Question

What is the value of x? Enter your answer in the box.

Answer 1

Answer:

x = 7

Step-by-step explanation:

The whole triangle and the small triangle are similar. Therefore the sides are in proportion.

We have the equation:

$\dfrac{(2x+10)+3}{40+5}=\dfrac{3}{5}\\\\\dfrac{2x+13}{45}=\dfrac{3}{5}\qquad\text{cross multiply}\\\\5(2x+13)=(45)(3)\qquad\text{divide both sides by 5}\\\\2x+13=(9)(3)\\\\2x+13=27\qquad\text{subtract 13 from both sides}\\\\2x=14\qquad\text{divide both sides by 2}\\\\\boxed{x=7}$

Answer 2

Answer:

The value of x is 7

Step-by-step explanation:

In order to find this, we must create a proportion using the smaller triangle (right/left) and then the whole triangle (right/left)

5/3 = 45/2x+13

Now cross multiply to solve

5(2x + 13) = 45*3

10x + 65 = 135

10x =- 70

x = 7