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iris [78.8K]
3 years ago
7

Which figure is a counterexample to the following statement? A quadrilateral with one pair of parallel sides is a parallelogram.

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer: Trapezoid

A trapezoid is a quadrilateral with exactly one pair of parallel sides. The other two opposite sides are not parallel. In order to have a parallelogram, we need two pairs of opposite parallel sides (not just one pair). Since a trapezoid is not a parallelogram, this means this is a counterexample to the original statement.

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What is the volume of a rectangular prism with a height of 22 1/2 centimeters and a base area of 562 1/2 square centimeters?
umka2103 [35]

The correct answer is D. You can solve this by multiplying the values.

7 0
3 years ago
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The school band collected $2,892 for 480 tickets sold to their spring concert. Adult tickets were $8 each and student tickets we
kakasveta [241]
A + s = 480......s = 480 - a
8a + 5s = 2892

8a + 5(480 - a) = 2892
8a + 2400 - 5a = 2892
8a - 5a = 2892 - 2400
3a = 492
a = 492/3
a = 164 <=== there were 164 adult tickets sold
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4 years ago
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Please help thank you so much
Licemer1 [7]

Answer:

\Huge\boxed{x=15}

Step-by-step explanation:

Hello There!

The angle labeled 6x is a right angle

If an angle is formed using the diameter of a circle then the opposite angle of that side is a right angle

So 6x = 90

isolate the variable

divide each side by 6

90/6= 15

6x/6=x

we're left with x = 15

5 0
3 years ago
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Identify the equation that dose not belong with the other three explain your reasoning pls
arsen [322]
If you take a moment and solve each equation (find the value
of the letter in each one), it'll jump out at you.

Here, let me do it for you.  Why should you tire yourself.

5x = 20 . . . . . x = 4

4b = 7 . . . . . . b = 7/4

8w = 32 . . . . . w = 4

12y = 48 . . . . . y = 4

The second equation is not like the others.
It's the only one where the letter is not equal to  4 .
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3 years ago
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$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the
Marianna [84]

Answer:

<u>Equation</u>:  F=1500(1.0025)^{12t}

<u>The balance after 5 years is:  $1742.43</u>

<u></u>

Step-by-step explanation:

This is a compound growth problem . THe formula is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}

Now, we want balance after 5 years, so t = 5, substituting, we get:

F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43

<u>The balance after 5 years is:  $1742.43</u>

3 0
3 years ago
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