If you want to solve for
, start by getting rid of the fraction.
Multiply both sides of the equation by .
This will get rid of the fraction on the left and give you
Now this is a regular old equation without fractions. To get by itself, you need to divide away
from both sides of the equation.
Can you finish it from there?
Answer:
∠CBD = 4(4) + 52°
= 16° + 52°
<u>= 68°</u>
Step-by-step explanation:
Given that,
∠ABC = 8x - 10°
∠CBD = 4x + 52°
Also,
∠ABD = 90°
∠ABD = ∠ABC + ∠CBD
∠ABD (90°) = (4x + 52°) + (8x - 10°)
∠ABD (90°) = 4x + 52° + 8x - 10°
∠ABD (90°) = (4x + 8x) + (52° - 10°)
∠ABD (90°) = 12x + 42°
90° - 42° = 12x
48° = 12x
= x
4° = x
∠CBD = 4x + 52°
∴ ∠CBD = 4(4°) + 52°
= 16° + 52°
= 68°
Answer:
The answer to your question is Perimeter = 287.3 in
Step-by-step explanation:
AB = 90 in
BC = 80 in
∠B = 50
Perimeter = ?
Process
1.- We need to find AC using Law of sines
A = 42.9 ≈ 43
The sum of the internal angles in a triangle equals 180°
A + B + C = 180°
43 + B + 50 = 180
B = 180 - 43 - 50
B = 87°
AC = 117.3
2.- Find the perimeter
Perimeter = AB + BC + AC
Perimeter = 90 + 80 + 117.3
Perimeter = 287.3 in