Quadrilateral abcd is inscribed in a circle. what is the measure of angle c? show your work.

92

Step-by-step explanation:

Remark

This kind of quadrilateral (one inscribed in a circle) is called a cyclic quadrilateral.

It has the unusual properties of opposite angles being supplementary. That means they add to 180o

Givens

B + D = 180 degrees

C + A = 180 degrees

Solution

Work with <B + <D = 180o

x + 24 + x + 10 = 180                  Collect like terms on the left.

2x + 34 = 180                              Subtract 34 for both sides

2x +34-34 = 180-34                    Combine

2x = 146                                      Divide by 2

x = 146/2                

x = 73

Now work with A  + C = 180

A = x + 15

A = 73 + 15

A = 88

88 + C = 180                             Subtract 88 from both sides.

88 - 88 + C = 180 - 88

C = 92

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

13cm

step-by-step explanation:

(apex)