∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 2 x + 1 ) ∘ ∠A=(2x+1) ∘ and m ∠ B = ( x + 10 ) ∘ ∠B=(x+10) ∘ , then find the value of x.

1. are the triangles similar and if so why? what is the value of x? show your work.

Joseph haydn pet store offers wide variety of leashes for dogs. the store purchases one popular type of leash from its manufacturer for $4.38 each. joseph haydn pets marks up leashes at a rate of 238% of cost. what is the retail price of the popular leash?

Liz had 140 pens and inna had 100 pens. after inna gave liz some pens, liz had 3 times as many pens as inna. how many pens did inna give liz?