Maths-
General
Easy
Question
Find the simple interest and the amount on Rs. 4,000 at the rate of 8% per annum for 146 days?
Hint:
Find the simple interest and then add it with the principal amount to get the total amount.
The correct answer is: 4128 Rupees.
Complete step by step solution:
We calculate simple interest by the formula,
…(i)
where P is Principal amount, T is number of years and R is rate of interest
Let the sum of money P = 4000 Rs
Here, we have
years, R = 8% and P = 4000
On substituting the known values in (i), we get ![S I equals fraction numerator 4000 cross times 0.4 cross times 8 over denominator 100 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJMAAAAjCAYAAACQLzhgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAy9JREFUeNrtmz9oFUEQxpeHSJAQsAwiNkFERAQLEbFIE0SChIBFEAsRgoWInUgQsRAsLMRCCCIpRIQQLKwECWIRJI2IRQrBSkTSWEk4gvCcIZ94rLd7m73Zx+27+cEHubu57L7Zudk/d2tMHkyT+o5rY6QnpHVoEedS20nQtCyfXyTYR3pM+kUqSG9IB0zGjJI2PE5bJV2wHLw6ADsJmpRV5xcJnpHuk/aQ9pIeIOizhZ/Wqw6nXcSTY/OINJfQToKmZfn8IkVhHfdI27kG0pnSk1rltBXSVMX5SVxLZVdmAdrttZiyQv0iUT+D7m3UCqZvOQYSp9XPpEMep/2EXdW9mwntQhqlrqFiywrxi0T9DDLnjdLxadLDHIOJ++frpeMqp/323L+d0K6uwUIaKrasEL9I1I85jrqw3pN+kM7mFkj8I9asc7sNpiKhna/B3gY2VExZoX6RqB9nvhek8VIGPUn6inpkA88YJgKctunoKkasrkLaTqKxYsoK9YtE/V45gobHdO9yCqZ+jcqD2HMV909VDKwl7SS6kZiyQv0iUb+iYZZufYDZzJKeVpxfsqbX0nYSA9zYskxEZoqp30ZFFmSOYuw0dMFkkHJvmn8LawsYLKa2k5h6h5RVl3VSLQ3MIqAmsSTQw988ZroW0mD8o+6RviOVrTtS8Rb+eRuCab/ZWaktUK9Fa20klZ0EIWU1DaYm8MLqR8zmCgT6TOjNr2Hcw0DwCmnZspnAOoeiOOEU9jLAbibQTukwl0zYS8a7pFvqLsXHQfTb3K2Ne+yWPf1m3zSbvipDxAlkJ37Bd8cxyP5iMv+mRRksc8hSa+b/t8ZbCWdrqjxVCwfRc2Sov5wy/qV07eYUJ5exDlLOWEvqFiUGzkzTpWP+vmVe3aL44I/ab5OO4HgMSwD2C0d+k3xe3aX4OIYsxEvmvHT+wex8X2zDXweOqLsURZbDmJx88ti0cXuV0tLx5HzNDLWN26uUFuMKpjZur1IyDaaU26uUjgVT6u1VSoeCaRDbqxQNJtHtVUoHgmlQ26uUjgzAU2+vUjoSTKm3VykdCiYm1fYqZQiDqO5brTZur0rGH9TOw8gCb13VAAAAxnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5TPC9taT48bWk+STwvbWk+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW4+NDAwMDwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjAuNDwvbW4+PG1vPiYjeEQ3OzwvbW8+PG1uPjg8L21uPjwvbXJvdz48bW4+MTAwPC9tbj48L21mcmFjPjwvbWF0aD5JHsZYAAAAAElFTkSuQmCC)
![not stretchy rightwards double arrow S I equals fraction numerator 4000 cross times 0.4 cross times 8 over denominator 100 end fraction equals 128](data:image/png;base64,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)
We have SI = 128 Rupees.
We know the formula for total amount = A = P + SI…(ii)
where is the total amount, is the principal amount and is simple interest.
On substituting the known values in (ii), we get A = 4000 + 128 = 4128
Hence the simple interest after 146 days = 128 Rupees.
And total amount to be paid after 146 days = Rupees.
