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3 years ago

Drag the missing statements and reasons to the correct spot to complete the proof

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

4 0

Answer:

1. Segment MN is congruent to segment OP (Given)

2. Angle MNP is congruent to angle OPN (Given)

3. Segment NP is congruent to segment NP (Reflexive prop.)

4. Triangle MPN is congruent to triangle ONP (SAS)

5. Segment MP is congruent to segment NO (CPCTC)

Hope this helps! :)

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NEED HELP FOR A CHAPTER REVIEW TOMORROW!!! Name the points. Thank you!!!!

Stella [2.4K]

It’s and equation stating the fact that the answer is 21

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4 years ago

It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

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3 years ago

Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, sp

Inga [223]

Multiply the amount hiked by 2.

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3 years ago

52= -5x -3 can you solve for x

Roman55 [17]

Answer:

x = -11

Step-by-step explanation:

First, add three to both sides on the equation. Then, your equation becomes 55= -5x. Finally, divide both sides by -5 to get -11 = x. So, x equals -11. Hope this helps!

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4 years ago

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Janette has 6 puppies. she gives away 3. how many does she have left?

kvasek [131]

Um 3 unless she gave them away to her brother then she still would have 6

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3 years ago