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Charra [1.4K]
3 years ago
9

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 254

Mathematics
2 answers:
bixtya [17]3 years ago
8 0

Answer:

614°, -106°

Step-by-step explanation:

Coterminal angles are angles in standard position, that is, angles with the initial side on the positive x-axis, that have a common terminal side.

Coterminal angles can be found by adding or subtracting 360° to the original angle.

Let's consider the angle 254°.

If we add 360°, we have 254° + 360° = 614°. This is a positive coterminal angle.

If we subtract 360°, we have 254° - 360° = -106°. This is a negative coterminal angle.

Ksenya-84 [330]3 years ago
4 0
360-254= -106
One angle is 254 and the other -106
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©MP.4 Model with Math
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Answer:

The drawings are in the picture attached and the explanations are below.

Question 1.

  • Equation: w = 10 × 8 lb
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Question 2:

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Explanation:

<u>Question 1:</u>

  • Statement 1: Mary was born, she weighet 8 lbs
  • Statement 2: When she was 10 years old weighed 10 times as much

                              w = 10 × 8 lbs = 80 lbs

<u>Explanation of the drawing:</u>

<u />

Each cell represents 8 lbs, which was the weight when she was born. There are 10 cells, representing that the amount 8 lbs is repeated 10 times.

Then, the multiplication is represented  an abbreviated sum:

  • 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 10 × 8 = 80

<u>Question 2:</u>

  • Statement: find the difference, d, between Mary's weight when she was 10 years old and when she was born.​

        d         =          80 lbs   -     8 lbs   =       72 lbs

        ↑                       ↑                  ↑                  ↑

 difference       10 years old      born          solution

<u>Explanation of the drawing:</u>

  • When you subtract one cell (8 lb) from ten cells (10 × 8 = 80 lb), you obtain nine cells ( 9 × 8 lb = 72 lb).

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