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salantis [7]
4 years ago
11

Felice knows that segment RS || segment QT. She wants to use the definition of a parallelogram to prove that the quadrilateral i

s a parallelogram. Which equation can she use?

Mathematics
1 answer:
tangare [24]4 years ago
8 0

Answer:

  see below

Step-by-step explanation:

The definition of a parallelogram is that opposite sides of the quadrilateral are parallel. Felice already knows one pair of opposite sides is parallel. By showing the slope of RQ is the same as the slope of ST, she can show the other pair of opposite sides is parallel, hence the figure is a parallelogram.

__

The other answer choices are essentially nonsense.

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Combine like terms: X + X - X + Y + Y - Z + Z - Z
konstantin123 [22]
X+x-x+y+y-z+z-z is equal to x+2y-z (combining like terms)
8 0
3 years ago
A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrus
marin [14]

Answer : Greatest number of identical dental care bags the dentist can make with the least items leftover is 1.

Number of bags will be 2,4,3 respectively.

Explanation:

Number of tubes of toothpaste = 56

Number of packets of floss = 112

Number of toothbrushes = 85

So, Greatest number of identical dental care bags the dentist can make with the least amount of items leftover from toothbrush  = H.C.F of 56,112, 85=   1   ( ∵ as they are coprime to each other )

Since there is no common factor among 56,112,85 but there is common factor between 56 and 112 i.e. 56 remaining bags from toothbrushes will be 85-56=29 .

So we consider 28 ,

Now, 56 can be written as 28×2

112 can be written as  28×4 and

84 can be written as 28× 3

So, there can be 28 bags in which all the three materials can be present  and there is no leftover from toothpaste and floss but there is leftover from toothbrushes only as we consider 84 instead of 85 to get divisible by 28 so we get the common factor easily.

so, there will be 2 two bags for toothpastes and 4 bags for floss and 3 bags for toothbrushes.

8 0
3 years ago
A biker travels at a rate of 20 miles per hour. Calculate
kow [346]

Answer:

60 miles

Step-by-step explanation:

20 miles times 3

3 0
3 years ago
Read 2 more answers
Look at this function: x y −3 −8 −2 −6 −1 −4 0 0 Matt said that the function is linear. Justine said that the function is nonlin
wariber [46]

<u>Answer:</u>

Justine is correct, because the point (0,0) does not line up with the straight line that contains the other points.


<u>Step-by-step explanation:</u>

From points (-3,-8), to (-1,-4) the points make a straight line because the x coordinates increase by 1 while the y coordinates increase by 2. Up until the last y coordinate. While the x coordinate follows its pattern, the y coordinate increases by 4 when it's supposed to increase by 2.


<u>Note:</u>

Good luck with your quiz, hope I helped!

6 0
3 years ago
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An investment earn 6% simple interest. What amount of principal is need to have $3000 after 5 years
irakobra [83]

Answer:

The amount of $1000 principal is needed to have $3000 after 5 years.

Step-by-step explanation:

As the interest formula is

I=Prt

Where

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Substituting the following values in the interest formula and solve for P

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r = 6% = 6/100 = 0.06

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so the equation becomes

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switch both sides

P\left(0.06\right)\left(5\right)=3000

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Therefore, the amount of $1000 principal is needed to have $3000 after 5 years.

6 0
3 years ago
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