Cindy says she found a shortcut for doing multiplication problems. When she multiplies 3x24, she says,"3x4 is 12ones, or 1ten and 2ones. Then, there’s just 2tens left In 24, so add it up, and you get 3tens and 2ones." Do you think Cindys shortcut works? Explain your thinking in words, and justify your response using a model or partial products.

c.

step-by-step explanation:

answer: can you show the options ?

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft