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Travka [436]
2 years ago
7

Which lines are parallel? Justify your answer.

Mathematics
2 answers:
Valentin [98]2 years ago
8 0

Answer:

Lines a and b are parallel because their corresponding angles are congruent

Step-by-step explanation:

The corresponding angle postulate states that Two lines are said to be parallel if when cut by a transversal, their corresponding angles are congruent.

Therefore given line a and line b which is cut by transversal e, both corresponding angles are equal to 110 (congruent), therefore according to the corresponding angle postulate, we can say that line a and line b are parallel to each other.

Lisa [10]2 years ago
3 0

Answer: A

Step-by-step explanation:

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What number is 1/10 as great as 7962
Sliva [168]
A number 1/10 as great as 7962 would be 796.2
 
   You get this answer by either dividing 7,962 with 10 which gives you 769.2

   Or you can multiply 7,962 with 1/10 to get 7,962/10. If you simplify then you get 796 1/5 or 796.2.
8 0
2 years ago
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(-15,-6), (8,3) Find the slope of the line through each pair of points?
lukranit [14]

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m = change in y / change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m = y^2 - y^1 / x^2 x^1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

3

−

(

−

6

)

8

−

(

−

15

)

Simplify.

Simplify the numerator.

Tap for more steps...

m

=

9

8

−

(

−

15

)

Simplify the denominator.

Multiply

−

1

by

−

15

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m

=

9

8

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Add

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9/23

8 0
2 years ago
Read 2 more answers
Melissa and Jane are planting trees. Melissa plants 10 trees in 1 hour. Jane plants 17 tree in 2 hours.
nadezda [96]

Answer:

6 hours

Step-by-step explanation:

Let both of them plan for  t hours to plant 111 trees n t hours

Melissa  can plants 10 trees in 1 hour

in t hours she can plant 10 t trees

Jane plants 17 tree in 2 hours

in one hour Jane can plant 17/2 trees

in t hours she can plant (17/2)t  trees.

Total trees planted by both of them in t hours in terms of t will be

10t + (17/2)t

= (10t*2 + 17t)/2

= (20t + 17t)/2

= 37t/2

but it is given that they planted 111 trees together

so 37t/2 should be equal to 111

37t/2 = 111

=> 37t = 111*2 = 222

=> t = 222/37 = 6.

Thus, it takes 6 hours for both of them to plant 111 trees together.

4 0
2 years ago
Allison is 5 ft tall. One afternoon her shadow measured 2.5 ft. At the same time, the shadow of her favorite tree was 14.5 ft. W
luda_lava [24]
At the same time, the sun casts a shadow on the girl and tree creating two similar right triangles. You can use a ratio of girl's height to her shadow will be the same as the tree's height to it's shadow.

5 / 2.5 = T / 14.5
2 = T / 14.5
2 * 14.5 = T
29 ft = Tree


8 0
2 years ago
The equation y = 14x represents the number of pages Printer A can print over time, where y is the number of pages and x is time
Crank
Printer A
y = 14x

Printer B
Time(min)       |  3  |  5  |  8  |  12  |
Pages printed | 48 | 80 | 128 | 192 |

Printer A prints 14(1) = 14 pages per minute.
Printer B prints 48/3 = 16 pages per minute.

The printer that prints at a faster rate is printer B.
8 0
2 years ago
Read 2 more answers
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