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Kay [80]
2 years ago
6

In the given figure, AB ∥ CD. If the complement of ∠5 equals the supplement of ∠4, find the measures of ∠4 and ∠5.​

Mathematics
1 answer:
Sidana [21]2 years ago
3 0

Answer:

Angle 4 = 135, angle 5 = 45

Step-by-step explanation:

Consecutive interior angles are supplementary, therefore angle 5 + angle 8 = 180 degrees. Since the complement of 5 is the supplement of 4, we can write the system of equations.

180 - x = 90 - y or -x + y - 90 - 180 or -x + y = -90 or x - y = 90

x + y = 180

x - y = 90

Where angle 4 is x and angle 5 is y.

y = 180 - x

x - (180 - x) = 90

x - 180 + x =90

x + x = 270

2x = 270

x = 135

By plugging that in to an equation we can solve for y.

y = 45

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3 years ago
ryan earns $5 for each small dog he walks and $8 for each latge dog he walks. today he walked 8 dogs and made a total of $55. ho
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If we divide 55 (the total amount of money he made) by 5 (price to walk one small dog), we get 11. Meaning that the maximum amount of small dogs he could possibly walk and receive that amount of money is 11. However, he only walked 8 dogs. Therefore Ryan would have needed to walk a specific amount of large dogs in order to earn 55 dollars in total.

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7 0
3 years ago
Solve 2(x-1)+2(3x-1)=0 ​
sertanlavr [38]

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8 0
3 years ago
Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t
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Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

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• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

The equation of a line in point- slope form is

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