What is the most specific name for a quadrilateral with one pair of parallel sides

Answers

Answer 1
Answer: The answer is a trapezoid.
Answer 2
Answer: A quadrilateral with one pair of parallel sides is a trapezoid.

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A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the cost of one chair, represents this situation. Plug in the values from the set {50, 100, 150} to find the correct value of x.The value of x that makes the equation true is . So, the cost of a chair is and the cost of a table is .
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Explain how you can use a number line to show that 5/8 is greater than 3/8

Answers

Hi!

So here's how you'd visualize it!

<---------|---------|---------|---------|---------|---->
  0      1/8       2/8       3/8       4/8       5/8

As represented in the number line, 5/8 is farther up the number line than 3/8, meaning that 5/8 is larger than 3/8.

-Hope this helps!

A rectangular prism has a volume of 105 m3. This prism is enlarged using a scale factor of 4. What is the volume of the enlarged prism?


Please Explain...

Answers

The volume of the new prism is 6,720 m³ !

Here's how it works:

The volume of any rectangular prism is (length x width x height).

If you double each dimension, then  the new volume is

(2 x length) x (2 x width) x (2 x height) = 8 x (length x width x height) .
That's 8 times the original volume.
Where did the ' 8 ' come from ?
It's the cube of 2 .

In this problem, we multiplied each dimension by 4, so the new volume is

(4 x length) x (4 x width) x (4 x height) = 64 x (length x width x height) .
That's 64 times the original volume.
Where did the ' 64 ' come from ?
It's the cube of 4 .
We didn't really have to figure it out.  We knew that if you multiply each dimension
by the same number, then you multiply the volume by the cube of that number.
That's a good thing to remember.

The original volume was 105 m³ .

The new volume is (4³) x (105) = (64) x (105) = 6,720 m³


Identify all of the constants of the expression 2+6a

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constants don't change
2 is the only constant
6a is not, because a could be 1 or 4 or something

Can someone put this in order

Answers

The first has value 2500*(1+.05*9)=3625.  The second, similarly, has value 4160, and the third, 3400.  Thus, the order, from least to greatest, is third, first, second.

What is another way to write 42 + 63

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63+42? 21+21+31.5+31.5=63+42=105

If an angle supplementary to a right angle is (always,sometimes, or never) a right angle

Answers

Supplementary angles equal 180 degrees combined. A right angle equals 90 degrees, so in order to equal 180 you need 90 more degrees. The answer is always ☺