Answer:
See below
Step-by-step explanation:
When you have 2 sides and the angle between them you use the cosine theorem or law of cosines:


After you have a side and the opposed angle (side b and angle B), you use the law of sines:

I will calculate angle A first:
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Same for angle C:

The sum of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum must be 180° so this isnt a triangle.
I re did the problem using B as 63° instead of 36° in case you wrote it wrong and I got a satisfactory answer.
using B = 36:
b = 36.6
angle A = 86.4°
angle C = 29.1°
A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°
Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.
Answer:
x = 3
Step-by-step explanation:
All three vertical lines are parallel and that makes the angle with measure of 67 degrees and the angle with measure represented by 23x - 2 are alternate and equal:
67 = 23x - 2 add 2 to both sides
69 = 23x divide both sides by 23
3 = x
Answer:
Step-by-step explanation:
You cannot solve the problem be cause you dont know how many trees there are.
Complimentary means they equal 180 so if one is 5 more then 4 times the other one is m<1= x and m<2= 4x+5°. Then solve for x. So! x+4x+5= 180. (solve to get) x=35. SO IN CONCLUSION::: <1= 35 (x) and <2= 145 (4x+5) using substitution after solving to find x.