Answer:
e = 1.75
Step-by-step explanation:
[tex]\text{If}\ \Delta TOP\sim\Delta ACE,\ \text{then corresponding sides are in proportion.}\\\\\dfrac{TO}{AC}=\dfrac{OP}{CE}\\\\TO=p=3.5\\AC=e\\OP=t=4.25\\CE=a=2.125\\\\\text{Substitute:}\\\\\dfrac{3.5}{e}=\dfrac{4.25}{2.125}\qquad\text{cross multiply}\\\\4.25e=(3.5)(2.125)\\\\4.25e=7.4375\qquad\text{divide both sides by 4.25}\\\\e=\dfrac{7.4375}{4.25}\\\\e=1.75[/tex]
