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2 years ago

What is the measure of each interior angle of a regular 15-gon?

Mathematics

1 answer:

Romashka [77]2 years ago

5 0

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees

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a local hamburger shop sold a combined total of 637 hamburgers and cheeseburgers on Tuesday.There were 63 fewer cheese burger so

EastWind [94]

Answer:

574

Step-by-step explanation:

All your doing is subtracting!

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2 years ago

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A 24 inch board is cut into 3 pieces so that the second piece is twice as long as the first and the third is 3 times as long as

Lady_Fox [76]

Answer:

The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4 length of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

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2 years ago

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Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)

PSYCHO15rus [73]

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

$\frac{y2-y1}{x2-x1}$

Plug in the information needed.

$\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}$

The slope is $\frac{1}{2}$ .

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

5 0

1 year ago

A right triangle has a leg b of length 7 and a hypotenuse of length 11 what is the length of the other leg a?

N76 [4]

A^2 + b^2 = c^2
a^2 + 7^2 = 11^2
49= 121
121 - 49 = 72

Square root(72) = 8.49
or you can just keep the square root symbol with 72 under it

6 0

3 years ago

Calculate the area of the shaded sector in the circle

scZoUnD [109]

Answer:

area ≈ 6.3 units²

Step-by-step explanation:

Calculate the area (A ) of the sector as

A = area of circle × fraction of circle

= πr² × $\frac{45}{360}$

= π × 4² × $\frac{1}{8}$

= 16π × $\frac{1}{8}$ ← cancel 8 and 16 by 8, leaving

A = 2π ≈ 6.3 units² ( to 1 dec. place )

5 0

2 years ago