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3 years ago

If an exterior angle of a regular polygon is 21.2° how many sides does the polygon have?

1 answer:

8 0

$\bf \textit{sum of all exterior angles in a polygon}\\\\
n\theta =360\quad 
\begin{cases}
n=\textit{number of sides}\\
\theta =\textit{angle in degrees}\\
----------\\
\theta =21.2^o
\end{cases}\implies n21.2=360
\\\\\\
n=\cfrac{360}{21.2}\implies n\approx 16.981132\implies n\approx 17$

the reason why the value is not an integer, is most likely because the 21.2° is just an approximation.

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Provide a solution for the following equation: 3x + 2y=4

shtirl [24]

Answer:

One solution is to find x and y by doing the following:

Step-by-step explanation:

Let's solve for x.

3x+2y=4

Step 1: Add -2y to both sides.

3x+2y+−2y=4+−2y

3x=−2y+4

Step 2: Divide both sides by 3.

x=-2/3y+4/3

Lets solve for y.

3x+2y=4

Step 1: Add -3x to both sides.

3x+2y+−3x=4+−3x

2y=−3x+4

Step 2: Divide both sides by 2.

y= -3/2x+2

7 0

3 years ago

I’ve never been so confused, this is due in a few minutes, pls help if you can!

algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

$$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))$

$$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))$

Multiply by 2 on both sides.

$$\Rightarrow 2 \times 54 = 2 \times \frac{1}{2} (220- m \ ar (RS ))$

$$\Rightarrow 108= 220- m \ ar (RS )$

Subtract 220 from both sides.

$$\Rightarrow 108-220= 220- m \ ar (RS )-220$

$$\Rightarrow -112= -m \ ar (RS )$

Multiply by (-1) on both sides.

$$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)$

$$\Rightarrow 112= m \ ar (RS )$

The measure of arc RS is 112.

6 0

3 years ago

a Textbook weighs 2.5 pounds. how many kilograms does the textbook weigh? round your answer to the nearest tenth of a pound. one

Rzqust [24]

If you round it to the nearest pound it is 1.1 kg
2.5/2.2 = 1.13....

3 0

4 years ago

Read 2 more answers

Mary borrowed $700 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan $42. As

Mashcka [7]

Answer:

2 %

Step-by-step explanation:

Money borrowed, Principal, P = $ 700

time of investment, T = 3 years

Total interest paid, Simple interest, S.I = $ 42

Let the rate of interest is R.

Use the formula for simple interest.

$S.I. =\frac{P\times R\times T}{100}$

By substituting the values

$42 =\frac{700\times R\times 3}{100}$

4200 = 2100 R

R = 2 %

Thus, the rate of interest is 2%.

3 0

4 years ago

the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 k

gavmur [86]

Given:
mantle layer of earth begins about 70 kilometers underneath the surface
outer core begins about 2970 kilometers underneath the surface

Since we need to find the position of each layer relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.

Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.

Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value.

6 0

3 years ago