Line XY bisects segment RS at E. If segment RE = x + 15 and SE = 2x - 8, find the value of x.

Mathematics

1 answer:

tatyana61 [14]4 years ago

3 0

Answer:

x = 23

Step-by-step explanation:

Segment bisector, XY, divides segment RS into two equal parts, RE and SE. Therefore, it follows that, RE and SE are congruent.

RE = x + 15

SE = 2x - 8,

To find the value of x, set RE equal to SE to get an equation.

Thus:

x + 15 = 2x - 8

Collect like terms

x - 2x = -15 - 8

-x = -23

Divide both sides by -1

x = 23

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