In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC: DC : 4 :1  . Find the length of DC algebraically. Show your work below.

Angles r and s are complementary. the measure of angle r is 31 degrees. which equation can be used to find angle s?

Which of the following is the best first step in solving the equation below? 4+2㏒³x=17

Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c. q-p d. p-q