Answer:
x = 9.8
Step-by-step explanation:
Given that triangle QRS is similar to triangle DEF.
Hence, the ratio of corresponding sides of these triangles are equal.
Thus, we have
[tex]\frac{QR}{DE}=\frac{RT}{EB}[/tex]
Substituting the known values from the given figure
[tex]\frac{26}{40}=\frac{2x-4}{24}[/tex]
Cross multiplying, we get
[tex]40(2x-4)=26\cdot24\\\\80x-160=624\\\\80x=784\\\\x=\frac{784}{80}\\\\x=9.8[/tex]
The value of x is 9.8