Related Questions to study
Maths-
A square park has paths as shown. Use coordinates to determine whether a coffee shop at point M is the same distance from each corner.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQgAAADhCAYAAAA0yisBAAAUXElEQVR4nO3dfYxV5Z0H8O/zPOfcmYEZGAdmEKQJplKtTV2pGKS4FrJtt0hsNRp2K9kStksES/fPpva/De2abps06W6kicakkaqtkSbWUdJWXNPaDhhQYwosqLuoRBhenFiHmXvPeZ7f/nHnOdy5zAOiwz3n3vv9JDf3Zc7AM+fle5+3c44SEQER0RR03gUgouJiQBBREAOCiIIYEEQUxIA4DxFBuVzG8ePHMTIyAgBwzkFEMDIygnfeeQdjY2M5l7J9+P70+mf/mv3t048BESAiUEphaGgIW7Zswfbt2wEAaZqiUqng0UcfxcaNG/HKK6/kXNL24JxDuVxGuVxGkiRIkiQL8EqlgjRNkaYpQ2KaMSAC/I727rvv4qmnnsqCIIoipGmKl19+GTt37sSxY8fyLGbbOHDgAL73ve/hqaeeysJba42nn34aW7duxauvvoo4jhkQ04wBEaCUyl7HcYwoigBUv8nSNJ1yObp0Dh8+jJ/85Cd49tln4ZyDMQYAsHPnTvz4xz/G/v37AYABMc0YEBegtYaIwDkHADDGwBgDay0ABkSjaK2zZ6VUFgRaaxhjsgDn9pheuQdE0TuXandG/945l+2IRS57K6ntmLTWTnrvw5umX5Tnf167of0B578pisKX0ZczSZJJZWRQXHr1IW2tzZoZPrB9jS5JEpRKpbyKGtSsNZtcA6I2+f1OUKQDrb4q6z+bKsSKVO5WU3twKaWyYKj9zL+vD5MiacaQyC0gfBhEUQSt9aSOpyLxbdva9865c0KiaDWfVlO7b9R2Gtf/vIi1h2aWW0AopXDmzBns3r0bw8PDWWdgkVI2jmP8+c9/hlIKhw4dwmOPPQYRQZqmeOONNwAAL7zwAsbGxrIqbjMo8rfsVIwx2LNnDwDgyJEj2L59O+I4hjEGb775JkQEL774IqIoQrlcLtQ+5K1YsQKLFi3KuxgXT3J09OhRWbVqlQAo7MMYI8YYUUqJUir7XCmVfZ53GdvhoZSSKIokjuNJn2utxRiTe/ku9Pj5z3+e56H2keXaB+HNmjUL3/3udzF37tzC9EjLRPNnz549eOSRR7BixQqsW7cO4+PjEBE8+eST2LVrF+69915cf/31hSl3PZloyvm2+9DQELZv3467774by5YtQ5qmiOM472KelzEG+/btw7Zt27By5UrcddddKJVKUErhF7/4Bfbs2YNvfOMbuOGGG5CmaWFqEEopPPzww9i9e3dhynTR8kynY8eOyapVq+SKK66QEydO5FmUoCeeeEK6urpk06ZN2Wflclk2b94sAGRwcDDH0l28X//616KUksceeyzvolyUZ555RgDIPffcI5VKJfv83nvvle7ubvnlL3+ZY+nC1q5dKwDk0UcfzbsoH0muNQg/IqCUyubS1/dQ50UmvnWTJAGArI9hfHwcaZqiXC4DACqVSm5l/DBqhwDjOM7OYfA1njRNs9dxHBdi3U/Fr+ckSVCpVKCUyqa9iwjGx8dhrYW1tjAdlSKSlbuoNcwLKcQwp0xUg40xhRrq9DthbQ+6MQZpmmajFr6sRd0B6svnp4n7Zx/SSZIgiqLCrPtavgMbOBvcte/9vuP3