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Charra [1.4K]
3 years ago
6

The coordinates of the vertices of quadrilateral PQRS are P(−4, 2) , Q(3, 4) , R(5, 0) , and S(−3, −2) .

Mathematics
2 answers:
allsm [11]3 years ago
6 0
It's c. PQRS is not rectangle because is has only 2 right angles.
One ∠PRQ and the other one is ∠SPR.
In order to be rectangle all 4 angles needs to be right angles.
daser333 [38]3 years ago
3 0

Answer:

a. Quadrilateral PQRS  is not a rectangle because it has only one right angle.

Step-by-step explanation:


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Vlad1618 [11]

Answer:

9) 6.3 units

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12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

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x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

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m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

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{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

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Answer:

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Step-by-step explanation:

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