CD and EF are parrellel to AB. They divide the area of triangle PAB into three equal parts. If PE=1, what is AC?

AC is approximately 0.3178

Step-by-step explanation:

The given parameters are;

In ΔPAB

CD ║ EF ║ AB

The area of triangle ΔPEF = 1/3 × area of triangle ΔPAB

Therefore, PE = 1/√3·PA

PA = √3

We have area of ΔPCD = 2/3 × area of triangle ΔPAB

∴ PC = √(2/3) × PA = √(2/3) × √3

PC = √2

Therefore, AC = PA - PC = √3 - √2

AC = √3 - √2 ≈ 0.3178

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney