What is the value of x? _____ Units

Question

asked Sep 8, 2021 166k views

1 Answer

Thomas Mueller · Answer 1 · 2021-09-15T05:48:02+0000

Answer:

x=25

Explanation:

The line QC makes:

$\triangle DQC\sim\triangle DBR$

Using the property of similar triangles:

$(DQ)/(BD) =(DC)/(DR) \\\\(40)/(40+24) =(x)/(x+15)\\$

Using cross multiplication method:

$40(x+15)=x(40+24)\\\\40(x+15)=x(64)\\\\40(x)+40(15)=64x\\\\40x+600=64x$

Subtracting '
40x ' both the sides:

$64x-40x=600\\\\24x=600$

Dividing by '24' both sides:

$x=(600)/(24) \\\\x=25$

The value of 'x' in the figure is :
x=25