Evaluate the diagram below.

find the values of x and y.

x = 22 degrees.

y = 40 degrees.

Step-by-step explanation:

The inside angles add up to 180 degrees, therefore:

6x + 4x - 40 = 180

10x = 180 + 40 = 220

x = 22 degrees

In the same way:

3y + y + 20 = 180

4y = 160

y = 40 degrees.

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

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.