Check the picture below.
Solve for x, I'm confused
2 answers:
Answer:
x = 22
Step-by-step explanation:
Knowing that it a supplementary angle = 180 degree
It a right angle therefore it makes that 90 degree
Thus,
The 2 equation is
4x + 2 = 90
3x + 24 = 90
Let first solve this one
4x + 2 = 90
Subtract 2 from both sides
4x + 2 - 2= 90-2
Simplify
4x = 88
Divide both sides by the same factor
4x/4 = 88/4
Simplify
x = 22
Now the second equation:
3x + 24 = 90
Subtract 24 from both sides
3x + 24 - 24 = 90 -24
Simplify
3x = 66
Divide both sides by the same factor
3x/3 = 66/3
Simplify
x = 22
Hence, x = 22.
[CloudBreeze]
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Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B =
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,
sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°