The ratio of the perimeter of triangle PQRto the perimeter of rectangle ABCD is 5:9. B (x - 3) cm (3x - 5) cm (4x - 21 cm (4x + 3) cm R (2x + 2) cm a. Write algebraic expressions for the perimeters of triangle PQR and rectangle ABCD. b. Write a linear equation using the algebraic expressions written in part a. Then solve for x. c. Find the area of rectangle ABCD.​

The probability of winning something on a single play at a slot machine is 0.11. after 4 plays on the slot machine, what is the probability of winning at least once

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

Write the expression in simplified radical form. show all steps and work including any foil method work. (hint: use the conjugate. no decimal answers.) (9-2√3)/(12+√3)