Question

Please help!! what is the value of x? enter your answer

Answer 1

x = 27

Explanation:

BR is parallel to QC therefore ΔBDR and ΔQDC are similar.

The sides are in proportion:

`(BD)/(QD)=(RD)/(CD)`

We have

BD = 26 + 39 = 65

QD = 39

RD = 18 + x

CD = x

Substitute:

`(65)/(39)=(18+x)/(x)` cross multiply

`65x=39(18+x)` use distributive property

`65x=(39)(18)+39x` subtract 39x from both sides

`26x=702` divide both sides by 26

`\boxed{x=27}`