Question

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

Answer 1

Answer:

x = 25

Step-by-step explanation:

Step 1: Identify the similar triangles

Triangle DQC and triangle DBR are similar

Step 2: Identify the parallel lines

QC is parallel to BR

Step 3: Find x

DQ/QB = DC/CR

40/24 = x/15

x = 25

!!

Answer 2

Answer: $x=25$

Step-by-step explanation:

In order to calculate the value of "x", you can set up de following proportion:

$\frac{BQ+QD}{QD}=\frac{RC+CD}{CD}\\\\\frac{24+40}{40}=\frac{15+x}{x}$

Now, the final step is to solve for "x" to find its value.

Therefore, its value is the following:

$1.6=\frac{15+x}{x}\\\\1.6x=x+15\\\\1.6x-x=15\\\\0.6x=15\\\\x=\frac{15}{0.6}\\\\x=25$