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sammy [17]
3 years ago
11

Each polygon pair is similar. Find the missing side length

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

I'll do problem 1 to get you started.

The vertical sides are 3 and x for the left and right figures.

The horizontal sides are 15 and 60 for the left and right figures.

The corresponding sides form fractions which are equal (due to the nature of the similar polygons)

3/x = 15/60

3*60 = x*15 ... cross multiply

180 = 15x

15x = 180

x = 180/15 .... divide both sides by 15

x = 12

----------

Another way you can see this is note how the jump from 15 to 60 is "times 4", so the jump from 3 to x must also be "times 4" to keep the same proportion

3 ---> x = 3*4 = 12

Or you could set up the proportion

60/15 = x/3

4 = x/3

x/3 = 4

x = 3*4

x = 12

-----------

<h3>Final Answer: 12</h3>
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Answer:

Plug the x-values into the equation to get the y values. This will give you coordinates that you can graph a line with.

Step-by-step explanation:

For x = -5:  y = -3 - 2 * (-5) = 7, so the coordinates are (-5, 7)

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(Etc.)

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8 0
2 years ago
The price for 11 ballpoint pens is $11.77. Which of the following represents the same price per pen? A. 4 pens for $4.44 B. 5 pe
Harrizon [31]
First we need to know how much each pen costs.  So we take 11.77 and divide it by 11.  That gives us 1.07 per pen.  So answer choice A has 4 pens for 4.44, so we need to multiply 1.07 x 4.  That gives you 4.28, so we know that isn't the correct answer.  For option B, we need to multiply 1.07 x 5.  That is 5.35, so that also can't be the answer.  For C, we need to do 1.07 x 6, and that gives us 6.42.  So we know the correct answer is option C.
3 0
3 years ago
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What is the answer to this along with steps to doing it?
pashok25 [27]
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8 0
3 years ago
Find the value of using identities 996^2
Svetlanka [38]

Answer:

992,016

Step-by-step explanation:

{996}^{2}  \\  =  {(1000 - 4)}^{2}  \\  =  {1000}^{2}  - 2 \times 1000 \times 4 +  {4}^{2}  \\  = 1000000 - 8000 + 16 \\  = 1000016 - 8000 \\  = 992,016 \\

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3 years ago
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goldfiish [28.3K]
Answer: 7/6, 1 and 1/6, or 1.16


Step by step explanation:

2/3 + 1/2

4+3/6

7/6
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3 years ago
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