Liam is saving up for a new cell phone. He uses the equation P = [ + HB, where P is the cost of
the phone, I is the amount of money he started with, H is the number of hours he babysits,
and B is his hourly rate for babysitting. Which expression is equal to H, the number of hours
Liam will need to babysit to save enough money for a cell phone?

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

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

Isaac wants the equation below to have no solution when the missing number is placed in the box. which number should he place in the box?