Find the length of the midsegment. the diagram is not to scale.

a. 24
b. 0
c. 42
d. 84

C.

Step-by-step explanation:

This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of and set that expression equal to the midsegment:

4x + 2 = 2x + 22

-4x - 4x

____________

2 = −2x + 22

-22 - 22

___________

You then plug this back into both expressions above to get the double-segment of 84 and the mid-segment of 42. We can tell this is correct because 42 and 84 are relatively proportional to each other.

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3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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