Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
Answer: r = 3
Step-by-step explanation:
Step 1: Cross-multiply.
2r = 12/18
(2)*(18)=12*r
36=12r
Step 2: Flip the equation.
12r=36
Step 3: Divide both sides by 12.
12r/12 = 36/12
r = 3
Answer:
QTS=STQ=STR
Step-by-step explanation:
62.4% I think Because you move the decimal over 2 places.
Supplementary angles: sum of the angles measure to be 180º
180º-A= B
Plug in...
180º-80º= 100º
So, angle B must be 100 degrees.
