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velikii [3]
3 years ago
11

What is the value of x? enter your answer into the box.

Mathematics
1 answer:
poizon [28]3 years ago
6 0

Answer:

x = 27

Step-by-step explanation:

ΔBRD and ΔQCD are similar, hence the ratios of corresponding sides are equal, that is

\frac{BD}{QD} = \frac{RD}{CD}

note that BD = 26 + 39 = 65

substitute values into the ratio equation

\frac{65}{39} = \frac{x+18}{x} ( cross- multiply )

65x = 39(x + 18)

65x = 39x + 702 ( subtract 39x from both sides )

26x = 702 ( divide both sides by 26 )

x = 27


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