The possible values for the third side's measurement are3 < x < 17. Any two sides of a triangle's lengths added together must be longer than the third side.
<h3>How do you determine a triangle's perimeter?</h3>
- The third side of a triangle must always have a length that is between (but not exactly) the sum and the difference of the other two sides.
- Any two sides of a triangle's lengths added together must be longer than the third side.
- Each side of a triangle with sides a, b, and c must fall within the difference and total of the other two.
- For instance, side a must be between b-c and b+c or b-cab+c.
- The third side must fall between 10 -7 = 3 and 10 + 7 = 17.
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Answer:
A)29 and B) 21,
Step-by-step explanation:
First,in the sequence
, the parameter
must to be a integer.
Second, we need to solve the equations by
.

All the option in the problem represent an
Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.
For A)

For B)

For C)

For D)

Only A) and B) only A and B meet the requirement
To find out how much she earned hourly, all we need to do is divide 312 and 39
312 ÷ 39 = 8
Therefore, she was paid $8 per hour
Hope this helps!
Answer:
$210
Step-by-step explanation:
The first thing we can do is to add the $25 back on to the total cost.
25 + 115 = 140.
We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.
Now, to find the original price we can use this equation:

X represents the original price.
To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

Now you can solve:

We can check this answer by multiplying 210 by 2/3
(210)(2/3) = 140
Remember, Sam used a gift certificate for $25
140 - 25 = $115
Therefore, the original price of the skis is $210.
<em>I hope this helps!!</em>
<em>- Kay :)</em>