Maths-

General

Easy

Question

# Find the value of x if the vertical lines of the letter H are parallel.

Hint:

### Use the property of parallel lines angle rules.

## The correct answer is: Hence the value of x=85°.

### Complete step by step solution:

Here we have 2 parallel lines m and land a transversal intersecting these parallel

lines.

Now, (alternate interior angles)

Hence the value of .

Here we have 2 parallel lines m and land a transversal intersecting these parallel

lines.

Now, (alternate interior angles)

Hence the value of .

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### The midpoint of 𝑋𝑌 is M (8, 10). One endpoint is Y (1, 2). Find the coordinates of endpoint Y.

### The midpoint of 𝑋𝑌 is M (8, 10). One endpoint is Y (1, 2). Find the coordinates of endpoint Y.

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### Solve System of equations using Substitution :

Y = 6X + 7

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### x and y are complementary angles and y and z are

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### The weight of the water exerts pressure on a diver. At a depth of 10 feet, the water pressure is 19.1 pounds per square inch and at a depth of 14 feet, the water pressure is 20.9 psi.

Complete the statements and sketch the qualitative graph of this function.

The input or X- Variable is ……………..

The output or Y- Variable is………….

### The weight of the water exerts pressure on a diver. At a depth of 10 feet, the water pressure is 19.1 pounds per square inch and at a depth of 14 feet, the water pressure is 20.9 psi.

Complete the statements and sketch the qualitative graph of this function.

The input or X- Variable is ……………..

The output or Y- Variable is………….

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### Solve the system of equations by elimination :

10X + 6Y = 38

10X + 20Y = 100

### Solve the system of equations by elimination :

10X + 6Y = 38

10X + 20Y = 100

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2X - 3Y = 6

Y = X - 2

### Use Substitution to solve each system of equations :

2X - 3Y = 6

Y = X - 2

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### Use Substitution to solve each system of equations :

4X + 8Y = -8

X = -2Y + 1

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4X + 8Y = -8

X = -2Y + 1

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### Solve the system of equations by elimination :

5X + 3Y = 19

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### Solve the following by using the method of substitution

Y= 5-2X

Y=

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X + 2Y = -10

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### A Scuba diver starts a dive with a full tank of oxygen. While diving, She breathes at a constant rate. She checks the gauge after 22 minutes. What does a graph of the function look like ?

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