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sammy [17]
3 years ago
8

I will give u a five dollar gift card plz help!!!

Mathematics
2 answers:
juin [17]3 years ago
6 0

Answer:

1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

NikAS [45]3 years ago
6 0

Answer:

1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

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Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15

<em><u>Solution:</u></em>

The function that models the yield is:

f(x) = -x^2 + 20x + 75

The average rate of change of f(x) from x = a to x = b is given by the formula:

\text{ average rate of change }=\frac{f(b)-f(a)}{b-a}

Find and interpret the average rate of change from year 5 to year 15

f(5) = -(5)^2 + 20(5) + 75\\\\f(5) = -25 + 100 + 75\\\\f(5) = 150

f(15) = - (15)^2 + 20(15) + 75\\\\f(15) = -225 + 300 + 75\\\\f(15) = 150

<em><u>Thus average rate of change:</u></em>

\text {average rate of change}=\frac{f(15)-f(5)}{15-5}

\text {average rate of change}=\frac{150-150}{10}=0

Thus Average rate of change is 0

Interpretation: The crop yield did not change from year 5 to year 15.

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Answer:

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