Answer:4m(2m+1)
Step-by-step explanation:
9514 1404 393
Answer:
∠7 = 51°
∠8 = 129°
Step-by-step explanation:
All of the obtuse angles are congruent, as are all of the acute angles. The acute and obtuse angles are supplementary.
∠8 = ∠1 = 129°
∠7 = 180° -129° = 51°
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<em>Additional comment</em>
Technically, angles 1 and 8 are called "alternate exterior angles." As such, they are congruent. Angles 7 and 8 form a "linear pair." As such, they are supplementary.
Given:
The side lengths of two cubes are 12 ft and 6 ft.
To find:
The side length of third cube.
Solution:
From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the hypotenuse.
Let x be the side length of the third cube.
Using Pythagoras theorem, we get




Taking square root on both sides, we get


Side cannot be negative. So,

Therefore, the side length of the third cube is
ft.
6+1/3+5/8
6+1x8/3x8+5x3/8x3
6+8/24+15/24
6+8+15/24
6 23/24
Answer: 6 23/24