9514 1404 393
Answer:
∠K = ∠M = 55°
Step-by-step explanation:
The two marked angles are opposite the sides marked as congruent. That means the angles are congruent, so we have ...
4x -1 = 2x +27
2x = 28 . . . . . . . . add 1-2x to both sides
x = 14
4x -1 = 4(14) -1 = 55
The measures of the angles are ...
∠K = ∠M = 55°
D) 60%. an easy way to do this would be to multiply the denominator and the numerator by the same thing to make the denominator equal 100, and the numerator is the percent. For example, this question, how many time can 5 go into 100? 20 times. multiply 20 by 3, because what you do to the denominator you have to do to the numerator; so 20 x 3 = 60, 60%.
3/8, multiply by 12.5, since 8 goes into a hundred 12.5 times, to get 8 x 12.5 = 100 and 3 x 12.5 = 37.5, 37.5%
48 times he will need to fill the pint container.
Answer:
125.25 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...
Tan = Opposite/Adjacent
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Solving for the Opposite side (the height of the balloon), we find ...
Opposite = Adjacent · Tan
height = (310 ft)·tan(22°) ≈ 125.25 ft
Enola's balloon is about 125.25 ft above the ground.
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<em>Additional comment</em>
If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).
Answer:
3
Step-by-step explanation:
just did it