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maksim [4K]
3 years ago
13

If one pair of adjacent sides of a parallelogram is congruent, then the parallelogram must be a __________.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

It must be a rhombus, because that's the parallelogram with all sides equal.

It could be a square, but it doesn't have to be.  A square is a rhombus
with special angles.


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4) If rectangle WXYZ has slid three units to the right what will be the coordinates of point W?
uranmaximum [27]
D

Its now in (3,2) if goes right 3 points then x becomes 6 so (6,2)
4 0
3 years ago
Read 2 more answers
1. Find the slope of the line passing through the points (-3,7) and (7,7)
tatiyna

Answer:

1.=0

2.=undefined

Step-by-step explanation:

7-7/7--3

0/10

0

-5-3/-4-(-4)

-8/0

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7 0
2 years ago
Read 2 more answers
Which equation can be used to determine the distance between the origin and (–2, –4)?
Mashutka [201]
When trying to determine the distance between two points, one would use the distance formula.

The distance formula is attached above and all you need to do is plug in the points in order to get the distance.

For example, if you were to plug them in, you would get:

√(0+4)^2 + (0+2)^2

6 0
3 years ago
9 friends are lining up. Joe, Susan, John, and Meredith must be beside each other. How many ways can they line up?
ZanzabumX [31]
<h3>Answer:  17,280</h3>

This is one single number slightly over 17 thousand.

You may need to erase the comma when typing the answer in.

=========================================================

Explanation:

Let's say that another person steps in for Joe, Susan, John, and Meredith. I'll refer to this person as the teacher (perhaps these 9 friends are students on a field trip).

The 9 friends drops to 9-4 = 5 people when those four named people leave the group temporarily. Then it bumps up to 5+1 = 6 people when the teacher steps in. Wherever the teacher is located, the four friends that left will replace the teacher. This guarantees that those four friends stick together.

There are 6! = 6*5*4*3*2*1 = 720 ways to arrange those 6 people. The exclamation mark is a factorial symbol.

Within any of those 720 permutations, we have 4! = 4*3*2*1 = 24 ways to arrange those group of named people when they come back to replace the teacher.

So overall the answer is 4!*6! = 24*720 = 17,280

You may need to erase the comma when typing the answer in.

-------------

Side note: There are 9! = 362,880 ways to arrange all nine friends regardless if those four mentioned people stick together or not. We see that they stick together roughly (17,280)/(362,880) = 0.0476 = 4.76% of the time.

6 0
3 years ago
Perform the indicated operation to write given polynomial in standard form: (x^3+2x^2 − 3x − 1) +(4 − x − x^3)
Rzqust [24]

Answer:

\left(x^3+2x^2-3x-1\right)+\left(4-x-x^3\right)=2x^2-4x+3

Step-by-step explanation:

To write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write.

To add the polynomials you need to:

Remove parentheses

\left(x^3+2x^2-3x-1\right)+\left(4-x-x^3\right)=x^3+2x^2-3x-1+4-x-x^3

Group like terms

\left(x^3+2x^2-3x-1\right)+\left(4-x-x^3\right)=x^3-x^3+2x^2-3x-x-1+4

Add similar elements

\left(x^3+2x^2-3x-1\right)+\left(4-x-x^3\right)=2x^2-3x-x-1+4\\\left(x^3+2x^2-3x-1\right)+\left(4-x-x^3\right)=2x^2-4x-1+4\\\left(x^3+2x^2-3x-1\right)+\left(4-x-x^3\right)=2x^2-4x+3

5 0
4 years ago
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