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poizon [28]
4 years ago
14

Find the value of x. The answer is 53, but I need to show my work. THANK YOU!!!

Mathematics
2 answers:
fiasKO [112]4 years ago
3 0

Answer:

53

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

Alexxx [7]4 years ago
3 0
The answer to the question is 53.
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The polygons are similar but not necessarily drown to scale. What is the value of x?
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<u>Solving for x</u>

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He equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.
Alisiya [41]

Answer:

The value of b is 12.9 cm

The value of a is 15.3 cm

Step-by-step explanation:

see the attached figure to better understand the problem

<em>Find the value of b</em>

we know that

in the right triangle ABC

The function sine of angle of 40 degrees is equal to divide the opposite side to the angle of 40 degrees (AC) by the hypotenuse (AB)

so

sin(40\°)=AC/AB

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AC=(AB)sin(40\°)

substitute the given value

AC=(20)sin(40\°)

AC=12.9\ cm

therefore

The value of b is 12.9 cm

<em>Find the value of a</em>

we know that

in the right triangle ABC

The function cosine of angle of 40 degrees is equal to divide the adjacent side to the angle of 40 degrees (BC) by the hypotenuse (AB)

so

cos(40\°)=BC/AB

Solve for BC

BC=(AB)cos(40\°)

substitute the given value

BC=(20)cos(40\°)

BC=15.3\ cm

therefore

The value of a is 15.3 cm

3 0
3 years ago
Read 2 more answers
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