Answer:
Step-by-step explanation:
degree 1
Answer:
68° and 112°
Step-by-step explanation:
Supplementary angles sum to 180°
let the smaller angle be x then the larger angle is x + 44 , then
x + x + 44 = 180 , that is
2x + 44 = 180 ( subtract 44 from both sides )
2x = 136 ( divide both sides by 2 )
x = 68
Smaller angle = 68° and
larger angle = x + 44 = 68 + 44 = 112°
Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Answer:
B=45
Step-by-step explanation:
Multiply 8 by 5
Add 40 and 5 together
