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lana [24]
3 years ago
13

The figure below shows two parallel lines cut by a transversal:

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

"They add up to 180 degrees, because they are a pair of supplementary angles"

Step-by-step explanation:

When parallel lines are cut by transversal, it creates vertical angles (opposite of each other) that are equal AND also supplementary angles (that are adjacent to each other and fall in one line). They add up to 180 degrees.

Looking at the figure, we see angle 1 and 2 fall in one line which is 180 degrees. Thus, angles 1 and 2 are supplementary, they add up to 180 degrees.

The correct choice is "They add up to 180 degrees, because they are a pair of supplementary angles"

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Answer:

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Step-by-step explanation:

The first term is - 9 and the common difference is 6.

Formula is - 9+(n-1)*6

3 0
2 years ago
A circular dance stage has a perimeter of 28(3.14) feet. What is the area, in square feet, of this dance stage?
tiny-mole [99]
The perimeter (circumference) = 28 * PI.
This means the diameter = 28.
The area = PI*radius^2
area = PI * 14^2
area = PI * <span> <span> <span> 196 </span> </span> </span>
area = <span> <span> <span> 615.7521601036 </span> </span> </span> square feet


4 0
3 years ago
A right triangle has legs of lengths 8 and 15.
nalin [4]

Answer:

15

Step-by-step explanation:

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3 0
3 years ago
Suppose PR = 54, solve for QR<br> 4x-1<br> 3x-1<br> P<br> R
Svet_ta [14]

Answer:

QR = 23

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

PQ = 4x - 1

QR = 3x - 1

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

PQ + QR = PR

(4x - 1) + (3x - 1) = 54 (substitution)

Solve for x

4x - 1 + 3x - 1 = 54

Combine like terms

4x + 3x - 1 - 1 = 54

7x - 2 = 54

Add 2 to both sides

7x - 2 + 2 = 54 + 2

7x = 56

Divide both sides by 7

\frac{7x}{7} = \frac{56}{7}

x = 8

QR = 3x - 1

Plug in the value of x into the equation

QR = 3(8) - 1 = 24 - 1

QR = 23

5 0
3 years ago
Planes S and R both intersect plane T Which statements are true based on the diagram? Select three options OPlane S contains poi
jeka94

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option (1).

Planes S contains points B and F.

False.

(Point B lies on plane S and point F lies on plane R)

Option (2).

The line containing points A and B lie on the plane T.

True.

(points A and B lie on plane T)

Option (3).

Line v intersects lines x and y at the same plane.

False.

Option (4).

Line z intersects plane S at point C.

True.

Option (5).

Planes R and T intersect at line y.

True.

5 0
3 years ago
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