Since it's founding, a volunteer group has restored 50 houses. it plans to restore 15 houses per year in the future. write an equation that models the
total number n of restored houses t years from now.

Which is a logical conclusion based on the given information? a. figure abcd is a rhombus by the definition of a rhombus. b. segment ac is congruent to segment dc by cpctc. c. angle acb is congruent to angle adc by the angle-side-angle theorem. d. triangle acd is congruent to triangle cab by the hypotenuse-leg theorem.

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]

Find the product. type your answer in the space provided. use / for a fraction bar (example: 1/2) and ^ for an exponent (example: x^5). do not put spaces in your answer. (x -1 y 5)^2 · (2xy -2)^5