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FinnZ [79.3K]
2 years ago
7

Using the image above, set up the equation that would help to determine the value of angle x.

Mathematics
1 answer:
Ivenika [448]2 years ago
5 0

Answer:

the equation is sin−1 (8/11)

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The sum of the angles in a hexagon is 720°.
qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

To find:

(a) Equation to solve the value of x.

(b) The value of x.

(c) The measure of angle C.

Solution:

(a)

We have,

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

The sum of the angles in a hexagon is 720°.

m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ

90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ

90+126.87+(3x)+90+143.13+143.13 =720

Therefore, the required equation is 90+126.87+(3x)+90+143.13+143.13 =720.

(b)

On solving the above equation, we get

593.13+3x =720

3x =720-593.13

3x =126.87

Divide both sides by 3.

x =\dfrac{126.87}{3}

x =42.29

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

m\angle C=(3x)^\circ

m\angle C=(3\times 42.29)^\circ

m\angle C=126.87^\circ

Therefore, the measure of angle C is 126.87 degrees.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=12%20%7B%3F%7D%5E%7B2%7D%20" id="TexFormula1" title="12 {?}^{2} " alt="12 {?}^{2} " align="abs
nordsb [41]
12^2 is 144, 12 x 12. Hope this helps?
4 0
2 years ago
 What is the mathematical term for "the same"?
melisa1 [442]

Answer:

Equivalent / Equal

Step-by-step explanation:

5 0
3 years ago
How to check this answer 13=13+5(x-2)
USPshnik [31]

x=2

__________

13=13+5(x-2)

13=13+5x-10

13+10=13+5x

23=13+5x

23-13=5x

10=5x

10/5=x

2=x

4 0
3 years ago
Read 2 more answers
Ten raised to a negative exponent is a number less than 0, true or false?
Anna71 [15]

Answer:

False. It is a number between 0 and 1.

8 0
3 years ago
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