Which statement explains how you could use coordinate geometry to prove that quadrilateral abcd is a parallelogram?
-5
-4
-3
-2
-1
t
1
2
3
4
prove that all sides are congruent and have slopes that are opposite reciprocals
prove that segments ad and ab are congruent and parallel
prove that opposite sides are congruent and have equal slopes
prove that segments bc and cd are congruent and parallel

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Acylinder has volume 45π and radius 3. what is it’s height?

Atorch and a battery cost 2.50 altogether. the torch costs 1.50 more than the battery. what fraction of the total price is the torch? give your answer in its simplest form.