What is the value of x?
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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: [tex]x=25[/tex]
Step-by-step explanation:
In order to calculate the value of "x", you can set up de following proportion:
[tex]\frac{BQ+QD}{QD}=\frac{RC+CD}{CD}\\\\\frac{24+40}{40}=\frac{15+x}{x}[/tex]
Now, the final step is to solve for "x" to find its value.
Therefore, its value is the following:
[tex]1.6=\frac{15+x}{x}\\\\1.6x=x+15\\\\1.6x-x=15\\\\0.6x=15\\\\x=\frac{15}{0.6}\\\\x=25[/tex]