Edna has a segment with endpoints f(4, 9) and g(7, 2) that is divided by a point h such that fh and gh form a 1: 3 ratio. she knows that the distance between the x-coordinates is 3 units. which of the following fractions will let her find the x-coordinate for point h?

the answer would be 44.79

plz mark brainliest

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

my best guesses would have to be either 4.5 or 2. p.s. if they're wrong, i'm so sorry for giving you the wrong answer.