Please answer this correctly

Mathematics

1 answer:

MrMuchimi3 years ago

3 0

Answer:

11 pt

Step-by-step explanation:

There are 2 pints in one quart. This means that there are 10 pints in 5 quarts, plus 1 would be 11.

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How long a rope is required to reach from the top of a building 40 feet high 30 feet from the base of the building?

Goshia [24]

70 feet.
If you're 30 feet from the base, then you have to climb that 30 feet, plus the 40 foot length of that building. (:

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3 years ago

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3 years ago

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°

Vinvika [58]

The complete question is shown in the attached image

Answer:
measure angle H = 42°

Explanation:
There is a theorem that states that:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In the given, we have:
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

Based on the above rule:
measure angle E = measure angle D + measure angle H

We are given that:
angle E = 87°
angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°

Hope this helps :)

3 0

3 years ago

A rectangle has perimeter 182 in. and length 52 in. What is the width

Degger [83]

Answer:

the width is 3.5 in.

Step-by-step explanation:

u get it by dividing 182 in and 52 in and u get 3.5 In

4 0

3 years ago

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Which points are on the perpendicular bisector of the given segment? Check all that apply. Please explain how you got your answe

ser-zykov [4K]

First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)

now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.

try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.

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3 years ago

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