Question

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

Answer 1

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