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2 years ago

Given the diagram below if the measure of <1 is 36° what is the

Mathematics

1 answer:

mina [271]2 years ago

7 0

Answer:

144

Step-by-step explanation:

Because the horizontal lines are parallel <7 is the same as <4. Because <1 and <7 are on a straight line they must add up to 180. <7 + 36 = 180 so <7=144 so <1 is also 144.

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I need to find and write the equation for the problem.

Julli [10]

0.8p - 50 < = 150
0.8p < = 150 + 50
0.8p < = 200
p < = 200/0.8
p < = 250

the reason I set it up this way is because when it is 20% off, u r actually paying 80% of the original price (p)....80% of the original price is written as 0.8p...then u subtract ur 50 dollar discount coupon...- 50.....and if all she can spend is 150....it would be less then or equal to 150. So the most she can spend on the phone is 250

7 0

2 years ago

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Tiffiny ate 1 slice of cake. Omer ate 2 slices. If Tiffiny ate 1/5 of the cake and all the slices were the same size, what fract

Nutka1998 [239]

2/5 of the cake are left. Tiffany ate 1/5 and Omer ate 2x the amount, which is 2/5.

3 0

3 years ago

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Find the measure of the exterior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon,

musickatia [10]

Answer:

Triangle: 120

Quadrilateral: 90

Pentagon: 72

Octagon: 45

Decagon: 36

30-gon: 10

50-gon: 7.2

100-gon: 3.6

Step-by-step explanation:

360/n = the measure on the exterior angle

n = the number of sides

6 0

2 years ago

A bowl contains blueberries and strawberries. There are a total of 16 berries in the bowl. The ratio of blueberries to strawberr

Romashka-Z-Leto [24]

Answer:

21 I believe

Step-by-step explanation:

3 x 5 = 15

15 + 1 = 16

because its one for every three blueberry then there are 5 strawberries and 16 blueberries so 5 + 16 = 21

3 0

2 years ago

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The exterior walls and roof of a barn are to be painted. The barn is in the shape of a rectangular prism, with an isosceles tria

vlada-n [284]

Given:

The rectangular prism has a length of 25 feet, a width of 10 feet and a height 55 feet.

The triangular prism has a base length of 25 feet, a height of 8 feet, and a prism height of 55 feet.

To find:

The total area to be painted.

Solution:

There are 4 external surfaces for the rectangular prism and 4 external surfaces for the triangular prism.

The rectangular prism has 4 rectangles out which there are 2 sets of similar rectangles.

There are two rectangles with lengths of 25 feet and widths of 10 feet while the other two rectangles have lengths of 55 feet and widths of 10 feet.

The area of a rectangle with a length of 25 feet and a width of 10 feet $= 25(10)= 250$ square ft.

The area of two such rectangles $= 2(250) = 500$ square feet.

The area of a rectangle with a length of 55 feet and a width of 10 feet $= 55(10)= 550$ square feet.

The area of two such rectangles $= 2(550) = 1100$ square feet.

The triangular prism has 2 triangles and 2 rectangles.

The triangles have base lengths of 25 feet and heights of 8 feet while the rectangles have lengths of 55 feet and heights of 14.8 feet.

The area of a triangle with a base length of 25 feet and a height of 8 feet $= \frac{1}{2}(25)(8)= 100$ square feet.

The area of two such triangles $=2(100)= 200$ square feet.

The area of a rectangle with a length of 55 feet and a width of 14.8 feet $= 55(14.8)= 814$ square feet.

The area of two such rectangles $= 2(814) = 1628$ square feet.

The total area to be painted $=500+1100+200+1628 = 3128$ square feet.

So an area of 3128 square feet is to be painted.

8 0

3 years ago