In triangle ABC, what is the length of side b if A = 101°, a = 12, c = 5? Round the answer to the nearest hundredth.

Mr. vasquez determines that the area of a bathroom is in his house is 25 square feet less than one-fifth of the area of the living room if the bathroom measures 35 square feet what is the area of the living room

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

Solve each quadratic equation by factoring and using the zero product property. [tex]x^2+6x+8=0[/tex]