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Liono4ka [1.6K]
3 years ago
10

Complete the two-column proof found in the attachment

Mathematics
1 answer:
Bumek [7]3 years ago
6 0
<span>1) m<1+m<2=180 ========> supplementary angles
</span><span>2) m<3+m<2=180 ========> opposite angles are equal (vertical angles
                                                  theorem)
</span>3) m<3 and m<5 are supplementary ====> <span>Consecutive Interior Angles</span> 
4) L || M =====> corresponding angles converse.(If two lines cut by a
                            transversal so that corresponding angles are
                            congruent,then 
the lines are parallel to each other.)
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A theme park had 1099 visitors in 3 days.There were twice as many visitors on saturday than on Friday.There were 234 more visito
Blababa [14]

Answer: there were 692 visitors on Saturday.

Step-by-step explanation:

Let x represent the number of visitors that were there on Friday.

Let y represent the number of visitors that were there on Saturday.

Let z represent the number of visitors that were there on Sunday.

The theme park had 1099 visitors in 3 days. It means that

x + y + z = 1099- - - - - - - - - - - - - -1

There were twice as many visitors on saturday than on Friday. This means that

y = 2x

x = y/2

There were 234 more visitors on Sunday than on Saturday. This means that

z = y + 234

Substituting x = y/2 and z = y + 234 into equation 1, it becomes

y/2 + y + y + 234 = 1099

Cross multiplying by 2, it becomes

y + 2y + 2y + 468 = 2198

5y = 2198 - 468

5y = 1730

x = 1730/5

x = 346

y = 2x = 2 × 346

y = 692

z = y + 234 = 692 + 234

z = 926

3 0
3 years ago
Suppose that G(X) = F(x + 2). Which statement best compares the graph of
nignag [31]

Answer:

A

Step-by-step explanation:

If you have to add 2 to X to get it back to the original, it started out 2 to the left.  (It would seem like it ought to be C, but when you add an subtract from the x value in functions, it's opposite of what you might think.)

6 0
3 years ago
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otez555 [7]
The answer is A(45) = -211
3 0
3 years ago
What is the measure of ∠X?<br><br><br> 69°<br><br><br> 111°<br><br><br> 180°<br><br><br> 21°
vazorg [7]

Answer:

The angle measure is 111 degrees.

Step-by-step explanation:

Opposite angles confined within a circle and a square will be equal to 180. In this case, since angle Z is equal to 69, angle x is 180.

6 0
3 years ago
Which is greater 7/9 or 787/1000
ruslelena [56]

Answer:

787/1000

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
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