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olganol [36]
3 years ago
13

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

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

<h2>x = 27</h2>

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}          <em>cross multiply</em>

65x=39(18+x)      <em>use distributive property</em>

65x=(39)(18)+39x              <em>subtract 39x from both sides</em>

26x=702            <em>divide both sides by 26</em>

\boxed{x=27}

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