Complete the paragraph proof to prove the statement. Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF

Prove: m∠ABC = m∠GHI

We are given that angle ABC and
are congruent, and that angle GHI and angle DEF are congruent. By the
, the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to
.

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a. the profit when the unit price is equal to 0b. the unit price(s) when the profit is equal to 0c. the profit when the unit price is greatestd. the unit price(s) when profit is greatest

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

For what type of equity loan are you lent a lump sum, which is to be paid within a certain period of time? a. a line of credit b. equity c. a second mortgage d. an amortization