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Ierofanga [76]
3 years ago
6

Find the length of base PQ in the trapezoid.

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

PQ = 20

Step-by-step explanation:

Theorem:  The length of the median of a trapezoid is the average of the base lengths.

\frac{PQ + 12}{2}  = 16

PQ + 12 = 32

PQ = 20

See how easy that is if you know the theorem!

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The height of a trapezoid can be expressed as x – 4, while the bases can be expressed as x + 4 and x + 9. if the area of the tra
AlexFokin [52]

Answer: 19 cm

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

A_{trapezoid}=\frac{b_{1}+b_{2}}{2}*h

                99 = \frac{(x+4 + x+9}{2}*(x - 4)

                99 = \frac{(2x + 13}{2}*(x - 4)

              198 = (2x + 13)(x - 4)

              198 = 2x² + 5x - 52

                 0 = 2x² + 5x - 250

                 0 = 2x²- 20x + 25x - 250

                 0 = 2x(x - 10) + 25( x - 10)

                 0 = (2x + 25)(x - 10)

0 = 2x + 25     or        0 = x - 10

  -\frac{25}{2} = x      or          x = 10

Since length cannot be negative, -\frac{25}{2} can be disregarded

Larger base: x + 9  = 10 + 9   = 19

5 0
3 years ago
Read 2 more answers
Is the answer a, b, c, or d?
lbvjy [14]
I hope this helps you

6 0
3 years ago
.
babunello [35]
<span>From the problem, you can get this equation:
Jane is 2 years older than Sally
J=z+2
David is 4 times older than Jane.
D=4J

</span>Write two equivalent expressions that represent David’s age in terms of Sally’s age, z, and explain how the two expressions relate to one another.<span>Sally is z years old.
From the 2 equation above, you can get:
</span>D=4J
D=4(z+2)
D=4z+8

D-8=4z
(D-8)/4=z
The two equivalent expression would be D=4z+8 and (D-8)/4=z

The expression that more usefull would be D=4z+8 if you want to determine David age.
4 0
4 years ago
Which equation describes this line?
kvasek [131]

Answer:

I think it's c but I'm not 100 percent sure

7 0
3 years ago
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A laptop carry bag cost $30. The total cost will include an 8% sales tax. Which expression can be used in calculating the total
Tamiku [17]

Answer:

30+8%=C

Step-by-step explanation:

place the cost of the bag first then add the precent and make it equal to C wich is cost

5 0
3 years ago
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