Answer:
C. 
Step-by-step explanation:
When two polygons are considered similar, the ratio of their corresponding sides would also be equal.
Since ∆ABC and ∆ADE are similar, 

Cross multiply


Divide both sides by 7 to find AB



Answer:
1/2 + 3i is the midpoint between -2-3i and 3+9i.
Step-by-step explanation:
Given the complex number
The formula to find the midpoint of two complex number (a + bi) and (c + di) is:





Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.
The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.
So, we can make the equation
. We need to find b, and put b in.
To find b, put in the numbers of y and x.

Solve for b:

Now replace b in the original equation with 12 and that will be the answer:
The answer is
.
It is 4 because the diameter is twice longer than the radius!
Answer:
7/25
Step-by-step explanation:
First we need to determine how many total marbles
9blue+7red+4green+5purple = 25 marbles
P(red) = red/total
= 7/25