If QR is a median, then:

We have NO = 30, MP = 9x - 42 and QR = x + 15. Substitute:

<h3>Answer: A. 6</h3>
Answer:

Step-by-step explanation:
All you have to di is subtract the exponents.
You don't say whether this is a right triangle or not.
Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:
(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.
This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.
Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.
By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.
Pattern P:
40, 38, 36, 34, 32, 30, …
Pattern Q:
40, 36, 32, 28, 24, 20, …
(absolute) Differences in corresponding terms:
0, 2, 4, 6, 8, 10, …
and these differences agree with the last statement.
Hey there! :)
6n + 12 = 6
Isolate our given variable.
We can do this by subtracting both sides by 12.
6n + 12 - 12 = 6 - 12
Simplify.
6n = -6
Divide both sides by 6.
6n ÷ 6 = -6 ÷ 6
Simplify.
n = -1
~Hope I helped!~