Alex made a sketch for a homemade soccer goal he plans to build. the goal will be in the shape of a triangular prism. the legs of the right triangles at the sides of his goal measure 5 ft and 8 ft, and the opening along the front is 25 ft. how much space is contained within this goal?

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2

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.