Answer:
168
Step-by-step explanation:
6% of 200 is 12. So 12 spots are reserved for handicap. If an additonal 20 spots are suitable for compact cars only then we have to subtract that as well since we want to find the spots that are A. not reserved for hanicap and B. suitable for non-compact cars. 12 + 20 - 32. Then, 200 - 32 equals 168.
Each step of the proof are:
- a || b
- ∠1 ≅ ∠5
- ∠1 ≅ ∠5
- ∠5 ≅ ∠7
- ∠5 ≅ ∠7
- ∠1 ≅ ∠7
- ∠1 ≅ ∠7
<h3>How to complete the proof?</h3>
The given parameter is:
Lines a and b are parallel.
This is represented as; a || b
Corresponding angles are equal.
∠1 and ∠5 are corresponding angles.
So, we have: ∠1 ≅ ∠5
Also, they are congruent.
So, we have ∠1 ≅ ∠5
Vertical angles are equal.
∠5 and ∠7 are vertical angles.
So, we have: ∠5 ≅ ∠7
Also, they are congruent.
So, we have ∠5 ≅ ∠7
According to the transitive property;
If ∠1 ≅ ∠5 and ∠5 ≅ ∠7, then ∠1 ≅ ∠7
Hence, it has been proved that ∠1 ≅ ∠7
Read more about congruent angles at:
brainly.com/question/1675117
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The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
So he has $20 total
Friday: 20 - 4.58 = $15.42 left
Saturday: 15.42 - 7.43 = $7.99 left
Sunday: 7.99 - 3.50 = $4.49 left
He has $4.49 left.