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Arturiano [62]
3 years ago
7

Quadrilateral ABCD is inscribed in circle Pas shown. Which statement is necessarily true?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Given:

Quadrilateral ABCD is inscribed in a circle P.

To find:

Which statement is necessarily true.

Solution:

Quadrilateral ABCD is inscribed in a circle P.

Therefore ABCD is a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles form a supplementary angles.

⇒ m∠A + m∠C = 180° --------- (1)

⇒ m∠B + m∠D = 180° --------- (2)

By (1) and (2),

⇒ m∠A + m∠C = m∠B + m∠D

This statement is necessarily true for the quadrilateral ABCD in circle P.

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3 years ago
-3x-y=-17 4x + 2 y equals 20
ExtremeBDS [4]
-3x - y = -17
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multiply one part of the equation so that we can be able to use the process of elimination.

(-3x - y = -17)2
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Now we have:

-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14

Divide -2 on both sides.

-2x = -14
/-2       /-2

x = -7.


=============================================

To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20


4x + 2y = 20

4(-7) + 2y = 20

-28 + 2y = 20

Add 28 on both sides

-28 + 2y = 20
+28          +28
---------------------
2y = 48
/2      /2

y = 24.


The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.

You may have to do this by yourself :P

Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!










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2 years ago
Interior and Exterior Triangle Angles
k0ka [10]
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3 years ago
Light travels at a rate of 3.0 x 108 meters per second. If the earth is 1.5 x 1011 meters away from the sun, how long does it ta
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3 0
3 years ago
Read 2 more answers
What’s the answer to this? I need to do this for extra credit and I have no idea what this is
sergiy2304 [10]

9514 1404 393

Answer:

  20

Step-by-step explanation:

As with any evaluation problem, take it step by step according to the order of operations.

The first thing you need to do here is compute a#b.

The given definition can be simplified a bit for evaluation purposes:

  a#b = a²b -ab² = ab(a -b)

Then for a=3 and b=-2, you have ...

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Now, you are in a position to evaluate the expression you're asked for.

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4 0
3 years ago
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