An office park is renovating a 8oft by 80ft courtyard. there were plans to pave the whole thing, but the city of raleigh is forcing the courtyard to have a certain proportion of paved and unpaved ground. the city wants there to be 3 times as much paved ground as the area of unpaved ground. the updated plans now show a square plantedtion in the center, and a paved sidewalk surrounding it. match the problems below with their correct answers. (some answer choices may not be used.) 60 find a function giving the area of the planted section section depending on the width of the walkway, x. write your answer in standard form. a 45 b. -x2 120x v find a function giving the area of the paved section depending on the width of the walkway. x. write your answer in standard form. c-4x2+120x find the unique value of x that makes the paved section be three times the planted x2-120x +3600 ection.

the answer is true.

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

134.6 us dollars

step-by-step explanation:

1 us dollar = 1.33 canadian dollars

so, 150 us dollars = 150 × 1.33 = $199.5.

in canada, the money mitchell spent = 20 canadian dollars.

remaining canadian dollars with him = 199.5 - 20 = 179.5.

after mitchell returned to us, he exchanged the remaining canadian dollars to us dollars.

179.5 canadian dollars = 179.5 × 0.75 = 134.6 us dollars.