Question

Given the expressions XY = 8x - 5, YZ = 4x + 7, and XZ = 34, what value of x makes XY and YZ congruent?

a) 3
b) 5
c) 8
d) 10

Answer 1

To make XY and YZ congruent, the value of x that makes the two expressions equal is 3.

Step-by-step explanation:

To make XY and YZ congruent, we need to find the value of x that makes the two expressions equal.

Given that XY = 8x - 5 and YZ = 4x + 7, we can set them equal to each other:

8x - 5 = 4x + 7

Simplifying the equation:

8x - 4x = 7 + 5

4x = 12

Dividing both sides by 4:

x = 3

Therefore, the value of x that makes XY and YZ congruent is 3.