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2 years ago

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary

1 answer:

6 0

As anoutline, angles O and Q are inscribed angles which are measured by one-half of its intercepted arc.
angle O = 1/2 arc RQP
angle Q = 1/2 arc ROP

so arcs RQP and ROP together make up the entire circle which has 360 degrees.

so angles O and Q is 1/2 (360) = 180 degrees (supplementary angles).

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25 points

elixir [45]

C. 4x + y = 21

4(3) + 9 = 21
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2 years ago

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A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho

MrRa [10]

Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

$Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16$

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.

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3 years ago

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I need help on this.

tiny-mole [99]

Step-by-step explanation:

Given

22m - 33 = 11( 2m) - 11(3)

= 11 ( 2m - 3 )

Hope it helps :)

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2 years ago

Express the area of the entire rectangle.<br> Your answer should be a polynomial in standard form.

Alchen [17]

Unfortunately I do not know the rectangle you are speaking of, if you could provide the rectangle I would be happy to help.

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3 years ago

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AfilCa [17]

Answer:

x> -1

Step-by-step explanation:

Open circle means > or <

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2 years ago