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Andrew [12]
2 years ago
13

In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠3=120°. What is m∠6?

Mathematics
1 answer:
victus00 [196]2 years ago
5 0

Answer:

The  m∠6 is 60 °.

Step-by-step explanation:

As given in  the figure

AB∥CD and m∠3=120°.

As AB and CD are parallel lines and a transversal line passing through AB and CD .

∠ 3 and ∠6 are same side interior angles .

Now by using the property

When two lines are parallel and tansversal passing through  parallel lines than same sides interior angles are supplementary .

Thus

∠3 + ∠6 = 180 °

( m∠3=120° )

120 ° + ∠6 = 180 °

∠6 = 180 ° - 120 °

∠6 = 60 °

Therefore the  m∠6 is 60 °.



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Each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.

Step-by-step explanation:

The amount spent on supplies is $20.

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= $20.00 + $25.00

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Therefor the required inequality can be written as

50 x ≥ $45.00            ⇒       x   ≥   \frac{45.00}{50}            ⇒      x   ≥  $0.90.

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7 0
3 years ago
Monica has 7.68 meters of gold wire she wants to cut into 0.96 meter log pieces. She also has 7.45 meters if silver wire she wan
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Answer:

Monica has 3 more pieces of gold than silver after she cut all her wire

Step-by-step explanation:

Total length of gold wire Monica has= 7.68 meters

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Total number of pieces she can cut  = \frac{Length\ of\ wire}{length\ of \ piece}= \frac{7.68}{0.96} = 8 pieces of gold wire

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Monica has 3 more pieces of gold than silver after she cut all her wire

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2 years ago
A TV screen is 15 in. high and 20 in. wide. Write a ratio of the TV's width to height.
lubasha [3.4K]

Answer:Height to width   is 3:4

Width to height   is 4:3

Step-by-step explanation:

A TV screen is 15 inches high and 20 inches wide.

Height of TV screen is 15 inches

Width of TV screen is 20 inches

To find ratio of Height to width

we replace the numbers in the ratio Height : width

15: 20

Divide both numbers by 5, so ratio becomes

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Height to width   is 3:4

To find ratio of  Width to height

we replace the numbers in the ratio Width : height

20:15

Divide both numbers by 5, so ratio becomes

4:3

Width to height   is 4:3

3 0
2 years ago
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