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svetoff [14.1K]
3 years ago
7

Name a pair of corresponding angles

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0
<h3>Corresponding angles = angle 1 and angle 5</h3>

They are on the same side of the transversal cut (both to the left of the transversal) and they are both above the two black lines. It might help to make those two black lines to be parallel, though this is optional.

Other pairs of corresponding angles could be:

  • angle 2 and angle 6
  • angle 3 and angle 7
  • angle 4 and angle 8

=======================================================

<h3>Alternate interior angles = angle 3 and angle 5</h3>

They are between the black lines, so they are interior angles. They are on alternate sides of the blue transversal, making them alternate interior angles.

The other pair of alternate interior angles is angle 4 and angle 6.

=======================================================

<h3>Alternate exterior angles = angle 1 and angle 7</h3>

Similar to alternate interior angles, but now we're outside the black lines. The other pair of alternate exterior angles is angle 2 and angle 8

=======================================================

<h3>Same-side interior angles = angle 3 and angle 6</h3>

The other pair of same-side interior angles is angle 4 and angle 5. They are interior angles, and they are on the same side of the transversal.

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Mumz [18]
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3 years ago
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The endpoints of CD are C(–8, 4) and D(6, –6). What are the coordinates of point P on CD such that P is the length of the line s
Arturiano [62]
If you graph the end points C and D then graph the 4 points at the end it is difficult to tell which points are on CD without a line.  
Using the endpoints find the slope (change in y/ change in x) then substitute a point in to find the intercept.  
Slope = (-6-4)/(6- -8) = -5/7
Intercept equation (-6) = -5/7 (6) + b
b = -1.71428571429
Graphing the line shows only 2 points on the line (–2.75, 0.25) and <span>(0.75, –2.25)
I am confused by the part, "</span><span>P is the length of the line segment from D".  Were you given a length P to help you determine which point.  Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given.  The image shows the distances I calculated and the graphed points. 
I hope this helps!</span>

3 0
3 years ago
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Move the numbers to the table to arrange them in order from least to greatest.
777dan777 [17]

Answer:

-3/5

-1/2

-0.4

0.6

4/5

Step-by-step explanation:

For this question I converted the fractions to decimals.

-3/5 = -0.6

-1/2 = -0.5

4/5 = 0.8

Start off with the negatives, as they are the lowest numbers. <em>The further they are from zero the lower they get.</em>

-0.6  (-3/5)

-0.5  (-1/2)

-0.4

Now there are only <em>2</em> positive numbers, so order them.

0.6

0.8 (4/5)

Put it all together:

-3/5

-1/2

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0.6

4/5

3 0
3 years ago
00:00
lara [203]

Answer:

It will take 39.27 gallons to repaint the barn.

Step-by-step explanation:

The image of the setup is obtained from online and attached to this solution.

The rectangular prism is a cuboid of

Length = 84 ft

Breadth = 38 ft

Height = 20 ft

And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.

The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism

Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.

The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.

B² = 12² + 19²

B = 22.47 ft

Total Surface area of the faces of the rectangular prism is then

2×(84×20) + 2×(38×20) = 4880 ft²

Total surface area of the faces of the triangular prism is then

2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²

Total surface area = 4880 + 4230.96 = 9110.96 ft²

1 gallon of paint = 232 ft²

x gallons of paint = 9110.96 ft²

x = (1×9110.96/232) = 39.27 gallons.

Hope this Helps!!!

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Step-by-step explanation:

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