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butalik [34]
3 years ago
14

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics
2 answers:
velikii [3]3 years ago
7 0

Answer:

x = 27

Step-by-step explanation:

Since AC and DE are parallel lines, then

∠ BAD = ∠ EDF= 2x ( corresponding angles )

The sum of the 3 angles in Δ BAD = 180°, thus

2x + 2x + 72 = 180, that is

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

ICE Princess25 [194]3 years ago
3 0

Answer:

x = 27

Step-by-step explanation:

hope i helped

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Alenkasestr [34]

Answer:

x = 41.7

WYZ = 63.4 degrees

WZY = 33.2 degrees

ZWY = 83.4 degrees

Hope that helps!

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2 years ago
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kirill115 [55]
The answer is 4x that the answer
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Justin car can travel 75 miles using 3 gallons of gas. At this rate, how far, in miles, can Justin travel using 8 gallons of gas
AlekseyPX

Answer:

Justin travels 211.83 miles on 8.2 gallons of gas.

Step-by-step explanation:

77.5 miles / 3.1 gallons = x miles / 8.2 gallons

Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.

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8 0
2 years ago
AB was dilated by scale factor of 2 to create A'B',
Tpy6a [65]

Answer:

M

Step-by-step explanation:

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Connect points A and A' with a straight line, connect points B and B' with a straight line. The point where these two straight lines will intersect is the center of dilation.

As you can see, these lines intersect at point M, so, point M is the center of dilation.

3 0
2 years ago
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help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
vodka [1.7K]

Answer:

72

Step-by-step explanation:

As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.

Therefore the rectangular prism will have a volume of 2 * 4 * 9

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