n6JsCylYp/tHkWtA+OHN2mnLRVuhflKO3yGjKMpqFcDkKcBFJHXzOHzY1c8b6OjoKOzfUKt+mLn27/CK9Hf49V2kMl2MXEvtvxn8N0CR1H7zpmmahYIPMR9qRfzGrVXbjPPv65+NMYXfgX15/XyZ2mC21k46ga5Iil7DvJBCjGIUkd+wV1xxBe68807cdNNN2XkAAHDjjTfixIkTmD9/fp7FbBt+e/ggsNYiiqKsjT9VTaJIiv5FEsKACPAdp0uXLsXSpUuzvgegWs3dsGEDNmzYULiaT6vq7u7GwoULMTAwkIWDiGD+/Pm45ppr0NPTA6DamdnZ2VnYoGg2DIjzUEplcwR8f0nt2Zz1033p0lm+fDl27dqV9ZUopVAul7F582asX78ec+bMgbW20CMxzYh7eIBvu9dWDY0xU3aQ0aU3c+ZMLF68eFIzL4oiLFiwYNKIBmt004sBcR5a63M67+p3wGZtWzYjP2xYX3PjKfeXDgPiY2ItonEutK65LaZfsce2iChXDAgiCmJAEFEQA4KIghgQRBTEgCCiIAYEEQUxIIgoiAFBREEMCCIKYkAQURADgoiCGBBEFMSAIKIgBgQRBTEgiCiIAUFEQQwIIgpiQBBREAOCiIIYEEQUxIAgoiAGBBEFMSCIKIgBQURBDAgiCmJAEFEQA4KIghgQRBTEgCCiIAYEEQXlGhBKKWits9dEVCxRI/6TNE1x5MgRvP/++3DOoVwuQymFkydP4vTp00iSBDt37sTMmTMhIhgbG0O5XMa8efOwcuVKdHd3N6KYRFSnIQExMjKCn/70p9i1axecc0jTFNZaVCoVnDx5Emma4lvf+hbSNIUxBmfOnIFzDkuXLsXixYtx9dVXN6KYRFSnIQGhlEJXVxd6enpQKpWyh4hg7969GBsbw2233YZZs2aho6MDcRxDKYUrr7wSvb29jSgiEU2hIQHR19eH++67D9/5zndgjIFSClEUYXh4GOvXr8ehQ4fwwx/+EP39/QAAay3iOIbWGmmaQkTYR0GUg4bVIGbPng0AEJHs8xkzZiCKIogIjDFZrcIYky3jA4WIGq9hoxgiAuccAMA5lx30vnZQGwK1r/0oBxE1XkNqEAAmhYCvIWitISKTmhD1YUFE+eHXMxEFMSCIKIgBQURBDAgiCmJAEFEQA4KIghgQRBTEgCCiIAYEEQUxIIgoiAFBREEMCCIKYkAQURADgoiCGBBEFMSAIKIgBgQRBTEgiCioYZeco4KZuHawSPWlABDnoJTAiYNSgBLAaH8BYQWo6vIQB4hAKwXnLJTWUJq7UiviVm1z1XBQsBMXFRaphoTSAg0FDQUFBYEAogFUryFq0wSRMQDcRNgIAF5LtNWwidH2JiJCpFprUIBRGjZ1sO7sLQoUUI0J56q1BqWQ2hTWObhsCWo1rEG0K3X2SaEaDkZraFXdJUQpVC8uXnvgC7RWUEpDqQjWJnAigDKg1sSAaHsTPRDicPDgIbz9zlH0D8zDp66+BqVSDNEKmKgjaBFYa3H4jddx9OgxLFz4CSxYuBAlZWBYF21JuW7W2rts+df+PhlTPapt5LPPNA3EQUPg0hQ7fvUr/NO6ddiy5V/xP4dehzYG1tmsbwJKcHz4GL6/9Qe4e906bHvwIZypJNBRBG6N1pRrQKRpCqB6sxznHKy12fvaG+g457Kf+3t10sfj16ACqkMTzuL9kfcwd85cnD71HnY+sxOpFVRvhuYAV902f3jhBbz5xmEsXnwVjp88idFyBQJfx6BWk2tAGGMQxzFKpRLiOJ7yPpxKKRhjsmXjOM6ptK1JTRzeCgItwGc/8xmsvOULeP6//4ij77wLpXV1fEIpjLx3Cs/v+j0+d8PnsORzS6r9D9rAgl2UrSrXPghfYxgdHcXPfvYzdHd3Qyk1qYbg3/vgSNMUq1evxrXXXptLmVvPxLqeaEbEUYTVq1fj377/H3jxT7vxj//wtepAp3LY+9IevPXWW1j/zW/iTy/tAyKDFBru7L9CLSbXgNBaQ2uNU6dOYevWrUiSZMoahG+C+J9dddVVDIhpNTHU6QRwwN9cdx0+9amr8bvf/g633fYlzOzUqJTHMDj4NGb3zsbnb7oJfxh6CSKAYudkS8s9IJIkwYwZM3Dfffehp6cnuwN4/XIA8Pjjj2NoaIg3950GSmqPbAUggoiBOIW+2b340t+twH9t+0+8/MpLWHXzSrz5+v/hpb0HsHbtnbisbw4UHDRSROI4maaF5RoQvmYwa9YsbNq0CXPnzj3v8vv378fQ0FCDStfipDZkNZxoQHXAIIZYi7/9/I146GHBc7//LW5a9nkMPvN7DMxbiC9+cTWUjiHioGERKcex8hZWiPD3Q5cfdxm6CGrya6U0rDhUbAKngEVXXombb74ZL/7xRby8dx+ef/55LFu2DJ/+9DVw4s7pdCjEjkTTjtuVzhLJmnMdnZ34ylf+HqdPnsL9P/h3DB87jpVfWHn2hC0AED8Tk1oVA6JNZcf4xNHt4GDFQaCymtr1112P66/7LJ55ehBLlizBJxd/Mvtt5yzEuSwkqDWx+diuJo7q6jmY1WHkeZdfDh3FMJGGQNDX14dbV6/G/75xFF/76lcxe1Y3rHMAFPoH5mHGzFkwEzMpqDUxINqU1L2OIoMN/7wB1gk6OrqQpAlEUqy5dQ2WL7sF/f2XI00dYASljg5s/JeNUNCY3TMLYgXKsB7RihgQbSoLCAVABEob9Pf3wwqgI4XEjkNrYEZnJ3o+cRmsKKTWwgkQRRpz++dCOSDSEcQJwIBoSeyDIADV60AoraC1gnMCPTEDylkHl1qIFQgUFADrXNbv4FILzXkpLasQNQilVNZ7fr5l/ASpCy1Lk0217rJnFVWvLYcIGtWggBMoHUErVW06WAOlDIwB7ER/hYJAGw04PREbNJVmn9SXa0D4cyycczh48CB6e3vPWaEyMfQmIjh9+jQA4MiRIzhw4ADnRXxI/nT5UqmEo0ePAgDeeesIDh48iCQtA+IgTsOoiROvlAKUg0J1ertYQGU/E0ALBALtFJwDtNKcch0wOjoKAM17BrLk6Pjx4/LlL39ZAEgcx9m1U/m4NA+ttfT09IgxRrq6ukQplXuZWv3h1/EjjzyS56H2keVeg3DOIY5jLFu2DHEcZ2d41vPVZGstjDGsPVyE2ubFiRMnsH//fixatAgDAwOTfs51Or2UUjh48CCOHz/etM3iXAMiTVM459Df348HHngA8+bNO2cZHyL+gjFaa0RR1LQrvNFEJLswT6lUwo4dO7Bp0yZs2bIFd9xxRxa4fn02e5u5SKy12LhxIwYHB5s2fHMNiCiKsn6I+fPnB0/WkprL0TEYLp5ff0opzJkzBwDQ19eH+fPnZz9nMFwaHR0dAJo3eHM/m7O2hgDgvJ05ftlmXdl5qF1ntU2zJEkAVJsVWmuu10vEr9NmXbe5Xw8CmNz2Pd+KNIaXV79Yvu+mthZR/8ya2aXXrE0M7hVEFMSAIKIgBgQRBTEgiCiIAUFEQQwIIgpiQBBREAOCiIIYEEQUxIAgoiAGBBEFMSCIKIgBQURBDAgiCmJAEFEQA4KIghgQRBTEgCCiIAYEEQUxIIgoiAFBREEMCCIKYkAQURADgoiCGBBEFMSAIKIgBgQRBTEgiCiIAUFEQQwIIgpiQBBREAOCiIIYEEQUxIAgoiAGBBEFMSCIKIgBQURBhQgIpdSk9yIy6ZmI8hE14j8RETjnsiAQERhjYK2dFAb+Ufs7WmtoXYgcI2o7DQkIoFpLUEqdUyuIoij73Dk36TmKoixY6msZRHTpNTQgPF8jqD3wa2sY9T9nOBDloyEBUVtzqG0uaK0hIlBKIYqi7L2IZK+ttQwJopw0JCDK5TL+8pe/YHh4GAAwOjoKrTVOnjyJY8eOYXx8HA899BB6enpgrcXY2BjGxsawaNEi3H777ejr62tEMYmoTkMCYmRkBD/60Y/w7LPPnlNL+OCDD6CUwv333591SvqQuOWWW7Bq1SoGBFFOGhIQcRxjyZIlAICOjg50dHSgVCpBa43BwUGcPn0a3/72t9Hb24uZM2dCKQWtNRYsWIA5c+Y0oohENIWGBERvby/uuecepGmKOI4BAMYYvPfee3jttdcwNjaGzZs3Y2Bg4Jz+Bj8Uyj4IosZrSEBordHT0zPpIFdKYXR09JzRjTRN4ZyDMQbOOQDVMCGixmvYMCdwdvITUJ3/ACBrTvjRDa01lFLZcpwkRZSfhs+DqK0N+CBI03TSMKhvUrBZQZSvXCZK1X7mRzTqmx8MB6L8sf5OREEMCCIKYkAQURADgoiCGBBEFMSAIKIgBgQRBTEgiCiIAUFEQQwIIgpiQBBREAOCiIIYEEQUxIAgoiAGBBEFMSCIKIgBQURBDAgiCmJAEFEQA4KIghgQRBTEgCCiIAZEm/K3FfiwtxjwNzLy9y+h9tDQO2tRcfzmN7/B22+/nd37FDj33iX+xkbXXnst1qxZk930yN8VjVoft3Sb2rFjB3bs2JHdvMgYgyRJJi3j75V6++2349Zbb4W1lrdCbDMMiDb19a9/HcuXL4dzbtLtDr04jvHaa69h27Zt2T1V4zjmjZTbDAOiTa1ZswZr16497zLPPfccHnzwQQDVZoXWGtZa3hqxjTAg2pRvTqRpCuDczkrfvEjTFFprOOeyO7EzHNoHA6JN+Y5J32SY6qD3/Q3WWhhjYIxhOLQZ9jjRh8amRfthQBBREAOCiIJyDQjOymuc+nVd+z60HaZqUvgZlfThNPu8kVw7KSuVSjYOz6m8l4aITDnByRiTzW+YaiZl7VRsoDra4Ts0uY0+HBGZNErUjHINiCiKEEURlFLZ9N1mXZFF5YcmPb+e/YjEhSY++W3T2dnJbXORlFIolUp5F+NjyX2Y09ceXn31VVx22WV5F6fliEg2SzKOYxw+fBgA8Prrr2Pfvn1ZbSBNU8RxnP1eZ2cnDh8+DBHBqVOnsHv3bsRxDBFp+mpzI/31r3/NuwgfS+4BISIYHh7Gxo0bzzkXgD4+X4PwE538lOkHHnggmyVZ+7Pa3xsfH0eSJNi7dy/Wrl2bNUustXn9OU1FKYWRkREAzdssyzUglFLo6+vD7Nmz8cEHH2RtYpo+9QFhjMHAwADK5TKstdn6ru2L8KIowuWXXw5rLUZHRyf9W826wzdaT08Purq6MGPGjLyL8pEoyXlLJ0nCUKCWF8dxUzbNcg8IIiqu5os0ImoYBgQRBTEgiCiIAUFEQQwIIgpiQBBREAOCiIIYEEQUxIAgoiAGBBEFMSCIKIgBQURBDAgiCmJAEFEQA4KIghgQRBTEgCCiIAYEEQUxIIgoiAFBREEMCCIKYkAQURADgoiC/h+0Y+sj3rTELwAAAABJRU5ErkJggg==)
A square park has paths as shown. Use coordinates to determine whether a coffee shop at point M is the same distance from each corner.
