In the figure, pq is parallel to rs. the length of rp is 8 cm; the length of pt
is 16 cm; the length of sq is 11 cm. what is the length of qt

QT = 22 cm.

Step-by-step explanation:

RP / PT = SQ / QT

8/16 =  11/ QT

1/2 = 11/QT

QT = 2*11

QT = 22 cm.

A. 22 cm

Step-by-step explanation:

By the Thales Theorem we know that: If we have two parallel straight lines and they cut other two ones, for example lines of a triangle then they produce proportional segments, which means:

RP is proportional to PT and SQ is proportional to QT, we can express that as:

RP/PT=SQ/QT

And we have:

RP is 8 cm

PT is 16 cm

SQ is 11 cm

Then:

8/16=11/QT

We have to calculate QT:

QT= (16*11)/8 =22cm

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2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6