Question

4 cm

Answer 1

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