Reasoning through steps of a proof
given: m || cb
prove: m∠abc + m∠bac + m∠acb = 180°

which statement justifies that angle xab is congruent to angle abc?

a) corresponding angles of parallel lines cut by a transversal are congruent.
b) vertical angles are congruent.
c) same-side interior angles of parallel lines cut by a transversal are supplementary.
d) alternate interior angles of parallel lines cut by a transversal are congruent.

Consider a graph for the equation y= -3x+4. what is the y intercept? a) 4 b) -4 c) 3 d) -3

Samantha is growing a garden in her back yard. she spend $90 setting up the garden bed and buying the proper garden supplies. in addition, each seed she plants cost $0.25. a. write the function f(x) that represents samantha's total cost on her garden. b. explain what x represents. c. explain what f(x) represents. d. if samantha plants 55 seeds, how much did she spend in total?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?