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777dan777 [17]
2 years ago
5

In a regular polygon, each interior angle measures 150°. How many sides does the polygonhave?​

Mathematics
1 answer:
Bezzdna [24]2 years ago
7 0

Answer:

12 sides

Step-by-step explanation:

(n-2)*180/n = 150

180n-360 = 150n

-360 = 150n-180n

-(-360) = -(-30n)

360 = 30n

n = 360/30

n = 12

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Miguel collected aluminum cans for recycling. He collected a total of 150 cans. If 58% of the cans he collected were soda cans h
Romashka-Z-Leto [24]

Given:

• Total number of cans collected = 150

,

• Percent of cans that were soda = 58%

Let's find the number of other cans he collected.

To find the number of other cans, since the percent of soda is 58%, let's find the pecent of other cans.

Percent of other cans = 100% - 58% = 42%

The percent of other cans collected was 42%.

Now, to find the number of other cans collected, let's find 42% of the total number of cans collected 150.

We have:

42\text{ \% }\ast150\Longrightarrow0.42\times150=63

Therefore, the number of other cans collected is 63 cans.

ANSWER:

63 cans

4 0
1 year ago
List of all numbers less than 30 are divisible by 8?
Pavel [41]
8
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24

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8 0
3 years ago
Read 2 more answers
Find the measures of the missing angles g, h, k, and m
Darina [25.2K]

Answer:

Angle g = 29 degrees

Angle h = 180-29 = 151 degrees

Angle k = 61 degrees

Angle m = 180 - 61 = 119 degrees

Step-by-step explanation:

6 0
3 years ago
How do I solve this equation
Anestetic [448]
-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts.  First we have to solve for one of the variables in one of the equation in terms of the other variable.  I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8      add y to each side
-x = 8 + y      divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation.  In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1      multiply the 2 through the parentheses
-16 - 2y - y = -1      combine like terms
-16 - 3y = -1            add 16 to both sides
-3y = 15                   divide each side by -3
y = -5

Now we have a value for y.  We need to plug it into either of the original equations then solve for x.  I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8            multiply -1 through the parentheses
-x + 5 = 8                subtract 5 from each side
-x = 3                      divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

4 0
3 years ago
A red ant travels 9/8 inches in 3/4 minutes and 3 3/8 inches in 2 1/4 minutes what is the ants speed in inches per minute? What
I am Lyosha [343]

Answer:

1. 1.5 inches per minute

2. 90 inches per hour

Step-by-step explanation:

speed = \frac{distance}{time}

1. total distance covered = \frac{9}{8} + \frac{27}{8}

                                      = \frac{9+27}{8}

                                      = \frac{36}{8}

                                      = 4\frac{1}{2} inches

Total time taken = \frac{3}{4} + \frac{9}{4}

                           = \frac{3 +9}{4}

                           = \frac{12}{4}

                           = 3 minutes

The ants average speed = \frac{4.5}{3}

                                         = 1\frac{1}{2}

                                         = 1.5

The ants speed is 1\frac{1}{2} inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = \frac{3}{60}

  = \frac{1}{60}

  = 0.05 hours

Speed = \frac{4.5}{0.05}

           = 90 inches per hour

The red ants speed is 90 inches per hour.

3 0
3 years ago
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