Question

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

Answer 1

Answer:

x = 27

Step-by-step explanation:

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

The sides are in proportion:

$\dfrac{BD}{QD}=\dfrac{RD}{CD}$

We have

BD = 26 + 39 = 65

QD = 39

RD = 18 + x

CD = x

Substitute:

$\dfrac{65}{39}=\dfrac{18+x}{x}$          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

$\boxed{x=27}$