Question

What is the Value of E

Answer 1

Answer: 1.75

Explanation:

p:e=t:a

3.5:e=4.25:2.125

3.5*2.125=e*4.25

2.125*3.5/4.25=e

e=1.75

Answer 2

e = 1.75

Explanation:

`\text{If}\ \Delta TOP\sim\Delta ACE,\ \text{then corresponding sides are in proportion.}\\\\(TO)/(AC)=(OP)/(CE)\\\\TO=p=3.5\\AC=e\\OP=t=4.25\\CE=a=2.125\\\\\text{Substitute:}\\\\(3.5)/(e)=(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=(7.4375)/(4.25)\\\\e=1.75`