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3 years ago

In the figure below, ‖hl and ‖jk. Find the values of z and y.

Mathematics

1 answer:

GenaCL600 [577]3 years ago

5 0

Answer:

y = 36

z = 98°

Step-by-step explanation:

✅z + 82° = 180° (consecutive exterior angles are supplementary)

Subtract 82 from each side

z = 180° - 82°

z = 98°

✅(4y - 46)° + 82° = 180° (supplementary angles)

4y - 46 + 82 = 180

Add like terms

4y + 36 = 180

Subtract 36 from each side

4y = 180 - 36

4y = 144

Divide both sides by 4

y = 144/4

y = 36

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Answer:

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Step-by-step explanation:

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The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(

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Answer:

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Step-by-step explanation:

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sertanlavr [38]

Answer:

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shtirl [24]

Step-by-step explanation:

question 1. Solve the equation 8-7/10 c = 6 - 1/5c for c

8 - 7/10c = 6 - 1/5c

subtract 8 from both sides:

8 - 7/10c - 8 = 6 - 1/5c - 8

- 7/10c = -2 - 1/5c

add 1/5c to both sides:

- 7/10c + 1/5c = -2 - 1/5c + 1/5c

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change to common denominator:

- 7/10c+ 2/10c = -2

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___________________________________

question 2. 75 - 3.5y - 4y = 4y + 6 for y

75 - 3.5y - 4y = 4y + 6

75 - 7.5y = 4y + 6

add 7.5y to both sides:

75 - 7.5y + 7.5y = 4y + 6 + 7.5y

75 = 11.5y + 6

subtract 6 from both sides:

75 - 6 = 11.5y + 6 - 6

69 = 11.5y

divide both sides by 11.5:

69/11.5 = 11.5y/11.5

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___________________________________

Question 3. Solve the equation 16.5 + 2.75h = 9h + 7.5 − 4.25h for h.

16.5 + 2.75h = 9h + 7.5 − 4.25h

16.5 + 2.75h = 4.75h + 7.5

subtract 7.5 from both sides:

16.5 + 2.75h - 7.5 = 4.75h + 7.5 - 7.5

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subtract 2.75h from both sides:

9 + 2.75h - 2.75h = 4.75h - 2.75h

9 = 2h

divide both sides by 2:

9/2 = 2h/2

h = 9/2

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