Answer:
Step-by-step explanation:
Comment and answer
ABC is similar to XBY The triangles are similar because
- B is a common angle to both
- <A = <BXY AB is a transversal cutting 2 parallel lines
- <C = <BYX BC is a transversal cutting 2 parallel lines
BX = 2 Given
XA = 3 Given
BY = 3 Given
YC = x Object of question
BX/(BX + XA) = BY / (BY + YC) Parts of two similar triangles
2/(2 + 3) = 3/(3+ x) Combine the left
2/5 = 3/(3 + x) Cross Multiply
2*(3 + x) = 3*5 Remove the brackets
6 + 2x = 15 Subtract 6 from both sides
6-6+2x = 15 - 6 Combine
2x = 9 Divide by 2
2x/2 = 9/2
x = 4.5
Answer
x = 4.5 or D
