Atriangle has 180 degrees. two angles of a triangle are the same size. the third angle is 12 degrees smaller than the first two angles. what is the degree of the angles?

The two same-size angles are 64°; the third angle is 52°.

Step-by-step explanation:

Let x represent each of the same-size angles. Then the smaller angle is (x-12). The sum of angles is 180°, so we have ...

... x + x + (x-12) = 180

... 3x -12 = 180 . . . . . simplify

... x - 4 = 60 . . . . divide by 3

... x = 64 . . . . . . . add 4

... (x-12) = 64-12 = 52 . . . . . find the third angle

The same-size angles are 64°; the third angle is 52°.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.