The diagram shows quadrilateral MNPQ.

Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.

What is the length of line segment MQ?
8 units
10 units
11 units
15 units

Answers

Answer 1

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

Answer 2

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

Learn more about Geometry click;

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The Diagram Shows Quadrilateral MNPQ.Quadrilateral M N P Q Is Shown. Sides N P And M Q Are Parallel.

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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[tex]\Rightarrow 412\ m^3=412\times 1000000=412000000\ cm^3[/tex]

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

I hope this helps!

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Answers

Answer:

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Step-by-step explanation:

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The diagram shows quadrilateral MNPQ. Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6. What is the length of line segment MQ? 8 units 10 units 11 units 15 units

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The diagram shows quadrilateral MNPQ.

Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.

What is the length of line segment MQ?
8 units
10 units
11 units
15 units