Answer: 8n
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Explanation:
The two sides 4n+5 and 5n+6 have the terms 4n and 5n which add to 9n. We need 8n to add onto this so that we end up with 17n. In other words, 4n+5n+8n = 9n+8n = 17n
So that is why the answer is 8n. We don't have anything added or subtracted to it because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) add up to 5+6 = 11 which is what we want in the perimeter expression 17n+11
Side 1 = 4n+5
Side 2 = 5n+6
Side 3 = 8n
Perimeter = (side1) + (side2) + (side3)
Perimeter = (4n+5) + (5n+6) + (8n)
Perimeter = 4n+5 + 5n+6 + 8n
Perimeter = (4n+5n+8n) + (5+6)
Perimeter = 17n+11
So that confirms we have the proper expression for the third missing side.
Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?
Keywords
complementary angles, right angle
we know that
If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>
In this problem
-------> by <u>complementary angles</u>
we have

Substitute and solve for Angle TSU

therefore
the answer is the option
