The total amount of recycled material in the second half of the year increased by 6% from the total amount of recycled material in the first half of the year. In the second half of the year, the amount of recycled paper was down 3% from the first half of the year, but the amount of recycled glass was up 12% from the first half of the year. The statements above were reported at the first recycling board meeting of the subsequent year. Based on the two statements, what can be concluded about the ratio of the amount of paper to the amount of glass recycled during the second half of the year

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc