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Len [333]
3 years ago
9

In the diagram A, B, and C are the points on the circle. Use the diagram to prove the theorem which states that:

Mathematics
1 answer:
nevsk [136]3 years ago
8 0

9514 1404 393

Explanation:

Here's one way to go at it.

Draw segments AB and CO. Define angles as follows. (The triangles with sides that are radii are all isosceles, so their base angles are congruent.)

  x = angle OAB = angle OBA

  y = angle OAC = angle OCA

  z = angle OBC = angle OCB

Consider the angles at each of the points A, B, C.

At A, we have ...

  angle CAB = x + y

At B, we have ...

  angle CBA = x + z

At C, we have ...

  angle ACB = y + z

The sum of the angles of triangle ABC is 180°, as is the sum of angles in triangle ABO. This gives ...

  x + x + ∠AOB = (x+y) +(x+z) +(y+z)

  ∠AOB = 2(y+z) = 2∠ACB

This shows ∠AOB = 2×∠C, as required.

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Using the linear combination method what is the solution to the system of linear equations 7x - 2y = -20 and 9x + 4y = -6
Ghella [55]

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Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rented a car on
elena55 [62]

9514 1404 393

Answer:

  f(x) = 0.15x +25

Step-by-step explanation:

We are given two points:

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The slope is given by ...

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3 years ago
If the perimeter of the top of desk is 54 inches the length of the desk is
allsm [11]
Formula: 2width+2length=perimeter


length=15inches

width=?

Perimeter=54inches

2*15=30 (There are two sides for the length)

54-30=24

24/2=12 (There are two sides for the width)

The width of the desk is 15 inches

----
-Geekhawk 

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