Given b = 12, c = 15 and a = 60° in triangle abc, use the law of cosines to solve for a. fill in the blank(s) to complete each step. round your answer to the nearest hundredth. a2 = a0 + 152 - 2a1(15) cos a2°a2 = 144 + 225 - 360(a3)a2 = a4a = a5

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

Consider the function represented by the equation 1/2 j + 1/4 k equals 3 which shows the equation written in function notation with j as the independent variable

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?