Answer:
119°
Step-by-step explanation:
the angles of a triangle make 180° (so does a straight line) therefore
180 (triangle) = a + c + 51
to find c:
180 (straight line) = 112 + c
c = 180 - 112
c = 68°
now we have
180 (triangle) = a + 68 + 51
to find a:
a = 180 - (68 + 51)
a = 180 - 119
a = 61°
to find b:
180 (straight line) = 61 + b
b = 180 - 61
b = 119°
Answer:
The solution of the given equation x =11
Step-by-step explanation:
Given equation 34 - 5x = -21
<u>Step :-(a)</u>
Given equation 34 - 5x = -21
Subtracting '34' on both sides , we get
34 - 5x -34 = -21 -34
<u>Step:-(b)</u>
on simplification , we get
-5x = -55
<u>Step:-(c) </u>
Dividing ' -5' on both sides , we get
Cancellation '-5' on both sides , we get
x = 11
<u>Step :-(d)</u>
The solution of the given equation x =11
28.75 is the answer to this question. (sorry if its incorrect)
Answer:
0, π/6, 5π/6, π
Step-by-step explanation:
cos² θ − sin² θ = 1 − sin θ, 0 ≤ θ < 2π
Use Pythagorean identity:
(1 − sin² θ) − sin² θ = 1 − sin θ
1 − 2sin² θ = 1 − sin θ
2sin² θ = sin θ
2sin² θ − sin θ = 0
sin θ (2 sin θ − 1) = 0
sin θ = 0
θ = 0 or π
2 sin θ − 1 = 0
sin θ = 1/2
θ = π/6 or 5π/6
He will eventually make enough money to buy his car
