Determine the probability of each compound event described. show work.

1. spinning a 3 and rolling a 3

2. spinning an odd number and rolling a 5 or 6

3. spinning an even number and rolling an odd number

4. spinning an even number and rolling an odd number

5. spinning a 3 or 7 and rolling an odd number

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

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

Find the value of x. give reasons to justify your solutions! l, m ∈ kn