Question

Use the diagram below to find x.

a) 4/15
b) 15/4
c) 4
d) 18/4

Answer 1

Option (b)
`x = (15)/(4)`

Explanation:

Using the property SSS

`(6)/(6+x) =(8)/(8+5)`

⇔
`(6)/(6+x) =(8)/(13)`

⇔8(6+x) = 6 × 13

⇔48 + 8x =78

⇔ 8x = 78 - 48

⇔ 8x = 30

⇔x =
`(30)/(8)`

⇔
`x = (15)/(4)`