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Komok [63]
3 years ago
8

Two parallel lines are cut by a transversal as shown below. Suppose m 6=63º. Find m 1 and m 3

Mathematics
1 answer:
tester [92]3 years ago
8 0

Answer:

Both are 117 degrees.

Step-by-step explanation:

Since 6 and 8 are vertical angles, they are congruent. So, 8 is also 63 degrees. Angle 4 corresponds to angle 8, so it is also 63. Angle 2 and angle 4 are vertical, so they are also congruent. So, angle 2 is 63. Since angle 1 and 2 form a straight line (180 degrees), you can find angle 1 by subtracting 63 from 180. You get 117. And since 1 and 3 are vertical, 3 is also 117.

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Evaluate (-2 4/5)-(-1 5/6)​
iragen [17]

Answer:

(-29)/30

Step-by-step explanation:

Simplify the following:

-(2 + 4/5) + (1 + 5/6)

Put 2 + 4/5 over the common denominator 5. 2 + 4/5 = (5×2)/5 + 4/5:

-(5×2)/5 + 4/5 + 1 + 5/6

5×2 = 10:

-(10/5 + 4/5) + 1 + 5/6

10/5 + 4/5 = (10 + 4)/5:

-(10 + 4)/5 + 1 + 5/6

10 + 4 = 14:

-14/5 + 1 + 5/6

Put (-14)/5 + 1 + 5/6 over the common denominator 30. (-14)/5 + 1 + 5/6 = (6 (-14))/30 + 30/30 + (5×5)/30:

(6 (-14))/30 + 30/30 + (5×5)/30

6 (-14) = -84:

(-84)/30 + 30/30 + (5×5)/30

5×5 = 25:

(-84)/30 + 30/30 + 25/30

-84/30 + 30/30 + 25/30 = (-84 + 30 + 25)/30:

(-84 + 30 + 25)/30

| 3 | 0

+ | 2 | 5

| 5 | 5:

(55 - 84)/30

55 - 84 = -(84 - 55):

(-(84 - 55))/30

| 7 | 14

| 8 | 4

- | 5 | 5

| 2 | 9:

Answer: (-29)/30

6 0
3 years ago
A rectangular fish tank has a base that is 7 inches
aivan3 [116]

Answer:

210 in^3

Step-by-step explanation:

7x5x6 = 210 cubic inches

8 0
3 years ago
A cube has an edge length of 8 meters. What is its volume, in cubic meters?
dmitriy555 [2]

Answer:

Step-by-step explanation:

8 ^3

Volume of a cube is base times height

l*w*h

A cube is a 3d square meaning all of its dimensions are equal

8*8*8

5 0
3 years ago
Read 2 more answers
01:59:51
IceJOKER [234]

Answer:

L+2=8

Step by step explaintion.

the length is so much longer than some multiple of the width

or perhaps the area of the rectangle.

8 0
3 years ago
Sandy works at a clothing store. She makes $9 per hour plus earns 10% commission on her sales. She worked 74 hours over the last
Rina8888 [55]
C. $206
2,057*.10=205.7
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3 years ago
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