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Amiraneli [1.4K]
3 years ago
13

The table shows the rates for sending text messages. Are the rates proportional? Explain.

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

Remember in order for the rates to be proportional it has to have a constant rate of change and it has to go through the origin if graphed

For one this has a constant rate of change which is 3 dollars per 25 messages

Now we just have to find out if it would go through the origin (0,0)

To do so we subtract 3 dollars and then 25 messages

6-3=3

50 - 25 =25

then again 25-25=0

3-3=0

concluding that (0,0) is a solution

Thus meaning that this is a proportional relationship

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The triangle and square have equal perimeters. What is the perimeter of the triangle?
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Answer:

E. 16

Step-by-step explanation:

Perimeter of the triangle = 4x+4x+(x+7)

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We know that the perimeters are equal so we can form an equation to solve for x:

9x+7 = 4x + 12

Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:

9x+7-7-4x=12+4x-4x-7

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Now we divide both sides by 5 to get:

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Now we can use this value to figure out the perimeter of the triangle:

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Hope this helped!

6 0
2 years ago
In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is
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Answer:

<h2>altitude = 5</h2>

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Look at the picture.

Use the Pythagorean theorem:

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6 0
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8 0
2 years ago
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