Answer:
The measure of the larger angle is (7 x + 23) = 51°
Step-by-step explanation:
Two angles A and B are said to be <u>complimentary angles</u> if and only if their measure adds up to 90°.
⇒ ∠A + ∠B = 90°.
So, here given (7 x+23)and (3 x+27) are complimentary.
⇒ (7 x+23) + (3 x+27) = 90°
or, 10 x + 50 = 90°
⇒ 10 x = 90° - 50 = 40°
or, x = 40/ 10 = 4°
So, the first angle = (7 x+23) = 7 (4) + 23 = 51°
and the second angle is (3 x+27) = 3(4) + 27 = 39°
Hence, the measure of the larger angle is (7 x + 23) = 51°
Answer:
The height of the tree is 18 feet tall
Step-by-step explanation:
Set up a proportion:
6 feet over 11 feet long equals x feet over 33 feet long
6/11 = x/33
198 = 11x
x = 18
The height of the tree is 18 feet tall
Step-by-step explanation:
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Answer:
x^2 +4
Step-by-step explanation:
It is perhaps easiest to simply try the answers to see what works. x=1 corresponds to the first term, so the different answer choices will give that value as ...
3x² +4 = 3 +4 = 7
x² +4x = 1 + 4 = 5 . . . . possible solution
x² +4 = 1 +4 = 5 . . . . possible solution
x² +5 = 1 +5 = 6
Then for x=2, we want the result to be 8. The two choices we've identified so far give ...
x² +4x = 2² +4·2 = 12
x² +4 = 2² +4 = 8 . . . . . this is the solution