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.

Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2 . (1 point) 2 square root of 8 8 square root of 2 8 square root of 6 6 square root of 8

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

William invested $5000 in an account that earns 3.8% interest, compounded annually. the formula for compound interest is a(t) = p(1 + i)t. how much did william have in the account after 6 years? (apex)