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PtichkaEL [24]
2 years ago
5

How do I workout/find the unknown angles please

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

Answer: x = 135 degrees and y = 225 degrees.

Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.

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Solve for x in the equation 2x^2-4x-9=29
Andrews [41]

Answer:

x = 1  ±2sqrt(5)

Step-by-step explanation:

2x^2-4x-9=29

Add 9 to each each side

2x^2-4x-9+9=29+9

2x^2-4x=38

Divide by 2

2/2x^2-4/2x=38/8

x^2 -2x =19

Complete the square

x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2

x^2 -2x +1 = 19+1

(x-1)^1=2 = 20

Take the square root of each side

sqrt((x-1)^2) = ±sqrt(20)

x-1 =  ±sqrt(20)

Add 1 to each side

x-1+1 = 1  ±sqrt(20)

x = 1 ±sqrt(20)

Simplifying the square root of 20

x = 1  ±sqrt(4)sqrt(5)

x = 1  ±2sqrt(5)

3 0
3 years ago
What is the slope of the line passing through points A(−18,24) and B(16,−8)?
Anastaziya [24]
       y2-y1     -8-24        -32     -1*2*2*2*4      16
M= --------- = ----------- = ------ = --------------- = ------
       x2-x1      16-(-18)     -2       -1*2                  1
6 0
3 years ago
Shelly can cut a lawn with a riding mower in 22 hours less time than it takes william to cut the lawn with a push mower. if they
umka2103 [35]
Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount  of time Shelly takes working alone
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7 0
3 years ago
A central angle measuring 150° intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle for
katovenus [111]

Answer: 15

Step-by-step explanation: its 15

4 0
3 years ago
What is 28 tiles in 7 ros. (It has to be a divison equation)
raketka [301]

If 28 tiles is placed in 7 rows then each row has 4 tiles.

<u>Step-by-step explanation:</u>

The total number of tiles given =28.

The number of rows = 7.

The number of tiles in each row is given by diving the total number of tiles given by the number of rows.

No of tiles in each row= \frac{total number of tiles}{number of rows}.

No of tiles in each row = \frac{28}{7}.

No of tiles in each row = 4.

Note: You can replace the values according to the given values.

8 0
3 years ago
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