QoOM7ly2kMumH9CzZiv5sxy62238ehfHuG8sw+ld88Usc1okkBaBA3O+l7SbI3REYJpM8KwbJ3kU0sx6ommNoSyoxYGbNaLUaMP5vobbuHl12ajGhrKGmvymdg3JBdMjVo6fM25UpVUldR7jLUYMSyc/wVXjJ/IroMKHLLfQKg2o76ALTSiaRUhJfJKVDPjy/LIvjp/7JuEdbNygFp+mgrGCBiPEQdpBVOu0CAVTj1sezbpnfLb//k9Xg1ppCRaRQlGGWgwtHW+4wIU9UQumFayPC08KilO0uAXZi0uDWklt950A+++/jTnjdmJPt2bEKfgu+GIkZLBSAWrDusMprVOX/hywXxTNGtjrgiWYPpnUXWgZcRUMUYRiTHVFrZaq8pFpwzl7tvv4tFZjwOWtFaJmWXIaFbWnPPPyQVTI/MDW5asqKGaxIGVmHmffszkCWPZc6+tGTJkV6iWiSOD+jSIzKcsy9PKPuPrFup3EGIEb1KG7r8dg7bqxcRxY2luWUIkJZyXsI0j4NUg0hEBivojF8wKaJZ6IjhQwachmeSKyROZ98UHnH76YCKb4qppq7GriSLSavVLP60z0TQFrdCjl+O80/dj9sxHuO/Ou4gRhGB+jvV4BP9VzjU5reRn6UvJRhivFArw1muvctW0aznh+O3ZcYe+pG4xtmDxLkFFESNZrb4u/+pkJDKgFQosYNjQQWy/RS8uHzeVeXMXYSw4rVBxLUg+I/va5IL5O6S1Ht4agSrcdM11SPohxx+9B4VoAdameOewscUWYnxaxaxg7NfZowsA6hFfQcxSukWLuOSCw/ngzWe49cZbwjPBeKQm7NXgcLsCuWAyfLYx75wHjfCpRwSeeeZxpt90BWNO2J+B/Xth/BLEJ4hIiKolCcaY1fIRrSgmFgxVrFvKrttvwtAh2zNl4i/57LMPQNPQwlw1vxG+Jvl5ylCCp5cXi1JEvaFaWczUyb+jVKxw4gn7UpIK1rkQwv270eQfvTqTzA1TIRJPz26OE4/bk+bFnzFt2h8wAt55rM+3L78uuWAyxHoURcTiUkOx2MijD93PjBl3cM45Q1hv3Zi03ETkYnBd47QpilNwaQyJoNUF7LrTuhx91HZcMfUqXnv1VYpRI7RG+HL+GV3jyq8S0pBqolCIDS1NLVw29jIGDerLwcO3IU2/CNElV/pqL+TVCBVBCiXEdAON8ZWlFKIFjBy5J97P5aorr8clDhFF05bOPtwuQde48h2OhsmL+tCOQuG+u+9l9jOzOGXMYPr0KeBdM9YY1NUmL19mLLF6mU2oCkqE9xGqEdaCTxcwYEBPThq1H7fceANPz3oGiQqIsStMIleXaeXqRV0LplbH4pwjSRIeeOABrrzySlpawtM0SZLsPR7RCOsKFFJY+OkCxv/2t+y/91ocOGQrJGmhIAW8T5BoaVbAZb7mq/MwGKhagqWfC4EJ5ykmSzj5qD3YsG/C+Mt+TbWlgrclEk3xpCgO56t4TVh+MzanrgUDy1L0rbU899xzXHLJJVx00UW89NJLxHEcMpKN4LzDOwcF+PMfb+WVFx/jzFMOpHupBeurWDWZR4XSVQxYBTA+eG1iwk1vANe8mP7rd+O0k4bw5GN38/BDD2byNggmy87+f/NOq1fqWjCh6Cs0TPXec+GFFzJlyhRmzZrFCSecwE033URzczPqNTxZ44RPP/mQseN/ynHHbcP226xNwZSJpEzICo5BGqg1QeoSiEfFt/43pMQFqJYXc+ShQxiw8dpM+sNvKDctRlNHmjgiWwh5arriKJkLpq4FU+swDGGEKRaLHHvssdx1110MHjyYc889l/POO4/33nuP2BZBPOMm/ooFiz5h9PFD6NGQEmkTlhYMCSIG54utKTGrO8HiyS+XH4d6DCmxTWiMK1x41iE89/RMZtx+Yxhxs5YbzoWIYTDPMNlLQpLnGiycuhaM955qtYq1Fudca8fhTTbZhPHjx3P11Vfz4osvcuihh3LNDTcx+7kXueGGWxh53N5su9XGWFfGuATSSuhJadu49XcZ/LIpZOawqZqAtmBZwj57bMawIRsy/nfj+OzDD4gLEepAMMFtps0nhYK6ur5l/il1/e2NMZRKpdbKydpok2S78yNGjODWW29l6IFD+eH3f8LJo0+je8lz9IiDaCh1Iy0b0rIJphbGk6bN2RO7a4wwgZpYoNYASq3gKkuJTAu9uqecPOoAPnz/RW6bfkuWaO2JItO6/hOBJYsXc9899/LenDm0pg+tgdS1YGqICNbaVtEYY/DekyQJm2yyCb+79FIu+c5FfDBnDs0LF/PKC6+wZFETke2LidfFUaLS0kJUjPC+skKJ7+pLzUwz5CVkJn5qkCSh1BAjpkpamc/OO23MsKE7MG3KZD6c8zomFpxzRJHQXKky494HOP74UZx51tm89NLLnfytOpc1QjArEgwtQkDARhGo563XXmDHgWtz4N7b8Itf3MAPfjCev33QjCluhE+7ExUaScstFGMbkjK7Eq2dA6LsZfGqqE9QyhRLjjFjjqB5yVymThkXantEeeTRxxk16iROOvFkrI0YP248+x9w4Jq8hOkQW5PVHlUliiKSJCEC7rlnBg/cfQs//fGxHHnsztx339pMHP8gY86YwLlnDmHEkd+mV0nQZCmapNBmere6E0aZmmAIkTJTIHEJiMMULdWkma23HsTxxw7jtttuY6P+G/OXJ57lvvsfYdtv7cy4CeM5asRhNJQKaOKp9ehcE1kjBQPgnSOOYxYtWszESVPZZqu+DD9wI9LKWxwxYic232ogV05+lgmX38sGG/dg/yEDEVMGDe3FQ+u91Z/gg17r+AygpC4lKhUzc8IEG8ckSQubb7EhH3/4ET/84X+wwy4788tf/5LDDj+afr174BLwDoxkLpq5YOoYbf0XKkKKoMagpPz5zht44ZmHmfTzY+i7tlIpN1NpTtiq/wb85MdH8+rh27DNVuuQpi1ExRiaWtDYdK0bJuuorBg8EWobSVKL2BLOF