Answer:

Step-by-step explanation:
To solve this problem you must know the formula of subtraction of angles for the function cosx.
The formula is:

We can write 30° as: 45° - 15°
Then:

Using the formula for subtraction of angles we have:

Notice that we have achieved the expression shown in the statement
Finally:

Angle = 68⁰ is an inscribed angles, this angle equal 68⁰,
so it intersect arc = 2*68⁰= 136⁰.
Arc of the whole circle (circumference) =360⁰,and it also =b+104+136.
b+104+136 =360
b=360-(104+136) = 120⁰
Answer A. b=120⁰.
Answer: Choice B) Angle L = Angle O
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If we know that Angle L is congruent to Angle O, then we can use the AAS (angle angle side) congruence property. We have one pair of angles marked by the square marker (angle J and angle M). So they are congruent angles. We have a pair of congruent sides JK = MN = 3. So we're just missing a pair of angles.
Note: The answer is NOT angle K = angle N because this would mean ASA would be used instead of AAS. The order of the letters is important as it establishes how the sides and angles relate. With ASA, the side is between the angles. With AAS, the side is not between the angles.
5. 1:175, if 2ft= 350 ft in life 1ft feet would probably be 175. (Cross multiplication)
6.a)100miles, 1 inch= 20mile so 5 inches multiplied by 20 miles gives you 100miles
b) 10 inches from Appleton. 1inch:20miles (cross multiply to get 10inches)
x :200miles
c)25000 miles will reach the equator so 50000 miles will go around the world! So, if 1inch:20miles,(50000/20=2500inches) And if 12inches:1ft, 2500inches * 1ft/12 inches to get 208.33.
7.a) 1inch:2.5miles(5inches*2.5miles/1) 5inches would be 12.5miles.
b)1inch:2.5miles, 41miles?. (1inch*41miles/2.5miles=x) x=16.4, so 41miles=16.4inches
c)No. Because they have different scales.