Question

Answer please struggling

Answer 1

x ≈ 28.2

Explanation:

Δ CAB ≅ Δ CDE then corresponding sides are in proportion, that is

`(CA)/(CD)` =
`(CB)/(CE)` , substitute values

`(14+x)/(x)` =
`(18.7+9.3)/(18.7)` =
`(28)/(18.7)` ( cross- multiply )

28x = 18.7(14 + x) ← distribute

28x = 261.8 + 18.7x ( subtract 18.7x from both sides )

9.3x = 261.8 ( divide both sides by 9.3 )

x ≈ 28.2 (to the nearest tenth )