3jxhXe58eZ7ePzJOWy4Xg++WOL5wb9czGEjRuGBSpJSiAzGZZ2eDayp87L6F0xrSlR4LKqFskJkDJ/NfYeJ437PsL03Ysiem0B5HrFGxB5wn9KnFDF4jx5ouhjUQaJIwXSpW6XWl0ZRnFg8BUzcC+9KvPXWF1x73QPcf9/z9OnZyGmjhrDr3rvww/81hRuvuYn99xtBtx7dMFTwPsH5IrE0gAa/gDWR+hcMZGGiZaNCrQXFzTfcwDtvvMZvfnIJjSVQ79u0UfWgFTTNPiD7464kFqjt8ktrLxljIt59+31uumUWDzwwhyiynH3GMIYN3Z3+m/XDRY7TTtmPH/9/t/KXB+9n+JFHYrB4X8YYv8a3l6lrwdSm7waW61FUNML7773BtVOncMwRO7LVwH7Awi/5hDp4iopDs/WLqBCJ5a+zX+Lh+17nqCO256hjhrL2OhvQrVtEpelvuELKoYdswy23PcplY/+HIQccQGPPHogqxgipT7BikTVUNXX+rRWPx7NsQ8IQnLyunjyR6qJ5nHHS/vToluLTpk4+1o5Cg2kfQTAu8QwfuidXTD6Zi787ggH9e2L1E3zL3yjGSylGi+nebTFnnLYnb73+PH+88drgsZnGeARMFe3ArgSrO3UtGCUsdj0ayo8BBF55fhY3Xn0tJx67E1tvvhYumY/wZTZJXR9d1ukvtBL0Kd27l9hswIaIW0y1+RNiswhkEWgTos24yjwO2Gcbhuy1AVdMnMRH735CoRDhNSLxSZtp65pHXQsmoKQKiQPnFU0TJo/7A2t1a+HEI/fBukVosghru9bq5OsiWnNiDnlkBofRFCpLMVSIbYXItBDbFCuCSZUCQsFUOOPkQ/jw/Ve484+3BYdMbzCm0GWSTzuCuhaMZNExkZC5a6zw9FMPMeNPt3Pq6H3YbKPu+OoiomKE+hX7ptQJNY9nCM1kJUWkkrn+p4iE84P6MBylMSaJKKiy/TbrctxRuzBx/K95/+1PsFlHgjU0jQyod8GIYDCo88RGWLp0Hpde+j9suXk3jjp8VzRZ1DoVq8+boJYOY2ltzSdJ9godBlALFIAYTIwxPcGV8NUy3eIlnDR6d2LzBVMm/Q4rwTZXpAvVA61k6lowqMESIRpiOg8/ei8PP/QIo0fuz1q9LNgqhdjgygli484+2g5AEB8h3obRVhxIgkqKNz7YmkuM1244b3FpikgBIw3gEnz6GVsPauDQQwfxx+nX89fnZhMhrTUzayJ1LhjFJ55iZPls/qeM/cNlfGuHjTlk2G5Y04KkTXivmLhIvZ4K0RACDgaXDpXwCiERgyPGawG1EQ6PSxSRCGsUY5vAzmXMKUPo07uFy/5wKWmy5kbIoCveJW2KB5elvIS+Ddrm5XF4s8xC7L5bp/Pus89z8SkH06dYxScLUalgIotRi7p6nJMpKmm22w+oRTTOXhGCYNQhUg3J/7aAGA+ahJwxb0iqTWywQcyJJ+7JvXffzsy/PBLWPL5mdl4FamYZbS5JnVoAdD3BLMeKLpPB4cRnAWUPiLV88sF7TPj9ZRyyz+bst+uWaGU+xiTBV9i7YJVquvip+EdIW7unrE25RqAGo2AIJcvifRiNjBL8CyIsDYgT1C3lsOE7s+1WfZkydhxL5i5ZVvGsHq8pXn1dC6VG17tLvrQvUcjGDQ2GLGCQzFwoErjmystZPH8Oo048kGJDFTFpeJ/GgFnhplpT0cw+ygFhdMEZrBoin7JW7yKnnXQwjzx0O488fG84fRjExIjErVkVy12fOlzqdD3BACHa45fliLX2fKyZBZkw3QDee/sdpk6ewqGH7sRue25EufwRkGTh1kL4GUkJN8qajA87+FKb7xrwYbpqvYfKAg7ebyv22as/48b9jnlfzMNEBueFNDXBMJBlm8OI1mXosWsKprW1BLX620Cb1iwG8Kky9bJxNBaaGH3C7lTK79HQIwFTBUwYYdQALvPtWnNRUTDLAgIgiMSIt1jv6F50dC8u5uxTduedt57nj9NvyK6DyUzc214Gx+rQga0j6IKCqa1V/v6PVRXvlxntvfjcM9xw1RWMGTmErTbvS2yXkKTz2zhX2mW71nX4NPxmtHW6FKxEGA9pZQnWzWefPTZj3336M3nyRD758C2MgBWDc5r9lFv2GXW4numCgvnya+AceA/Oe7x3pGmFyRPG0reX55gRe2L8YiKpYiV4KLcdodbgbYVWwqAdToSabHRQsqFDicVjKRPbJk458QAWffE2V10xGREwtTLo8NNtPrH+TmyXFcxykWXAWnBpShwL1goPPnA3f7r9Zr5zzv5ssn4R6yrgDZZCdmO4bO1Sq7ftkqdi5aEW0doOvkMlW8+IELIFDBBc/nfcbl1GH7MXU8eP5703XgKF2K4gD7V1+STqcndJm+XKciNN6hxxMcK5Kk1L5zJu3Hi23ro3Iw7fjkrLp8Q2QipFcN1ALJg0pIjgs7XMmpvuEZCwN6PSurnpTdi/USJUY+6BMikAACAASURBVJQYVUNjXOXoQ7Zmnd4pUy77LZpW8almhXlZwKAORxfogoKBL5+SRZHFpRWs9Tz44D08OvMRzjrrSHp2b6FU8vgEjG+EtBRCpjiQavg0DaHoNRuz7KEhmhWeeTwGjwVi0CKiEdXmuWw3aB3GjDyQ66++mdlPzSKOJBMMkHU9q7f1C3TZu0SzxtlZIEYgSauIFRYtWsAvfvbfHLjPDgzZc0uUpaSVJYDiJQZbysqVtU0ItT7n2+1Cazliy9YiwZs5Mw/JypwVwZgUq00cOnx3Nt6gxMSxv0N9mp3F7H1Cl+ly0B66oGCCN7BRhYpkdRopThxOhGuvvZHP33uHC0dux3rFLxAHVixWEowpgzajBlTDNCNscuYbl4hDTcgTE28RH4c9GPUYqSJUEKqIVLFGcW4Ja6/lOfOM/Xhy5p+5f8YfCf0BLd5B6lJcrTtVHdEFBSOIRLg23liSzZn/9v57TJowkeEHbsOeOw9AfHMYSLLkJ5FayBOWb3hUXxf1m1