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laiz [17]
3 years ago
7

Find the measure of each exterior angle of a regular 56-gon.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0
The answer is 6 degree.

Step by step process

The formula for calculating the measure of each exterior angle of a polygon is (360/n).

The number of sides of 56-gon(n) = 56.


So, each exterior angle
= (360/56)
= 6.43 or
6(approximately)
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The measure of angle BFE is 120°. Find M angle EFD.
Varvara68 [4.7K]
120 + 120 + X + X = 360
240 + 2X = 360
2X = 120
X = 60
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3 years ago
A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
LuckyWell [14K]

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0
3 years ago
Read 2 more answers
15 pts the cost of 5 cartons of fresh ice cream is $8.75 what is the cost of 11 such cartons
Morgarella [4.7K]

Answer:

C ($19.25)

Step-by-step explanation:

First, find how much 1 carton costs, which is $8.75 divided by 5, which is $1.75. So, to find how much 11 cartons cost, we just multiply by 11 to get [tex]\boxed{\$19.25}[\tex]

5 0
3 years ago
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Hal says the volume of the sphere shown below 36 cm3. Find the correct volume, using 3.14 for pi. Round to the nearest hundredth
adelina 88 [10]

Answer:

Volume of sphere is 35.98cm^3

Step-by-step explanation:

It is given that Hal says that volume of sphere is 36cm^3

Volume of sphere is given by V=\frac{4}{3}\pi r^3

\frac{4}{3}\pi r^3=36

\pi r^3=27

r^3=8.594

r=2.048cm

Now using 3.14 in place of \pi

Now volume of sphere is

V=\frac{4}{3}\times 3.14\times 2.048^3

V=35.98cm^3

Therefore volume of sphere when we use 3.14 in place of \pi is 35.98cm^3

And the Hal likely error is he uses \pi directly for calculation of volume.

7 0
3 years ago
What is the value of 5/6 divided by 3/7
vaieri [72.5K]
The answer is 35/18 because you flip 3/7 and multiply it by 5/6
4 0
3 years ago
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