Answer:
60°
Step-by-step explanation:
We'll begin by calculating EC. This can be obtained as follow:
Angle EAC = 39°
Hypothenus = EA = 3.7 m
Opposite = EC =?
Sine EAC = Opposite /Hypothenus
Sine 39 = EC / 3.7
Cross multiply
EC = 3.7 × Sine 39
EC = 2.3 m
Finally, we shall determine angle BEC. This can be obtained as follow:
Adjacent = EC = 2.3 m
Hypothenus = BC = 4.6 m
Angle BEC =?
Cos BEC = Adjacent / Hypothenus
Cos BEC = 2.3 / 4.6
Cos BEC = 0.5
Take the inverse of Cos
BEC = Cos¯¹ 0.5
BEC = 60°
Thus, angle BEC is 60°
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We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.
1/4x - 1/8 = 7/8 + 1/2x
We add 1/8 to both sides.
1/4x=1+1/2x
We subtract 1/2x from both sides.
-1/4x=1
We divide both sides by -1/4 (same thing as multiplying -4).
B. x=-4
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I hope you can understand my work.