M7D+HcLMtKzkbjbEQWY3FJhUJU4eCDv8VWW/Zh3KVjaWlagquCMYIYxdbhsrDLCUYwpD6MCRIHh37UULIlrrliKvM+m8MZpw7DSDPeJ519uHWIoBVHwUYozfTppYw5aX9effkJbr95OoUGyZx2DK4OH0RdTjAAIjEYg/NVnE/BwmvPv8L066Zx+ol7s82WPbAsRtSt6SuTDsGYOFRouiUYmc+B+2/Lt3fcgqmTp4bETAARlLTu1jFdUjCqYZNSrCcuQdqUcvn4cXSThNNG74OmnxLFCYKruwu2emARG2GlQlr9hF49K5x3+sF88M6LXDX1KqwBROtyVdjlBKNkuWKieB9ywp59aib33nUbJx23D5uuV8KyGO/LwQQ5Z+WjgqQewVGMHNWln7HLjpsyfOh2XH/NBN6b807IH5dQ/6+qddNPpssJphZKThOPNRGV8jwmX/57NlgvZsSwbxG5xUSkWZ3GGuya3aEEJ1BRi/FCQRIaC0s5+/ThLJz3BtdcOQ5Nq63VmfUiFuiCggGwApERhJgH7p/Bww/eyZiROzNg0wY0WYrRCJUCmHqs0+98vHFZg6YC4otECml5LlsOLHLSqL25+YYrePWFZynF3eouANklBWNQrBoWLljExPGT2enb/Tjo4IHg54ZZmDbgXQGt1yrKTsaLxxlBtQG0AbyhWEwx8jmjRu5CQ8ExbdLluLLD1FlPzK73bVQhrWJi4a4/zWDWrCcZPXp/1l3X4pP5hLSMIl6KOJV6e8CtFoQMAAkbv74B1KLJUoT5bLRxkVEjd+PuO+/m6SeeDlM3ocs0oPpndKhglqtc8Q40BfWoV1xmOpGmKaptjCvQsFDMsla8CwYXaAKaoJpCschnH3/CHy79b4YN3YrBew7AV5eEn3GAeiLrEJJ8BdMBBOumrEW5elAHxuGoYHwzxx89hPXXFcZd9gsqSRNOHVXn2rgukDkuZMVqCuo86jzee5xvG2HT0PUZjyfYbbRp97PKWSWCUfXgEqhWw6axhBR8BaIouJc0lxdT9dXlBBPaXyvqU9SVITPB9h5uvvV65s5/mzGjv0X3uAnjwdruIDFiPUabsVqh7ibRnY5gvcV6mzlpVkOZhHMUJSatVFi7b8zpJ+3NM0/ezf3334bTBBEh8TXB1EzifQgItKmKNsag2WgU8jc9gpKmVarq2/jTtL6Bf/DbDqHD2114zZrFmZAnMf/zz/n407l4Y/ACVpQe3SLW2WB9YimQZj1aQsOeEOXyqogpIBIhYnnnrbeZPG4Cw/YfyD677YApf5hZvdYW+eHndI22ze4oFC8hpBzSxDIDEtuAcxBZS5o2ceghu3HHPbMY+/tx7LnnAfTrswGJy+rSlpueaWv7nTlvvk7FeapecAgWpV+vRtZfb12iuIHUO1JVCv9gercqrnWHCyakcdXmWHDjtdfxy0svwxYbcOrBV2gsWrbeYVsu+v4P2HO3PalUK5RKRRIXDLJVLMbEpIkniuHqqRPRlo85eeR5RL5CZATSBKTVdjvMsbvgEq0roDYNEyQvmJrVrE8xNuSQpUkLPRqKnHv6IZx68RXcdcftnHLaBYhXvAomglYzhqw3+uIFC/g///s/eejRJzHFxnAtvaNnY8z2227DscefwP4HD6ehsWfYLuikPbYOFYzq8gVfEhd49dVX+dtH73Px937Itttvi0tamP3UY9x+59289PKbTJk6iSF7DaElbcLaAiqGNA1iM5Hhxef/yvRrpjBm5O7stPXGxO5TquVmSoUIUh+ybkUzseT7MCsfDb7Mmc1sMAQ0obrSOVxSptS9G9WWReyx8wCG7fstJo29lCMPH0HPPhvhfe1TTJuCM0iqLbz22qtEhYgLL/4O3Xv2Yemihbzx0l+Z+eij3HrrnZx65rn86D//FxtvsFbIJWTVX90OFYy0dXRxHqynVCrRvaE7hx9+CAceuC+qnrNOH8PmW4zlR//+Yx588EF232MXjIVEE0TBmjjUvCSOSRPGsXbPlKOHf5vYLyWtLKZQiPFJFWMKrX/hsguSs7JRQuly64NJsyoYK0TGUVkyj0KhG6ZY4bQxB3HuhRO4eupEvvtvP8WnHqMmyzWrFZ15rA3/vVn//pxx5hn0aeyBA4w63nnjNf73//9fXHXF5ayz3nr8+Mc/pFiI8YSeN6Y2Rcsud9vK6JUtqA6fs9RGTrEWxLTmdrW0VICwgLeFBg44cChx3MDHH38MGiJmVgx4wTuIBJ58/GH+fMetnDhyNwZt3hdXXUhcsBjnMufKzCaotQYjH106gr8/qxLWJd4hPqFgFXwZ45ey0/YbMmLYIK6YciXvvvo0ccEsu7Fbf15RTRF1VCtV0jSlSiivUYXNB23HT//r/7DtllswadxlPPP8c6RA4lNcLe1mhWdjRwUAVv0kP/tu3bs3hN9ma5v3332XJKkyYLMBFGwRIxGpFyIbYRQqLUu5fNJv2XgDOGT4ziBLiEyCVquomuCCIW1PU24H05EY/Xsrt9rpNoQnP65Mg13MKScdgCt/xDVXTiP0pGnzM63/rrWtDYYkre4AAmiVTTfvz9FHH87cuZ8y8/FHw2TbWIwxocSjDW39a1a2aDpnVazKZ5/N4/MvFjJ/wQLuv/cufv3r37LvkAMYMWIEKZ7UQWyKaArFAjx835/5ywP3cd7ZB7HRBiVcZSHGesSaMHIl2axWwhBfZ4V+qxVGBaM1b1FtYzGbuZFSc5rxiFnIZv0bOPnEIdx43dW8MHtWm/V6W+UEuais8OdiSMtlEM+uu+1IY0F46ZWXqfn9KOCc+7t8tY66/Ku8i7K1lnK5zI9+9CN69OyBd2XmfvYhn3+xhJ///JdstNFG4UJ4gzEQRzD/k7lc9tuxDN51A/YbshXV6lwi60gqKSYqhOCAtt0WCyc8H186AsH4rKtZaAmAGkfYI/PZjWrAx1gjaLqQohWOPGJv7rznRSZOuIzfjtuJYqnb3xeYqSBeqHVMU8i2FBRI6dezO43dYhYsnEuLr1AyMRaI4rCXtypiPKtcMF49IsKwYcPYctCWNC1ZQCQJj/zlKX72s//iw0/n8LNf/Jw47oZLIY5h9qyneP7ZWfz8Z8exbt9uSNkF5z5jkbhIWikTRRZt9UfWNpLJh5qVjprWm3rZyOIzw4zM400sqEPdUlQLDNhsAPsfsDtTr7+fC7/3Jtttv+MKggll0W37Z4ZOgg4TRYCi3mGtJYoKxMYSYfDeZeYcy++6ddSV79goGWCzYVpNGMJThYaGImNGH8/gfQdn71TOPvtDTj7lFK6aOo3hww7nsEMPodZ2csAWm7JJ/0148aX3OPKwPelpLOodcbEHWlUMEZAiWnM5sagvZbODMrloVjZhvaiStIbxfc2rmmDgJ+JAyiEIYyPmz2/ipRffYbtttmL9DTfIdvAdkrUU9BRJrEGshBwAhYjMpdR5sA18vqDC4ibPputuRHciDJCqtk7NpM3eTEdtKnTwGqatP2XWmFQMBqXS0tL6rtQJa627EcccNZxycwtPz3q69Qt7hc232ZJTzhjDjPte5Zln30dpRIjxlZAoYSIJJ7XW07HVlC8XSkeg2T9BND67MW1mBBhlFlgpSoopNII0MuO+p3jxpQ/43vf/lb5918KRLBf2T1OHSpYxJqGEIyyPNGwXJJ7Zz79KU1nYeottW704bS1MYM3fbcx0xOysUxb9qmAj2/rfaZoQHPSLQWK1b2qCYDAxx44+kV591uKGGx+kXC7hpREii5oqzrWE/BuNwMeAIKaaufTnolnpSM17WUCzREwfbl2jKYYEkQQRS6XayLyFhquvu5+99x3K0IMPwYcCDdre0tYYilEBiyUSk937ikQW4ph33pnDzbfcxKab9WfwkCFAWOyLyCrNhF7lgqlFM2rzTREoFWPmzVvArbfPICoUGDxkH0LcxaHicT5hnfW35Hvf/1ceeuQVZj75LlHjhpSdx0cJxAkuTQndgGv9Kqv5dKyDWGbwV7OXjUP3Mq1NsxyiKUiEFjbkpjue4Z0PUy68+GKiYimbdyzvNipecdUqBWspGQl9nY1BbMwLzz7Dxf/yPV57603OueACtttuW5wL83VjTEjYXEVVnat+0e88LeUWbrvtNl578w1aymUWLFrMfffdzwsv/JUzzzqH3XbbhYQkGJWKoBJOyPAjRnHDNdOZdvWD7LjTVjQ2FlHbgvgUMdlUTAtgHNgqYUqYV12uXJTWLmVZr8wQAMjywkwWqRQB08Cbc1q47pZnGHHcMey462B8lpwcRoXaxBsQj1Hh7dff4N9/8p/ExRItTUt45cXnePutNylXEi6+5F84/YxTsTb0/omiCFVdpSPMqhOMAN6z1aCt2GCDDZgxYwa3/elPePV079mbTfsP5De/G8uoE46me49GElfBGks4oRGViqNX776cf9G/ctEZI7n3wVc56aRvUWlZjFWIIwvVWpoGWUbBsuZAOSsR8ZlIQlgn7H851IBPU0xk8T4iSRu5+banWdTUwHkXfp+4WKKcKLbQZs6drXG7dSux/fbb8d5HD3HH7XeQeCUysMmG63DEEYdz3KhR7LbH3hQbu+O8EtnalL6uBBMWh955DALGMuaUUzj08CPC/xVInKNYKtK33zr07F7CEVIeCrZA7UmmClExwivsf+BB7HPAoVx106PssXd/+m/aD9/8eWsfesFkxUltLmbOykVrxRNZ2oaGfZLg+G7wlJCoB2++vZRbb5/JyBPPY+vtvk3qwuiybDJWm5h7Gnp05+f//d/88CcVEgweaCgV6N2jG3369kPEkKqSaM3PIVBr5ruqRNPBYeXwJYwx4cnjlV59+9CrX5/lHvy12Wdrr1+x2SmrxeWV1CmFyFLoFnHedy5i5HEPcNc9z3PeWUNQbQq5Gr5CbQMNLdJ2EzNn5dF6RlvF4sC6bIPRkmojLeXuXHPDPcSFDTnzrAvD29URGdO6clm2VyaoevqtszZrbdiII6uhAsCDd6hPsbZA6rO/spMqNzq+4lJDJCOKs7WE02Ud3TyZZ1V4c82+N0awhAY/Rg1GBCse5x0e2Gn3PRg5ehQ33DSLt95aRLGwFmmSta8wLSAe8QXwpY78emssNaur8KRzYFJUy6S+heZqgin145m/fsZd97zOd7/7XQYM2BxUcWnWAc6vGCMDsaHS0vsUD7R4SL1HfVCIKKjzRAY609ukQ//qWjKd96GO38RxtgUbiobUe5zT1vaSIsuym9UBWuuGrERWsMZlsX3L6WefS3NLxJ9un0XTUsXaCKQCphxKZ7WQjTL5CNMhaC1vL3tQ2QSNlLh7d+YuKHPltQ+y7vpbMHrUmOzJmVIqWiDFyAqjFBLWIlZIvKfqPGJARRBVfJKiLgSASDXba+gcOniEERCDtbbNLqyGDGUNO7NRZBDR1oauaG3kITuxgvfBdLyWL+ZSx1bb7sApp53HVTc8xjsfLUajIiqhtzyYrOJyTW8l3jEoZlk1a9ZeXIzBOYtKd56Y/RaPPzOHMy/8Hr3W7odLExSPcw6bucgsT23H0WKMDVW2LoxEHjDFAhLFeB9qXzrTgaaDRxjB1JZ4kg3C1oTaGLMslcGIYIxgrLS+1US0nkdjLNbEWAkbW8aFLIHRp51Hw7qDGH/DfSx0DaS+N971RmkA04yT0EgpZ2UiOGKciUBMdvfH4BpR34clSxqYNPVettt1CIcfPxIM2EKM2AI2KiEmbCxT+3etXkpiRGJiE/ZhGqwQWYOxcbghrMFEBmO/THCrjlU7G5Q2v7b7S9d+yICx+EqFjTfbiLPPP4v7HpjDc89/gLG9UVNA0yrqqxjTpltyzkok7MSHYr0UBJyPiYprc+99z/H6G/M55/yz6d2re23GxbLr948u/Df9f6uWLukSIaaImgIOOPGkUWyx+dZMm/YELUkDSZKAKRPFgsm10iEYlcy7IgFTQcXjpZEv5sf8fuwDHDHiaA4efijlFQq76oEuKBjB+ZqtW0q/3htw3rn/wuOPv8vDj7xOqUcf1HhcUsbkFZcdgvEmPIwkQSUhNQYp9Oam