Answer:
RS = XY (since the two a triangles are similar, you have to match the sides up and then set the values equal to eachother to find the value of x)
3x +2 = 5x -3 (subtract 5x from both sides)
-2x +2 = -3 (subtract 2 from both sides)
-2x = -5 (divide both sides by -2 to isolate x)
x = 2.5 (take the value of x and plug it into the expression given for RS)
3(2.5) +2 (multiply)
7.5 +2 (add)
9.5 (this is the length of RS)
Step-by-step explanation:
I hope this helps :)
