<h3>
Answer:</h3>
33
<h3>
Step-by-step explanation:</h3>
Vocabulary
Before going into an explanation, let's go over some important vocabulary.
- Collinear - Collinear describes points that are on the same line. This means that there is 1 line with the 3 points L, M, and N.
- Segment addition postulate - The segment addition postulate states that if there are 2 collinear points (A and C) with another point in between them (B), then the statement AB + BC = AC must be true.
Solving for MN
Using the postulate above we can make a new equation. First, let's set up an equation that mirrors the postulate.
Now, let's plug in the values we know.
Then, solve.
This proves that a possible value of MN is 33.
<h3>
Answer: Choice B. x = 4 and x = 3</h3>
Work Shown:
x^2 - 7x = -12
x^2 - 7x + 12 = 0
(x - 3)(x - 4) = 0 ... see note below
x - 3 = 0 or x - 4 = 0
x = 3 or x = 4
Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.
64/16=4 area is length times width so 64 divided to 16 equals 4.