6TNZuDjmlNPPo1DoFkagOqMLCga8EdSA04RUE4YNO4699j6U8ZNnMHdxhdRGmKhAPbe/7lRqaeRoiLEUuvHK219w3Y2PcdyoU9l59/2ouBTna+lJ9UOXE4xCFiCoycHQvU8jZ553EW9/1MTt9zyNRj1xWkL9Kk+VWzNQBbF4U6TiClR8d6bf8RRLKg2ced53iAs22yKo9bquH7qcYCDbAgAiMRgMmsJ+Bw9l32HHMvnqJ/ngkxQT98VrLdSWszLRyOC8R6WERGvz8hsLuf6Pj3PyWeewxbabU01CMyUrQr11gOuSgiHU9wERolmuWUk45zvn88m8AjPuf4PFSywmbujk46w/BPCunEXGGkl1PaZe9RB919ma084+K9jBWhA8kdp8hOl8PIZqtptvQya5USoettlxV0aOGcOV1z7OR5+UMaZEPsKsbBTvK1AqkSYNzH72Q+594B3OOu8sNtxo02Djqj6rhKy/c9/lBBOyZJMwj651S5AElRQTx5xz3iWUkx5cff1DJD5YMLGKiovWBBSIuhWpNLVQcSXGT7qLQVt/m5EnnEJZw4az86Ggzye+7rzhupxgwoiRmS2Eom5EDJEI4jz9+2/O2Rd8j+l3v8gzry4mlRgXxXgVRExrgmeosg0bYp7cVLa2KRzOgwv1LYQcQLFR9r89GE+SJBR7rsdjT77FzEfncNFFP6BPn7VCo15cKOxCsHGx7gb4LigYg1DK8mcIqTQSYdVg0oSShaOPHUmvDbbjsml/wcd9cGpJnM+MG8ieehbUhvpyMfX2IGw3wVy8lqeSmSECxsZoqqRJivcJqVbwtpFP5zmuuvYuDh52MIOHHACEKyOEZLFlibad9Y06hi4omC+nZobg0pT+m23Gd7/7PWY+8SaPPPIycdwXExfxvopSzS5kBGQGcJJ5a63htN7bWsszV9Qn+LRKVChibQFrSkTFdbjrnmeZ/dJCvnPJJfTu14c0rX1CSEeq1+dP3QjGe4+1Nms1DocfcSg77rATV175BAsWWxwWGiyOSvatTRCNCsEwY80WTK28JTQ7kqzeRRF12Mhm0TEDdOdvHyZMvfYxhh06nF0GD8Grb828MLiwzsxK/OuNuhFMbYSx1uKcY+211uLc8y/mkZkf8+jj7yBRDyqVFpytXUnbat5g8Ji8FCCjZk4hhBBkGDV8qphiX0y0Flff8DDzl0RccNHFmLhE4j02CmXKkgmmXoeYuhFMqKcJTUVFQkHSgcMO56DhRzN52gw+nldBSr0QG7fxPqsFPuvwUdheWkdYQWq+yapgFBWD0wLeNfDCix9y259f4fgTz2SHnfcJrV3F42ul4bSpyKz9po6oG8EYY4iiiCiKMMYgIpQaGzjn4kt45Y3FzLj/r4jtQ+KKeCJUHGqS7EaRNl7BazDiEM3MFjSE5L0ITgRnGimnjVx/y9NIoR8nnXwWxsakXrE2jNS1+qd63H+pUd93icJe+w9m2IgRXHP9E/ztbwkq/XAYVFLUVAitMaJcMDVTBcjORRBMtZqgtogUe/H8a58y/e7nOOOs89l6m0HBwdQIsRgiIkzmxgCSxe078/t0DPV9lwhUnOfiH1zCkqYeXHfd4xTi9fEa400VTBlw4Avkhn9+2ejS6qRviIoNVLywoEW58qYHWGeTbTl25EiMgPMOo7WfswhRFkgxhPVPrYtL/VDXgknV40zK5oO25YRRo7jttpd4/fVPsYUSSAJSzp6qEXj7Tz+vngnycMu8xjB4FVIMUWMPnnzuDe5+8DXOv+hf2XDjjfE+xRoPmoZsixTw0hqSXhZiri/qWjDgSH0LcaGBU049n+7d+3HlVfeQplHw6pFsz6DVxXFNJlu31FLB0dDLxxaYv7DK5Gkz2GrbHRlx7HHZ+x2oD37KKiFrQlf4vDqkrgVjJJj/OQf9B27J2ef9iNvv/CsvvrQQb9bBSyPVNEWLoCSdfbidikiMd3HooCAJzi6FgkelNw/f/zGvPL+Qiy74Pr17NKI4jImDoYWJwRgktHlpU35vCT6R9SWcuhYMgMm6VBHBoSOOoP+AHZl8xT00N5VAemFskbS8GInr68K2F++UKC7iXRWnVdQKjgKffV5lypR72G/I4Rx2+AhSV85+ohYYsMt7VLSextpaqL6ov2/UBlWDEBFHEWkC6262Phdccj6PPfUhM594G9F+oEWMVdRXO/twOxXvEjwJYsrYgsW7bji3Fnfd9TzzFjZzzgWnExdjlELWqmLNpK4FYyXC+Bg0NC5NSTj8+GPZbNA2TLvuKRYujJGoByIOrTZ19uF2KlFkgSqpW4qKYqJ+fP5ZgWnXzeLAQ45g8NAhpD4NZolrMPX97cM2dFaCnlDWJgoNvfneD3/CX1/+jAcefJWIHrjUYUtF6i0E2i5EwSeI8ThvaKn25KrrniBJenPuBReCWKqu2pkurasF9S0YwBqwVvA4hJDtNOTAQ9hz8HAmT/szn3xWIS70hTQIy2deWqu6FVxnoy7s8ttid6JCX1594wtuu/NpjjluNIO235Wqq4Aotk0PpDWRuhdMDUGJTIRHaWgocfEll/DxPGX6n2aRRuuT0g1jDDaOQy5aHZrQfSUCEhWoVIosamrg+psfoqHnupxxwXfBRogUiKIY1TVaL3UumCxQE4I4FoMNLjMedtl1dw4/ajRTbnyUOR9UcaZX1mUgJHAi0jrarBFEMV5KFEob8PKri7jr/ucZc8ZZbDRgQ8oVB1JEVIgk63C8hlL/gsmyki0xlijsDHgwJTjnwnOo6v9t70yjpKrSNf18e58TQw5kJiSgICggiMNVLK1SHEulqkQFnMARGWUSLKe+vap6df+6vVb/uKuWt++9NVkqCjigXpVSFEW0SgEFCydEEAcEkVmmnCLO2Xv3jxMRJJRdJRaZQcp+1jpEAklyMjLe2NP3vW8dDz/1NjlbjdIaE0VJ1lOr3pojgTg2xC5NQ1M1v7v/RXod909cd8v1OCBMp5PwV6sRIpyLy327ZeP7LRj2eTBIYXRRLsmbIbL0P/kkRo2+hVlPLOajT74CpdBh8D07avt2OBF0WMUrr77Hsre+YNqM2+narZ6IPMYmGT5aK4ToiHZA+N4LpoSTxJYJAIsRi3EwZdoM6up7Muux12hsziKqBmcFF+UIAsGKI5Zih3timdGxZvFF+RfvW8AFOBsikk6yelSETtexfpPjwUdf57Qzz+KKESNwhZJ9SVJKsMZiYlvevIky870XzH4Hz6XcHoVSGuegR49jGDtmHAsWfciy9xuw0hVrk0Ba63IYbYm1JIbbTsC4QnVuR0Badde7QuuwQlwakSrykUCgsSomb2tYsGgzK1dvZMLUsWSrq8EGBISJI4+ADjQ6zII/uDwCEQqdmXDTTTdzTJ9B/OaB52nIaaJYIUEarE3K1xNPFZKekY5U8lEKoiTxMCjsCUseCSPifCOiMkRRhm3bYx6a9Sw/u3QoP/nZpSRJccJfdxsfPlkt5aCj/OQPKdYW4uO0xpiYLl3qmTRtEstWbmPhG++QrTmKONKIU2hrCa0hsC4xiJCO9O7qCj0pgA0KU1KDpZEo3kG6Jk0u5wiCo3nmmaXs+LqFsbfeis7UghGUqFK78ZErkf05IgWjtUZrTUtLC0EQkM/nGX7V9Zw++Dz+474FbNqRI0jVYKPEPUVbUxhhJMl37DBzeLtPMASFyyFBHhc0koubkLCWz9dbZs56leFXj+LsC4bgIgMq8Iah38ARKZg4MdEiDEPy+TxhKkU2W8e4yVNZu2En8xe+R2SySLYWrEr6Pkj8ZYzojrPkl9ZNXIWeH3FYFRETozIZ8lQx5/ElWNWNcRMmgtFJwlvxn3WYb7Z9OCIFo7UuPQZBkEzNgHPP+yk/vWw4D875E+u35FC6FmyAix1ohRVXspztGMi+KVXBZwySqaWxGhXU8Pa763l6/puMHjeRgaf8oFCuX4jk+4blyvfXou/b0VF+8oeU1nViSiUGp85Cl8pqxk+YzuZdzTz+xzdpiTNYVYmkKjHNeTAxOlSF+PMOQGkrvbCWkaRJzsYpUqluNDRlefTJJUj6aMZMmoZOhcneQOtUF3fAoxeMByBwjjhynHvORYy8YRwPP/EGH32xGxN0whqNSmcQEeI4j3UdpWSm4O4JIPmCYARrKzGmC28t/5IXF67g9v92J/VHd8VgMM4kaeKl7sl9bw4d5G2iTfGCKZAs7gEHYyZOJqe6MOepV7G6itgoRKnEJQWLdBgPVAFXMAUvCMYBYVBH454KHpr5Giee9EOuuPIqDBC7GCcWV7B9TZrqXOlLgReNF0wBEcGamFwupn//U5k4dTxPv/AOb76zCp2uwhiHMzGB7khl/0JxZ2zflEzj4ixLlqzl7bc3Mm36bXTu2h2DaXWAn0RdyH7nCrvpkAAAFJ9JREFUOAl//SdHFl4wRSSPCmJS6QBrhRtGjaVz1948NPct9pLFhZWoIMTGMcqpwon5vosDnGecOFyZRyJH0fnI4VyEtQ6rOrGtqYJ7/7CQQedcxNCh16CNIXS2YMaXhO6IaNBhsvIv1ePt87k4UvGCAcDhlMUGjshEOAN9ex/PhAlTefGVj3hj+WfkXRaCNNbFuDim1DvwDWIpfs3yvxc7nHLEUQ4JUljSxFTz7MvvsOqL3Uy67W5SVVW4fA5xttD+oAvulZqS0YWnhH82ABCcTd5ZtVKIckQWrr/uRv7plDO5/w+LyOUyaJ1FB4IEjiQvMAYxOGVKHmelr1j06ionzoJE6CDA5gWkExs3NfDoIwsYNmwE519wLrEBlQ4pv7g7Bl4wJQKUpBAFSlmsiaitO4oZt93Fuys2s2jRh+TiMInVFJeYmReu5HDwwCrm8tdciTgkbkGJ4FwFKtWVx59azFebI+68605UKo2oZNpW7nvtKHjBFBBROCfJlEtyhKECC0MuvpohQ4bz+z/MZ9sugwmyGGm1RlEF0RSDM4scBm6aIoLDEMWCTtez+uMdPPvcCq4deQMnn3I6uvB9GGcLovH8PbxgCogDZyAQhThDbCOcg0xdmlsn3c6qj3PMX/g+EnbBqhRWFGiFsYUMlWKkMweKpnw459AqQKdraIwqefCRpcRhD6bNuKOk5TiOsQj5yAdKfRu8YFqRVMwIWhShCpJJVgSDfvgjrrz2GmY/9mfWfL4XSyUOjXFJbpnTIcaZ/QaUwyGl3jmHVRnyJsuqT3bw7Asfct0No+nVfyCQNIWlg5BAp0mlMmW+246BF0yR0qtbkURfKCTpFyPVKc1td97Jxi3C3KdWgNQQRQpHCJLCGoNSQamgRA6HDTIgSSXI0BJX8p/3P0+XY3pyy6QpyV859sXr+d2wb41/llpTWvwmglEKRDuscwwcdDpXj7qRp599h08+3U6YqUGpLEhido4UnO8PD6UkiEbpGla8v4Fn569m8oz/TrejjkruUAwQkeTClPc2OxJeMCUKrxq3b3fLuhh0jtglNrLTf/4LkB48PGs+xgY05xxCijBTQT5vDuiTKfer0CESsn1njgdmPscPzv4Rl44YTrODyDggKmW7CBzpIdLfGi+YIgcUGkJhW1ZitHYYm6dP3z6MmzCe+Qs38O7760hnqhGncDmTrAGclLackwaatlrFtD7vaXWRrFuQZOtBUhW8umQ1S/+yhTvuvoPOdfVYm6xdSoYYxW+73AuuDoIXTInCyCKt/TICFFlwaSDAAaPHj6W+70nc+8BiWiJBi0PlLDpOvLuMthgd41BJ4WMpwvvvXQdDshtXsjsqrJmcLZRNKk2sQ9bvcPzbQ+9y+nlDufzykRAb0li0CJACySRTSfF6+bZ4wfwNnEsiM5SEJf+L7kd1Y/zk6SxY9DmLl3yMSCbZPrZRMroUBCClw8w2oHjm4yTpCEUAi3U5gnRAS96iM1145o9L+GxDI3fc9c84J4RaYaJirEex/EW+m2aPULxgvgWJu4xLrGSBYcOu5PwLfszv73+JHTsFUiFO53ASIU6VIjaSRfWhXssUy3KKu1uFlK8gaT1uyTcTpmvYsK6FObOXc/VVVzH4