All categories

2 years ago

if the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon have?

1 answer:

7 0

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Number of Sides = (Sum of Interior Angles / 180) +2

Number of Sides = (900 / 180) +2

Number of Sides = 7

It's a heptagon

You might be interested in

Are the ratios 1:3 and 2:4 equivalent

larisa [96]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which graph represents the solution set of the system of inequalities? {y<−3x−2y y≤x−2

irina1246 [14]

Answer:

Option 1

Step-by-step explanation:

In each inequality we have the equation of a line.

The first step in solving this problem is to identify each line in the figures.

To do this, we willient your cut points.

y = x-2

We do y = 0

0 = x-2

x = 2. This line cuts the x-axis at x = 2.

Now we do x = 0

y = -2.

This line cuts the y-axis in y = -2.

Now we can identify this line in the figure.

The inequality is:

y≤x - 2

Then the region that represents this inequality are all the points below the line y = x-2 and also those that belong to the line.

Try for example the point (0, -4) that is below this line.

-4≤0-2

-4≤-2. The inequality is met.

We do the same for the other line:

y<-3x - 2

y = -3x-2.

The cut points are:

2 = -3x

x = -2 / 3

y = -2

Locate in the graphs the line that meets these characteristics.

The region understood by this inequality are all points below the line

y = -3x-2 and which, in turn, are below the line y = x-2.

Once again, the point (-4.0) complies with both inequalities.

Identify these characteristics in the options, and you will see that the correct option is the first

4 0

3 years ago

Read 2 more answers

A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to scr

ratelena [41]

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

$500*\frac{40}{100} =5*40=200$

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

$500*\frac{25}{100} =5*25=125$

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

$500-(200+125)$

$500-325=175$

Therefore, 175 visitors went to screen 3.

7 0

2 years ago

Find the measure of each angle (in degrees) of

d1i1m1o1n [39]

Answer:

∠A = 88°

∠B = 92°

∠C = 88°

∠D = 92°

Step-by-step explanation:

∠A + ∠B = 180°

(2x + 4) + (3x - 34) = 180

reduce:

5x - 30 = 180

5x = 210

x = 42

∠A = 2(42) + 4 = 88°

∠B = 3(42) -34 = 92°

∠C = ∠A = 88°

∠D = ∠B = 92°

3 0

2 years ago

the points in a coordinate plane are reflected in the y-axis. in general, every point (x,y) is mapped onto what point

Lisa [10]

Answer:

I'm not sure if this is right but y=x

Step-by-step explanation:

6 0

2 years ago