Write the standard equation of the circle with the given center is (0,0) and radius is 2.5

The answer to your question is    x² + y² = 2.5²

Step-by-step explanation:

Data

Center = (0, 0)

radius = 2.5

If we have the center of a circle and its radius, to write the standard equation is so simple, just substitute the values in the formula.

Standard equation of a circle

                          (x - h)² + (y - k)² = r²

-Substitution

     h = 0   k = 0

                          (x - 0)² + (y - 0)² = 2.5²

or                        x² + y² = 2.5²

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180