M<ABC = m<EBD = 36 (vertical angles)
78 - x + 36 + 3x - 10 = 180 (straight angle)
Now solve for x
78 - x + 36 + 3x - 10 = 180
2x + 68 = 180
- 68 -68 (subtract 68 on both sides)
2x = 58
x = 29
A because its twice bigger than the real one
Answer:
117
Step-by-step explanation: 143\11=13
then multiply 13 by 9 and that equals 117
Note that
10² = 100
0.08² = 0.0064
and
101.6064 = 100 + 1.6 + 0.0064
It also happens that
1.6 = 2 • 10 • 0.08
which means
101.6064 = 100 + 1.6 + 0.0064
101.6064 = 10² + 2 • 10 • 0.08 + 0.08²
101.6064 = (10 + 0.08)²
101.6064 = 10.08²
which means
√101.6064 = 10.08
which, to one decimal place, is approximately 10.1.
Answer:
1. θ = 34.85°
2. x = 36.31°
3. x = 39.80°
Step-by-step explanation:
1. Determination of θ.
Adjacent = 11.9
Hypothenus = 14.5
Angle θ =?
Cos θ = Adjacent /Hypothenus
Cos θ = 11.9 / 14.5
Cos θ = 0.8207
Take the inverse of Cos
θ = Cos¯¹ 0.8207
θ = 34.85°
2. Determination of x
Opposite = 9 m
Hypothenus = 15.2 m
Angle x =?
Sine x = Opposite /Hypothenus
Sine x = 9 / 15.2
Sine x = 0.5921
Take the inverse of Sine
x = Sine¯¹ 0.5921
x = 36.31°
3. Determination of x
Opposite = 10 in
Adjacent = 12 in
Angle x =?
Tan x = Opposite / Adjacent
Tan x = 10 / 12
Tan x = 0.8333
Take the inverse of Tan
x = Tan¯¹ 0.8333
x = 39.80°