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trasher [3.6K]
3 years ago
15

What value of (n) makes the equation true ? -2(n)+1.8=3.2 A. -0.7 B. 0.7 C. -3.4 D -2.5

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0
The answer is A -0.7
-2(n) + 1.8 simplifies to:
-2n + 1.8 = 3.2
       - 1.8    -1.8
-2n = 1.4
n = -7
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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.


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