MATHEMATICS MIDDLE SCHOOL

In triangle XYZ, the length of side XY is 26 mm and the length of side YZ is 37 mm. Which of the following could be the length of side XZ?A. 68 mm
B. 44 mm
C. 9 mm
D. 65 mm

Answers

Answer 1
Answer: A). 68
D). 65
If the third side was either of these, then (26 + 37) = 63 could not
reach between the ends of it.  A triangle could not be formed.

C). 9
If the third side was this, then it could not reach between the ends
of the 26 and the 37 . . . they're always AT LEAST 11 mm apart.

B). 44
This is the ONLY one on the list that can make a triangle
along with 26 and 37.
Answer 2
Answer: To solve this, you can use the triangle inequality theorem: Side 1 + Side 2 must be greater than Side 3. So, plug in 26 for Side 1 and 37 for Side 2, add them
together, and see which number is smaller than 27 + 37.

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Find the value of 3/7 of 64

Answers

Answer:

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Step-by-step explanation:

You would divide 64 by 7 and multiply that by 3.

Each day, about 75,000 people visit Paris, France. Use the Commutative Property to write two equivalent expressions that could be used to find the number of people that visit over a 5 day period.

Answers

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There are 7 people at a party. If each person shakes the hand of everyone exactly once, how many handshakes will take place

Answers

Call the number of people n.

Looking at the first person, they can shake hands with n-1 other people (since they can't shake hands with themselves.) 

For the second person, they can shake hands with n-2 other people. (They can't shake hands with themselves and they already shook with Person 1, on Person 1's turn.

If we carry on this way we see that the total number of shakes is given by:
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There will be 42 handshakes

What is 791=1/2h (26.5+30)

Answers

Following the order of PEMDAS, start with what's inside of the parenthesis, adding 26.5 with 30 ---> 791 = 1/2h(56.5)
You need to get h on one side of the equation by itself. To do this, divide the whole equation by .5 (which is the same as 1/2), canceling out the 1/2 on one side of the equation. 791/.5 = 1/2h(56.5)/.5 ----> 1582 = h(56.5)
Next, divide the entire equation again by 56.5. 1582/56.5 = h(56.5)/56.5 
---> 28 = h
Your final answer is h = 28. To check this, plug 28 into the equation where the value h is. 

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Answers

Answer:

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Step-by-step explanation:

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Answers

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