Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
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Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
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The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
She wants to fill the garden with dirt so she should measure the area. If she were building a fence outside the garden then she'd measure the perimeter.
Answer:
See below ~
Step-by-step explanation:
<u>Drawing the rectangle</u> (Refer attachment)
<u>Horizontal sides</u>
- There are two x-values present : 1 and 6
- Find the difference
- 6 - 1 = 5
- The horizontal sides of the rectangle are <u>5</u> units long
<u>Vertical sides</u>
- Two y-values are present : 4 and 5
- Find the difference
- 5 - 4 = 1
- The vertical sides of the rectangle are <u>1</u> unit long
<u>Perimeter</u>
- 2(Horizontal side + Vertical side)
- 2(5 + 1)
- 2(6)
- 12
- The perimeter of the rectangle is <u>12</u> units
Answer:
4 trips
Step-by-step explanation:
Given that:
Dimension of rectangular tank :
(20cm * 30cm * 40cm)
Dimension of cubic container used to fill tank = 20cm per side
Volume of tank = (20 * 30 * 40) = 24400 cm³
Volume of cubic container = (20 * 20 * 20) = 8000 cm³
Number of trips it would take :
Volume of tank / volume of container
24400 cm³ / 8000 cm³
= 3.05
Hence, it will take 4 trips
