Mario tried to solve an equation step by step. \begin{aligned} \dfrac43&=q+\dfrac13 \dfrac43-\dfrac13&=q+\dfrac13-\ dfrac13&\green{\text{Step } 1} \dfrac23&=q&\blue{\text{Ste p } 2} \end{aligned} 3 4 3 4 − 3 1 3 2 =q+ 3 1 =q+ 3 1 − 3 1 =q Step 1 Step 2 Find Mario's mistake.

What are the steps to solving the inequality 3b + 8 ≥ 14?

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

Suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet.