Question

What is the value of x

Answer 1

x = 5

Explanation:

Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is

`(AB)/(DC)` =
`(EA)/(ED)` , substitute values

`(10)/(4)` =
`(2x+10)/(x+3)` ( cross- multiply )

10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides

10x + 30 = 8x + 40 ( subtract 8x from both sides )

2x + 30 = 40 ( subtract 30 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5