Which expression is equivalent to StartFraction 3 x Over x + 1 EndFractiondivided by x + 1? StartFraction 3 x Over x + 1 EndFraction times StartFraction 1 Over x + 1 EndFraction StartFraction 3 x Over x + 1 EndFraction divided by StartFraction 1 Over x + 1 EndFraction StartFraction x + 1 Over 1 EndFraction divided by StartFraction 3 x Over x + 1 EndFraction StartFraction x + 1 Over 3 x EndFraction times StartFraction x + 1 Over 1 EndFraction

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

0.85 or 85%

step-by-step explanation:

1) divide 23 by 27

2) round the decimal to the nearest 10

3) so your answer would be 0.85 or 85%

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .