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Hitman42 [59]
2 years ago
8

What is the sum of the interior angles of the polygon shown below?

Mathematics
1 answer:
tester [92]2 years ago
7 0

Given:

Polygon

To find:

The sum of the interior angles of the polygon.

Solution:

Number of sides = 7

Sum of the interior angles formula:

\text{Sum}=(n-2)\times 180^\circ

Substitute n = 7 in the formula.

      =(7-2)\times 180^\circ

      =5\times 180^\circ

      =900^\circ

The sum of the interior angles of the polygon is 900°.

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In parallelogram LMNO, what is the measure of angle N?<br><br> 50°<br> 70°<br> 110°<br> 130°
belka [17]

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

So

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L=180

Step 1

Find the value of x

(x+20)+(2x+10)=180\\ 3x+30=180\\ 3x=180-30\\ x=\frac{150}{3} \\ \\ x=50\ degrees

Step 2

Find the value of angle L

m∠L=(2x+10)

m∠L=(2*50+10)

m∠L=110\ degrees

Remember that

m∠N=m∠L

m∠N=110\ degrees

therefore

the answer is

the measure of the angle N is equal to 110\ degrees





4 0
2 years ago
Read 2 more answers
If a#b = a+2b, for integers a and b, what is the value of 3#4?
STatiana [176]
Can u translate to indonesia please.
8 0
3 years ago
A rich woman deposits a whole number of dollars x in her bank. The next time she deposits y dollars (still a whole number). Each
grin007 [14]

Answer:

x = 12

y = 22

Total amount = $2596

Step-by-step explanation:

First let's find the value of each deposit until the 10th in relation to x and y:

1st: x

2nd: y

3rd: x + y

4th: x + 2y

5th: 2x + 3y

6th: 3x + 5y

7th: 5x + 8y

8th: 8x + 13y

9th: 13x + 21y

10th: 21x + 34y

Now, we can write a system with two equations and two variables:

2x + 3y = 90

21x + 34y = 1000

From the first equation: x = (90 - 3y)/2

Using this value of x in the second equation, we have:

21*(90 - 3y)/2 + 34y = 1000

945 - 31.5y + 34y = 1000

2.5y = 55

y = 22

Now we can find x:

x = (90 - 3*22)/2 = 12

Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596

5 0
3 years ago
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the
Gnom [1K]

Answer:

The height is 2.25 meters.

Step-by-step explanation:

The volume of a right rectangular prism is the product of the length, width, and height. So it would be V=w*l*h.

Because you have been given the values of the volume, width, and length, you can plug in those values into the equation to find the height. It should look like this: 43.875=5 * 3.9 * h

Then you can divide both sides of the equation by 5 * 3.9.

So... 43.875/(5*3.9)=h

therefore h= 2.25.

hope this explanation makes sense!

4 0
3 years ago
Read 2 more answers
Use the diagram to find the measure of angle KHL.
bija089 [108]

Answer:

m∠KHL = 43°

Step-by-step explanation:

From the picture attached,

m∠KHL ≅ m∠GHL [Given in the picture]

Now substituting the values of the angles,

(3x + 1) = (5x - 27)

1 + 27 = 5x - 3x

28 = 2x

14 = x

m∠KHL = (3x + 1)° = (3 × 14) + 1

                             = 42 + 1

                             = 43°

Therefore, measure of ∠KHL = 43°

3 0
3 years ago
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