![](data:image/png;base64,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)
Maths-General
Maths-
Place a scalene triangle in a coordinate plane in a way that is convenient for finding side lengths. Assign
coordinates to each vertex.
Place a scalene triangle in a coordinate plane in a way that is convenient for finding side lengths. Assign
coordinates to each vertex.
Maths-General
Maths-
A gardener buys two kinds of fertilizer. Fertilizer A contains
filler materials by weight and Fertilizer B contains
filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where x is the number of pounds of Fertilizer A and y is the number of pounds of Fertilizer B?
A gardener buys two kinds of fertilizer. Fertilizer A contains
filler materials by weight and Fertilizer B contains
filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where x is the number of pounds of Fertilizer A and y is the number of pounds of Fertilizer B?
Maths-General
Maths-
State and prove the Midsegment Theorem.
State and prove the Midsegment Theorem.
Maths-General
Maths-
Find the midpoint and length of each side using the placement
below. What is the advantage of using 2h instead of h for the leg lengths?
![](data:image/png;base64,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)
Find the midpoint and length of each side using the placement
below. What is the advantage of using 2h instead of h for the leg lengths?
![](data:image/png;base64,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)
Maths-General
Maths-
A sum of Rs. 4,000 is lent for 5 years at the rate of 15% per annum. Find the simple interest.?
A sum of Rs. 4,000 is lent for 5 years at the rate of 15% per annum. Find the simple interest.?
Maths-General
Maths-
Place a rectangle in a coordinate plane in a way that is
convenient for finding side lengths. Assign coordinates to each vertex.
Place a rectangle in a coordinate plane in a way that is
convenient for finding side lengths. Assign coordinates to each vertex.
Maths-General
Maths-
MN is the midsegment of △ ABC.
Find MN.
Also, find AC if CN = 35 cm
![](data:image/png;base64,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)
MN is the midsegment of △ ABC.
Find MN.
Also, find AC if CN = 35 cm
![](data:image/png;base64,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)
Maths-General
Maths-
In △ ABC, AM ≅ BM
BQ ≅ QC
Prove that MQ ∥ AC.
![](data:image/png;base64,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)
In △ ABC, AM ≅ BM
BQ ≅ QC
Prove that MQ ∥ AC.
![](data:image/png;base64,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)
Maths-General
Maths-
Write a coordinate proof.
Any right isosceles triangle can be subdivided into a pair of congruent right isosceles triangles.(Hint: Draw the segment from the right angle to the midpoint of the hypotenuse.)
Write a coordinate proof.
Any right isosceles triangle can be subdivided into a pair of congruent right isosceles triangles.(Hint: Draw the segment from the right angle to the midpoint of the hypotenuse.)
Maths-General
Maths-
NQ, MN and MQ are the midsegments of △ ABC. Find BM.
![](data:image/png;base64,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)
NQ, MN and MQ are the midsegments of △ ABC. Find BM.
![](data:image/png;base64,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)
Maths-General
Maths-
MN is the midsegment of △ ABC.
Find MN if BC = 35 m.
![](data:image/png;base64,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)
MN is the midsegment of △ ABC.
Find MN if BC = 35 m.
![](data:image/png;base64,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)
Maths-General
Maths-
MN is the midsegment of △ ABC.
Find BC if MN = 17 cm.
![](data:image/png;base64,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)
MN is the midsegment of △ ABC.
Find BC if MN = 17 cm.
![](data:image/png;base64,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)
Maths-General
Maths-
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)
In the figure above, RT = TU. What is the value of x?
![](data:image/png;base64,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)
In the figure above, RT = TU. What is the value of x?
Maths-General
Maths-
For the graph below , write an inequality and explain the reasoning :
![](data:image/png;base64,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)
Note:
We do not use < or > for infinity in inequalities, since the variable extends to infinite and has no real fixed value.
For the graph below , write an inequality and explain the reasoning :
![](data:image/png;base64,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)
Maths-General
Note:
We do not use < or > for infinity in inequalities, since the variable extends to infinite and has no real fixed value.