Answer:
39
Step-by-step explanation:
We have two similar trapezoid.
Their corresponding sides must be in the same proportion.
[tex]\frac{100}{40}=\frac{q+26}{26}[/tex]
Reduce the LHS
[tex]\frac{5}{2}=\frac{q+26}{26}[/tex]
Multiply both sides by 26:
[tex]26*\frac{5}{2}=q+26[/tex]
[tex]65=q+26[/tex]
Solve for q;
[tex]q=65-26=39[/tex]
The first choice is correct
