Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times the width. Which system of equations represents is the dimensions of the rectangular garden if the perimeter is 63?

Step-by-step explanation:

Let the width of the garden be b and its length is 9 feet less than 3 times the width.

Length = 3b-9 ...(1)

The perimeter of the garden = 63

We need to find the system of equations that represents is the dimensions of the rectangular garden.

Perimeter = 2(l+b)

63 = 2(3b-9+b)  [from equation (1)]

31.5 = (3b-9+b)

31.5 = (4b-9)

31.5+9 = 4b(2)

b = 10.12

Hence, the equations are showsn in equation (1) and (2).

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

h/o/e/s mad

step-by-step explanation:

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