Question

What is the value of x?



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Answer 1

Answer:
`x=25`

Explanation:

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

`(BQ+QD)/(QD)=(RC+CD)/(CD)\\\\(24+40)/(40)=(15+x)/(x)`

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

Therefore, its value is the following:

`1.6=(15+x)/(x)\\\\1.6x=x+15\\\\1.6x-x=15\\\\0.6x=15\\\\x=(15)/(0.6)\\\\x=25`

Answer 2

x = 25

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

!!