For the two lines to be parallel, the angles labeled 1 and 2 must be equal.
m 1 and m 2 have to be equal.
(5 - 3x) = (5x - 11)
Solve for x:
16=8x
2=x
X has to be 2.
Answer:
Step-by-step explanation:
CD is Pole
∠CAD = 4° {Alternate interior angles}
ΔCAD,
In ΔCDB,
∠B = 5° {Alternate interior angles}
9514 1400 393
Answer:
83.73 in³
Step-by-step explanation:
It is appropriate to use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³
The volume of the cone is about 83.73 in³.
Angle 3: 24 degrees- the angle across from it is 24 which makes this one 24 so it’s congruent.
Angle 1 and 4: 78 degrees- on one side of these angles (the line the seperates it running parallel) the angles total to 180 degrees, we take angle 3 which was 24 and subtract that from 180. That equals 156 which we then divide into two because we have two angles left to solve for which makes 78 each.
Angle 2: 71 degrees- We know angle 3 is 24 and we have a written angle as 85. Knowing each side of these angles equals 180 degrees, we add 85 and 24 to get 109. We then will subtract 180 from 109 to get our missing angle which is 71 degrees.
I hope I could help :)
