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Svetradugi [14.3K]
11 months ago
7

I need help with this. A picture for #8 is above.

Mathematics
1 answer:
Sonja [21]11 months ago
8 0

Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.

This also means that the angle P' (the one inside the quadrilateral) is equal to:

180-\measuredangle B

Now, if we extend the sides DP and CB we notice that the angles P' and Q

are equal

The only way that this angles can be equal is if the line segments DP and CB are parallel, this comes from the fact that two alternate interior angles are equal if and only if the lines are parallel.

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A circular dance stage has a perimeter of 28(3.14) feet. What is the area, in square feet, of this dance stage?
tiny-mole [99]
The perimeter (circumference) = 28 * PI.
This means the diameter = 28.
The area = PI*radius^2
area = PI * 14^2
area = PI * <span> <span> <span> 196 </span> </span> </span>
area = <span> <span> <span> 615.7521601036 </span> </span> </span> square feet


4 0
3 years ago
There are 12 bags in a box of popcorn that cost $8.25. Find the unit rate for ONE bag of popcorn. Round to the hundredths place.
goldfiish [28.3K]

Answer:

$0.69 for each bag

Step-by-step explanation:

Since you have 12 bags for $8.25, that means you need to divide the price by the number of bags to get the price of each:

\frac{8.25}{12}  = 0.6875

You then need to round to the nearest hundredths.  Since the number after the hundredths place is a 7, which is greater than or equal to 5, you need to add 1 to the hundredths place making the final answer $0.69

7 0
3 years ago
If rain falls at a unit rate of 3 inches per hour, how much rain will accumulate after 24 hours?
natta225 [31]

Answer:

The answer is 72 inches in 24 hours.

Step-by-step explanation:

If 3 inches tall per hour, and you need to find the amount of rain in 24 hours, you just need to multiply the number of inches per hour by the number of hours required (24 hours):

3×24=72 inches

6 0
3 years ago
Read 2 more answers
the providence children muesuem installed a fence around the perimeter of the propety. the propety is a rectangle. one side is 3
mash [69]
Its a rectangle so two sides are equal and both sides that are opposite of each other are equal. So two sides are 37. Then you add them together to get 74, then subtract it from 164 to get 90 the rest of the fence length. Then divide it by two to get 45 which is the other side lengths, so it would be a 37 by 45 rectangle one side would be 37 while the other two are 45.
7 0
3 years ago
The mean of four numbers is 7. Three of the numbers are 5,7 and 7. What is the fourth number?
Marrrta [24]

Answer:

fourth number is 9

Step-by-step explanation:

let 'x' equal the fourth number

(5+7+7+x)/4 = 7

cross-multiply to get:

19 + x = 28

x = 9

5 0
2 years ago
Read 2 more answers
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