Question

If XY = 5x-3 and XZ=44, find x and the value of YZ

Answer 1

The midpoint of a line divides the line into equal halves.

• The value of x is 5
• The value of YZ is 22

Given that:

$XY = 5x -3$

$XZ = 44$

Y is the midpoint of XZ. So:

$XZ = 2 \times XY$

$44 = (5x - 3 ) \times 2$

$44 = 10x - 6$

Collect like terms

$10x = 44 +6$

$10x = 50$

Divide both sides by 10

$x = 5$

Recall that: Y is the midpoint of XZ

This means that:

$YZ = \frac12 XZ$

$YZ = \frac12 \times 44$

$YZ = 22$

Hence, the value of x is 5 and YZ is 22

Read more about midpoints at:

brainly.com/question/2441957