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miskamm [114]
3 years ago
10

Given the median QR and trapezoid MOPN, what is the value of x?

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

D. 5

Step-by-step explanation:

Based on the midsegment theorem of a trapezoid, thus:

QR = ½(OP + MN)

Substitute

27 = ½((5x - 7) + (6x + 6))

27 = ½(5x - 7 + 6x + 6)

Add like terms

27 = ½(11x - 1)

Multiply both sides by 2

2*27 = 11x - 1

54 = 11x - 1

54 + 1 = 11x

55 = 11x

55/11 = x

5 = x

x = 5

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Please help! Thank you! Also, please explain thank you!
viva [34]

Answer:

2x=10*11

2x=110

so

x=55

5 0
3 years ago
Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?
pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.                

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

24^2 + 32^2\\=576 + 1024\\=1600\\=40^2

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0
3 years ago
Read 2 more answers
The ordered pair (−3,−6) is a solution for the first equation, and it is a solution for the second equation. Therefore, (−3,−6)​
Alisiya [41]
False. If x=-3 and y=-6 and you substitute them into the equation they do not add up

7 0
3 years ago
Read 2 more answers
which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale)
horrorfan [7]

Answer:

__

RU is a perpendicular bisector

5 0
3 years ago
Need help with this problem
PSYCHO15rus [73]

Blue (b): 1500

Green (g): 1000

Purple: (1/2)Green = (1/2)1000 = 500       THIS INFORMATION IS NOT NEEDED!

b/g = 1500/1000 = 1.5

6 0
3 years ago
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