Question

SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.

Answer 1

Answer:

TQ=SR [since it is isosceles trapezoid]

6x+1.2=9x-48

48+1.2=9x-6x

3x=49.2

x=49.2/3=16.4

now

QR=3×16.4+2.5=51.7

SR=9×16.4-48=99.6

ST=4×16.4-2=63.6

TQ=6×16.4+1.2=99.6

Answer 2

GIVEN:

QR = 3x + 2.5

RS = 9x - 4.8

ST = 4x - 2

QT = 6x + 1.2

ANSWER:

As it is an isosceles trapezoid.

We know the non-parallel sides (legs) are equal in measure.

So, TQ = SR

6x + 1.2 = 9x - 4.8

6x - 9x = - 4.8 - 1.2

- 3x = - 6

x = 2.

So, QR = 8.5; RS = 13.2; ST = 6; 13.2

NOTE: See picture attached.