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aniked [119]
4 years ago
14

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

Mathematics
1 answer:
melisa1 [442]4 years ago
8 0

Given:

The number of sides of given polygon = 4

To find the sum of the interior angles of the polygon.

Formula

The sum of interior angles of any polygon is

Sum = (n-2)(180^\circ)

where, n be the number of sides of the polygon.

Now,

Taking n = 4 we get,

Sum = (4-2)(180^\circ)

or, Sum = 2(180^\circ)

or, Sum = 360^\circ

Hence,

The  sum of the interior angles of the polygon is 360°.

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James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, wha
SIZIF [17.4K]

Answer:

16%

Step-by-step explanation:

To find the percent, add the total for each meal to find the total dollars spent.

23.59 + 40.65 + 30.50 + 15.68 = 110.42

Divide the tip amount 17.67 by 110.42.

17.67/110.42 = 0.16

Multiply the decimal by 100 to convert to a percent.

0.16*100 = 16%

6 0
3 years ago
Help me with my last question plz
fomenos

Answer:

57

Step-by-step explanation:

Angle IHK and JKH are alternate angles.

Alternate angles are equal

3 0
3 years ago
Find the equation of the line that is parallel toy=32x−5
Alona [7]

Answer:

d/dx ( 32x - 5)

Step-by-step explanation:

i think this is right please tell me if its not

8 0
3 years ago
GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED
Scrat [10]
Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5     /5
18 = y

Angle 1: 2y + 50
              2(18) + 50
              36 + 50
              86

Angle 2: 3y + 40
              3(18) + 40
              54 + 40
              94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
        2 = 3x - 7
        9 = 3x
       /3    /3
        3 = x

Side 1: 5x + 2
            5(3) + 2
           15 + 2
           17

Side 2: 8x - 7
            8(3) - 7
            24 - 7
            17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17
6 0
3 years ago
Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50
lina2011 [118]

Answer:

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Step-by-step explanation:

The given function that models the water level is

f(x)=3,500-225x

where x represents time in hours.

The function represents a straight line that has slope m=-225

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put x=0 into the function.

f(0)=3,500-225(0)


f(0)=3,500, hence the initial level is 3,500.


To determine the level of water in the pool after 14 hours, we put x=14 into the equation to get;

f(14)=3,500-225(14)

f(14)=3,500-3150


f(14)=350


To determine the water level after 4 hours we put x=4

f(4)=3,500-225(4)

f(4)=3,500-900

f(14)=2,600


4 0
3 years ago
Read 2 more answers
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