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kumpel [21]
3 years ago
15

9. Which lines are parallel if m<4 = m<5? Justify your answer.

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

lines r and s

Step-by-step explanation:

we know that

<u><em>Alternate interior angles</em></u> are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

When the lines are parallel, the alternate interior angles are equal

so

In this problem

If lines r and s are parallel

then

m∠4=m∠5 ----> by alternate interior angles

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You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two si
pshichka [43]

Answer:

An equation modeling the situation  is : 4 m + 6 n  = 180

Step-by-step explanation:

Here,  the total number of guests in the banquet hall = 180

Let us assume number of tables ordered  with capacity of

4 people each  = m

And number of tables ordered  with capacity of 6 people each  = n

So, total number of people in m tables = m x ( Capacity of 1 table)

=  m x (4)  = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

=  n x (6)  = 6 n

So, the total capacity of ( m + n) tables  = 4 m + 6 n

Also, the total required capacity  = 180

⇒  4 m + 6 n  = 180

Hence, an equation modeling the situation  is : 4 m + 6 n  = 180

3 0
3 years ago
HELP!!!
Harlamova29_29 [7]

Answer:

y= -1x + 2

Step-by-step explanation:

-4/4 is the same as saying -1. slope always has to be in the simplest form.

5 0
2 years ago
HELP PLEASE!!! Which of the following is the equation for X: ax^2 = bx? Select all that apply.
ki77a [65]
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5 <<<< Answer.
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5 0
3 years ago
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Yanka [14]

Answer:

1 cup of sugar ..............

6 0
3 years ago
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The diagram shows the ratio of trees Maeve plants to the trees she harvests.<br> Thank u
Sveta_85 [38]

Answer:

Wednesday is 45 to 18.

Thursday is 55 to 22

Step-by-step explanation:

Wednesday: The original ratio was 5 to 2 And the info tells us that the new ratio is ? to 18. To find the first part we have to find how we got from 2 to 18. 2 * 9 = 18. So to find out the first part you do 5 * 9 = 45. We multiply 5 because Thats the original 1st part. We multiply 9 because that's how we got to 18 in the 2nd part. So the answer is 45 for Wednesday.

Thursday: The original ratio was 5 to 2 And the info tells us that the new ratio is 55 to ?. To find the first part we have to find how we got from 5 to 55. 5 * 11 = 55. So to find out the 2nd part you do 2 * 11 = 55. We multiply 2 because That's the original 2nd part. We multiply 11 because that's how we got to 55 in the 1st part. So the answer is 22 for Thursday.

4 0
3 years ago
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