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DanielleElmas [232]
3 years ago
6

Equation practice with angle addition ​

Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:

∠MON = 57°

Step-by-step explanation:

∠MON = ∠LON - ∠LOM

(2x + 33°) = 113° - (3x + 20°)

2x + 33° = 113° - 3x - 20°

2x + 3x = 113° - 20° - 33°

5x = 60°

x = \frac{60}{5} \\\\x = 12

then

∠MON  = 2x + 33°

∠MON = 2(12) + 33°

∠MON  = 24 + 33°

∠MON = 57°

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Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

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<u>Equidistant Chords Theorem</u>

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

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Answer:

See screenshot below

Step-by-step explanation:

Yes Bus Column:

  1. We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi"  = "no taxi"
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No Bus Column:

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