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monitta
3 years ago
12

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

Mathematics
2 answers:
hichkok12 [17]3 years ago
8 0

Answer:

x = 25

Step-by-step explanation:

<em>Step 1: Identify the similar triangles</em>

Triangle DQC and triangle DBR are similar

<em>Step 2: Identify the parallel lines</em>

QC is parallel to BR

<em>Step 3: Find x</em>

DQ/QB = DC/CR

40/24 = x/15

x = 25

!!

Sever21 [200]3 years ago
8 0

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

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