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2 years ago

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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Please help ASAP I have only one more try 20pts and brainliest

vovikov84 [41]

Answer:

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Step-by-step explanation:

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3 years ago

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The local theater is showing a matinee and offering a special deal for the community. A ticket for an adult costs $11 and a tick

Irina-Kira [14]

First, x+y=60 and solve for x

x= 60-y

Then set up the equation 11x+6y=460

Since, x=60-y, you plug in for y

11(60-y)+6y=460

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660-660-5y=460-660

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Divide both sides by 5 (you can drop the negative because they are both negative)

5y/5 = 200/5

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Then take y & plug it back into the original equation of:

x+y = 60 (solve for x)

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x=20

The answer is 20 adult tickets (x) and 40 child tickets (y) were sold.

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2 years ago

What is the value for 19 - 6x = y when x = 7 ? 6 13 -23 32

Nutka1998 [239]

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Step-by-step explanation:

19 - 6(7) = y

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2 years ago

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Part A: describe how you can decompose this shape into triangles. (2 points) Part B: what would be the area of each triangle? (5

Kipish [7]

Answer:

Part A: Describe how you can decompose this shape into triangles: If you draw a line from each vertex to the vertex at the opposite side of the hexagon, you will form 6 triangles.

Part B: What would be the area of each triangle: 62.4

Part C: Using your answers above, determine the area of the table's surface: 374 .4

Step-by-step explanation:

Part A: Describe how you can decompose this shape into triangles: If you draw a line from each vertex to the vertex at the opposite side of the hexagon, you will form 6 triangles.

Part B: What would be the area of each triangle: bxh /2

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Part C: Using your answers above, determine the area of the table's surface: 374.4

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2 years ago

Find the perimeter of the shape with vertices (2, 3), (5, 3) and (5, 7).

topjm [15]

Answer:

right triangle with sides 3,4,& 5

perimeter=12

Step-by-step explanation:

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2 years ago

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

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