nMForYmiiEzGbx//I3jB/A2KZfxFhxmlFMYYamo6M3nabaz4YA8vvroKla0mLpz2iwkTwWCTHpQ2ubE4+fpOk+zoaZyLUSkgDEDXMOext2hqzjBp0kREBGMMSqkjyy+6DfCC+RYUhWOtRStNLh9x8cXD+fGQYTww58989tUuSGdxKBSpxNIIW+g/aYMXaKnQs1gprbBIYtARVPDhx9t5+NHFjJ3wc047/UxcK1spzz+GF8zfoXX/f/LocMaRrUwxdfpdrNvkeGbBOxDWYiVLnAerQtDSZqbd4lRhyZFsjyWGnIKVClqiDI899TqVdf257sZxIIJSiiBIWpWV8j/yfwT/7H0LiqIpXukwJNfsOOuCwYwYdQMz56xg7eeNQA0qVYGQvKOLbot2Kyn06etSF6XFIboaUfUsX7GJJ59eydTp0zjm+N6l+1dKdaBO0cMXL5iDxYFYSxgCAuOnTsKoamY9shxcHSa2WBehUiGWoI3uIUymYhLjVK5w9lNBQ1MVMx9axnHHn8jI0TcmlmptcwdHLF4wB4skB5px1IJxcOJJgxg95jYee3QZH360nXS2AqcijAjGpWiTEcaGhQV/DJLDiUUHtbz88oe8/ZfPmDxlCjWduxC5I91F7NDjBfNdcJYgsBhasMDI68bStXt/Zs96jsgYnIoLZfMHPyWTVr/+fz/DFQQjMU7lEQ2790bMmvUyp5x8HpdecW2Sh0vsR5hDjBfMweJAdAokQJzFuDy9+/Rm2vQZPP/q57y1bCNKdSFUCq0aQHaDasbaPBYHorAUL42TNKgKdJBBEIyRZLql01gJcEqTdzExedA5HE0kh5QWK5ZYgQsqmDf/LdZ+1sT0Gf9MbV1nWvJ7CdSRHX7UFnjBfAecAydpRAVoidESc/UNozi238n85g+LaWysxcWg3B7QzTgdQyZF7AIil0VX1KMz9cTUsKchy5YtsPGrJkQJTmUh3YnGvIJULZKuI9WpGypdRWwFdEhsDWQriF2IhHVs2BLxwOw/c/GQqzj/wiHYPGQDjSZHm1UbHKG00ar0e06rahKHYHB0qqtnwuTJ/K97prDg1RWMvOZkbM4Ri8LZDEp1QqeybN70NWs/Xs2GDbv49NMtbNu8GRMbtjZXsml7Cy8sfIev1m/ERXup79qJmpoKuh1VT+9evamv64oODUE6j4vzGNMZm6/l6acXsXmT4d9/O42wOsAZsDYk2UH2q5hDiRfMwSKtrboEh6ZYmDnsqpE8++Rc7pu5kAsvOoWK9DEoqaVhbwurV61h6dK3+XDVVoJgDz16HkX/ASdz0SVnUdu5hg07K3j/F/+OUZCpqiJujti2bRerPlrLzt2GpsZqutUHnHxCPWeecTzH9ulKl279Wfnx18yd+xeuvuZmTjn9h9g8qBCMFcSki6XJnkOEF8x3RRXyHwsL+3zsqKjpxNgpk7l9ymLmzlvBtVdeyp9eXsbLL75EmIrp27cnt824jOOPP4YgNKRSggocKtDk1hoyVXD55Wcz4qenEbKXOB+DVNHUotm+bQ+rV37Ayg8+5t9++zQ61Jxz7qW8+/5mDD2YNOOe5CRfQz62hUQCOYLD9doGL5iDpdQ7UvwgqUtWgWAsXDjkcn7802H8+v75LFm6kmq9h0svO5uzzx5At64ZAhURRzsTxw0czphEdk6BzWHiLaRTDdC8lWwoGNcE6YC+fbKc0G8Ql19+Ihu272bp8l3853/8kTWfNPPL//F/6HvS8eRzBlExaMGiUcrL5VDjBXPQuNIlqJLZhbEQW0c2k2b85Ok889yLNLTk+dd/nUi3egtmJ3H0JYImtAHYCjCZxOwv0IT5CJU3hC4mZXM424C4CGc1GZVBXIAzMVoUPXr1pdfXtWz+Oke/E07lpjFjAAjTYEkc+kH51Usb4Ce4B0tpdEl+U1z8q8KpegwM+sEPuXH0WFZ+tJUtm5vIt2jyLYZMmILYIEYjJoVEKTBpMCm0zRKYkCCqhCiN2BTEikACNGBaWggEtBIamuC+mS+y7euIqdOn0aNfV6yBpKnMIhgUMcrvkB1yvGC+CyL7eY4Vc5UD5YjjmFSY4taJU0mnjuL3v/0zJncs2KPJN2cQqQLCwozOgDSDagSxOKfBZsGmwCZCcnEINkOYqsHGISLVvLX8cxa8/A7nXjiYK0ddiXMkZzwkXaLJlTSVeQ4tXjDflQMMYgTI5ZoJAkdzrpkTTxzAuHG38scX3mXp8s8Jsl1xQSWgQFnQBnQeghYIGol0C5G2xIEBVWjS1woJU+RjsKQxZGlo0Tzy6Gvs2SvcOnkyXbrWk4ua0TqJthCyCBkSUfpiskONF8xBI/s9FkcXwREGDmxMGCicg+tH38BxJw7gvkceZVduO6TzxNKUiEWKp/4hVlIY5TCBIQ72YsImnM6DKhiea0uMgVSWN95cyUuLPmbEsKsYetkwcHlEHM4lKc+ltmWrKLfz5vcR/4x+JwpPW6sDTIWQDrMoQgKdwhhD7z79mDjtdpa+vYmFiz5EXGdwlWALuZOYwiAQIDZFYAHJY1SEJQOuFhcpUqoJRyO7Git54JG1qLCa22bMoKpTZxyKVJje57S5T8G+V78N8II5hEghiMg5UCp5pV513WhOOGkQDzywhK93Bpi4CiRdWL9E4BI/M+U0yhbneYUCyzhZj6AcOpXhtTdW88Irn3DDzWMYdMag5P+UAOe+IRXNi6VN8IJpQ6LYUVPTiTvu+jlr1m7lqf9aSrqiB9YqklyZPEpilE2WLdqBtiHaBkAMQQ5jc1ipZE9Dhsf/6xXquvZg7Lix1NbWEscxzjnfGNaOeMG0ITqAXBxx8c8u48KLL2PO40v47IsGbFCFVQYkB0QoJyjnwIGyKZTVCHlQzUhao9PdeOm1tbz2+lfcMuZGThtUHF1kv0dP2+MF04Y4ZxDtqKys49bJd7B9hzBn7p/IkyXWQUE0NhGKA3GCskHSsy8xaINRKb7a4Xhw9mKO7n0cEyZNQQc6ibLQej8LKE/b4wXTRpQsmmxMFDvOu2AIP7viJmY9sZRPN+zFqEpsmCU2BpRCSZB4MzvAJnaveWORTBcWvPYRb67Ywpjxk+lzfN/E8qxAcUrmR5n2wQvmEHOgYUaoNUpApWH85MnEdOb+2a/QFFURRRliyYBJEsCMSxLDCGyygaBr2bxD+N3M1zjlB4O4/uZbMBYSo/H9p2NeMO2DF0wbohC0E5SCOIZTzzyNUaNv4Mln3ue9D7ajg6NJpWpwNiK2DgKHkxxIjjgSlOrOvOdXsObzHUyeMZ3uRx9V6KD04igXXjBtiXOITQ5rHCBamDRtKnXdj+bBOUtoaK6ipUWQqgp2NTRgxGGkGWwzQaaajV9ZHn5oCWeedS4/uWwozhlsbPGDSfnwgmlTktN2m48IUhBZR98+xzNh4nSen7+S5Su+QIedcPkWwmwFTXkLQR5SERDy3LxlrFm7m+kz7qF7XXeMbSEItC93KSNeMG2KgFLoUGFtDlFJ8OrIUTdzxhk/4t57n6Ypl8bqNJBP+jZtBlw9n6/L8fiTrzNixHAuvugSIlpIzC+Mn5GVES+YtkQo9DM7lDJoMRigZ8+eTBw/nVUfbeH5BcuJdWdMbgfVJoc2xxC5s3nwybV88XXMpOljqa5Ko40mCLLEymB9FXLZ8IJpVyyO5NzlsiuG8aPB5/Lr37/E5u0O47JERuFUNavWbOXZ+UsYMXI451zyE+J8hKDQovd5KnvKghdMW+OAQmdm0p/iyMeO6q61TJ4+gzWfNvD8ix9B2I1IKVxYw4Ozn8aqFFOmzSAJpw1RShNbi4jG/9jKh3/m24VirHciGhWAs/DjIUMZfs2VzHxkAW+/t4m8rmTZe5/y4qIlDL9mFCeefhY2FkQ01gpaglKepac8iHPOP/1tiQWUw5HHYnFoYqMQp9EIK9/7C5dfcRm9j+nMZ+s2ARHH9u7HnEefpP+AAUS5GFEKpZNKZmMMYRiW+Zs6cvEjTLsgJHmS+3JdHBal4LTTz+Cqq29k+YqP2bWnka935bll/BT6DxiAiSEINYFWKJVUDmjvBFNWvGDaGrXvg6LLTEprUoEmjpOasVtvnUSfvieQzxtOPmUQ1147ksiAwyYlL4Vt5GLOi6d8+Ge/jXElewpViDEPEFdsZYYoZzht0IncfNPNpNNV3H333XTr1hVnDaIOSDj2k+ey433J2hCHxRKj0IhrFX1hk1+MjQjCgJbGZq6//lqam5u4+srhSbWyszjrQLVFipnnu+IX/W2II8YQIYRoglYegElgbBQ1EaZS2MggkmZPYwudOnVCBKI4j1YKpYu7a0X8pKCceMG0KRaLARSq6HJcNHdxESIWaw0iutC7r3G26ADjCmKB/QXjR5ty4gXj8RwEfnz3eA4CLxiP5yDwgvF4DgIvmDJx4NKx+PsDHz2HF/4cpp1wzu0nAmstzjmCINjPwKL4sbUWa5MkMX+6f/jgBVMGnEuKKNPpNM451q1bx6effsratWuprq7muOOO49RTT6Wqqqrct+o5AL+t3E60HmGiKMI5RxRFPPHEE9x777188sknAIRhSDabZfDgwdx1112cf/755bxtzwF4wbQTB07Jcrkcv/rVr/iXf/nfDBx4AhMmjGfQoNPZvXs3H3zwATNnzuTMM89k9uzZZbxrz4F4wbQTRcEIIEoxb948Jk6YyNE9e/DE3LkMGDBgv89ds2YNGzdu5JJLLinfTXv+Cr+GaRdswYDPIkrR1LiXuXMfZ8/ePfzfX/6GAQMG0BIZQpU0iYkIAwcOZODAgeW+cc8BeMG0F84lZf0IX65fx/Jlb9Knbz8uuvgSGvOOTEonDv7FFrPCwO8tYA8v/H5luyNs3bKV7dt20KtXL7rV1yYJzK1MxVtfnsMLL5h2R9izZw979+6lZ8+e5GNIipK9ODoCXjBlQJTCWEtLSzNBkHT4i+zbGDhwR81z+OAF0+446uvr6VxXx9q1n9DcnEckSV02xpQ+S0SI43i/oCQvpPLjBdPuWHr36kXffn1Zv/4LVq9ejRKIIoNSChHBGFNKGPMCObzwgmlvrKVr9+4MHTqUbVu38uvf/JY9e5tIpzRKBGstQRDQ3NzMxo0by323ngPw28rtTWE3bOS1I3nl1T/x4H2/I53JMmb0TRx7TA+CQLNmzRruu+8+du7cybx588p9x55W+JP+dsGCtYn5BUklsgozvLVsGb/45f9k8eLXqaqu4bhePTDG8OWXX1JVVcU999zD9OnTS1/Fn82UHy+YdsGBS8wtkrP8Qu6rKLZu38mSN99k4UsL+HL9OjKZDEOHDmXw4MH069dvv/J/L5jy4wXTriQn+a13vv5Wr0vxMNNz+ODXMO3KX7/4W4vnG/+FF8xhhRdMGfAi6Lh4wZQBL5iOiz+H8XgOAi8Yj+cg8ILxeA4CLxiP5yD4f27XZClpXrzxAAAAAElFTkSuQmCC)
Maths-General
Maths-
Given 6 collinear points, make a conjecture about the number of ways to connect different pairs of points.
Given 6 collinear points, make a conjecture about the number of ways to connect different pairs of points.
Maths-General
Maths-
Prove that the triangles ABC and XYZ are congruent.
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)
Prove that the triangles ABC and XYZ are congruent.
![](data:image/png;base64,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)
Maths-General
Maths-
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Maths-General