Answer :
Answer:
b
Step-by-step explanation:
a segment joining the midpoints of two sides of a triangle ( midsegment ) is half the length of the third side.
PQ is a midsegment of the triangle , then
PQ = [tex]\frac{1}{2}[/tex] RT , that is
15x - 17 = [tex]\frac{1}{2}[/tex] (23x - 6) ← multiply both sides by 2 to clear the fraction
30x - 34 = 23x - 6 ( subtract 23x from both sides )
7x - 34 = - 6 ( add 34 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Then
RT = 23x - 6 = 23(4) - 6 = 92 - 6 = 86
