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oksano4ka [1.4K]
3 years ago
9

7. Write a paragraph proof of theorem 3-8: in a plane, if two lines are perpendicular to the same line, then they are parallel t

o each other.

Mathematics
1 answer:
aliina [53]3 years ago
6 0

Step-by-step explanation:

Assume that two lines x and y are perpendicular to the line z.

+) x intersects z at point A => Angle A1 = 90°

+) y intersects z at point B => Angle B1 = 90°

As it can be seen from the figure that Angle A1 and Angle B1 are corresponding angles and they are congruent.

According to the corresponding angle theorem, when two parallel lines are cut by a transversal, the pair of corresponding angles are congruent and vice versa, when two lines are cut by the same line and the pair of corresponding angles are congruent, they are parallel.

=> x and y are parallel.

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Jamal and Sean plan to make T-shirts to sell at a fair. Jamal plans to make 6 T-shirts
Butoxors [25]

Answer:

Jamal will have made 12 more T-shirts than Sean on the 6th day.

Step-by-step explanation:

1 day for Jamal - 6 T-shirts.                                                                                        1 day for Sean - 4 T-shirts.                                                                                               2 day for Jamal - 12 T-shirts.                                                                                                  2 day for Sean - 8 T-shirts.                                                                                                     3 day for Jamal - 18 T-shirts.                                                                                              3 day for Sean - 12 T-shirts.                                                                                               4 day for Jamal - 24 T-shirts.                                                                                                  4 day for Sean - 16 T-shirts.                                                                                                   5 day for Jamal - 30 T-shirts.                                                                                                5 day for Sean - 20 T-shirts.                                                                                             6 day for Jamal - 36 T-shirts.                                                                                                   6 day for Sean - 24 T-shirts.                                                                                           Number between 24 and 36 = 12.

3 0
3 years ago
Devon rented a U Haul truck for $48 for 4 hours plus $13.50 per each hour you go over. At the end of the day, his total bill was
Rasek [7]

Answer:

You need to write an equation to find the answer to this:

h = hours

48 + 13.5h = 112.50               -First you need to subtract 48 from both sides

48 - 48 + 13.5h = 112.50 - 48

13.5h = 64.5         -Now divide both sides by 13.5

13.5h / 13.5 = 64.5 / 13.5

h = 4.77777778

However, I would just round to 5.

I hope this helps!

-Mikayla



3 0
3 years ago
Draw a picture to support your work and how many yards did the grasshopper travel after hopping twice
tankabanditka [31]
So the grasshopper traveled 2 yards in each jump
7 0
3 years ago
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Fiesta28 [93]

Answer:

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Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ VWX is an exterior angle of the triangle, thus

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8x - 18 = 5x + 24 ( subtract 5x from both sides )

3x - 18 = 24 ( add 18 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Thus

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8 0
3 years ago
Please answer 6, 7 and 8
alexandr402 [8]

Answer:

A

Step-by-step explanation:

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3 years ago
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