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 $4x + 20$ and set that expression equal to the midsegment:

2x + 10 = 3x

-2x - 2x

____________

$10 = x$

You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.

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4 0

3 years ago

Find the value of A that makes the following equation true for all values of x. (1/7)^x = A^-9x.

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

(1/7)^(x)=A^(-9x)

(1/7)^(x)=(A^(-9))^x

A^(-9)=1/7

A=(1/7)^9

3 0

2 years ago