Given that ae∥bd, identify the length of ac.

Explanation:

x = length of BC

AC = AB+BC

AC = 6 + x

CE = CD+DE

CE = 22+8

CE = 30

Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)

Therefore the corresponding sides are proportional letting us set up the proportion below

AC/BC = CE/CD

(6+x)/x = 30/22 substitution

22(6+x) = 30x ... cross multiply

132+22x = 30x

132 = 30x-22x subtract 22x from both sides

132 = 8x

8x = 132

x = 132/8 divide both sides by 8

x = 16.5

Now use this to find the length of AC

AC = 6+x

AC = 6+16.5

AC = 22.5

point a is the center of this circle.

the ratio of the lengths of (ef/bc) and (ad/ih) is 2: 1.

step-by-step explanation:

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.