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