Answer: BM = 21.4
Step-by-step explanation:
Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as
m/SinM = s/SinS = b/SinB
Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.
From the information given,
Angle M = 102°
Angle B = 35°
Angle S = 180 - (102 + 35) = 43°
b = MS = 18
s = BM
Therefore
18/Sin 35 = BM/Sin 43
Cross multiplying, it becomes
BMSin35 = 18 × Sin 43
BM × 0.5736 = 18 × 0.6820
0.5736BM = 12.276
Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes
0.5736BM/0.5736 = 12.276/0.5736
BM = 21.4
A regular polygon with exterior angle of 7.2 degrees is a 50-gon.
<h3>Regular polygon</h3>
Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.
The formula to find the number of sides of a polygon using exterior angle is as follows:
where
n = number of sides
Therefore,
7.2 = 360 / n
cross multiply
7.2n = 360
divide both sides by 7.2
n = 360 / 7.2
n = 50
The polygon has 50 sides. Therefore, it is a 50-gon
learn more on polygon here: brainly.com/question/12105506
8x = 54 - 6.
Then lets solve the equation. :)
8x = 48.
x = 6.
Hope it helps! :)
Answer:
that is a two sided triangle
The answer for this is 10
