Question

What is the Value of E

Answer 1

Answer:

e = 1.75

Step-by-step explanation:

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

Answer 2

Answer:  1.75

Step-by-step 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