Triangle ABC is dilated with a scale factor of k and a center of dilation at the origin to obtain triangle A’B’C’.

#1) 4; #2) 12 inches; #3) (-0.8, 2.4); #4) (3.5, 8.75); #5) 32 inches by 64 inches

Explanation:

#1) To get the image points, each pre-image point was multiplied by 4.  This means that the scale factor is 4.

#2) The perimeter of GAME is 177.  We know that three of the sides are 35, 56 and 56.  This means the fourth side, GA, would be

177-(35+56+56) = 177-147 = 30 inches

This means that GA to G'A' would have the same ratio as ME to M'E'; this gives us the proportion

Cross multiplying, we have

35(x) = 14(30)

35x = 420

Divide both sides by 35:

35x/35 = 420/35

x = 12

#3) To find the coordinates of I', we multiply the coordinates of I by the scale factor:

I' = (-2(2/5), 6(2/5)) = (-4/5, 12/5) = (-0.8, 2.4)

#4) To find the coordinates of S', multiply the coordinates of S by the scale factor:

S' = (2(7/4), 5(7/4)) = (14/4, 35/4) = (3.5, 8.75)

#5) The generic version is 3/8 the size of the brand name version.  This means that the brand name version is 8/3 of the generic version.  To find the dimensions of the brand name version, we multiply the dimensions of the generic version by 8/3:

12(8/3) = 96/3 = 32

24(8/3) = 192/3 = 64

The dimensions of the generic version are 32 by 64.

#1) 4; #2) 12 inches; #3) (-0.8, 2.4); #4) (3.5, 8.75); #5) 32 inches by 64 inches

Explanation:

#1) To get the image points, each pre-image point was multiplied by 4.  This means that the scale factor is 4.

#2) The perimeter of GAME is 177.  We know that three of the sides are 35, 56 and 56.  This means the fourth side, GA, would be

177-(35+56+56) = 177-147 = 30 inches

This means that GA to G'A' would have the same ratio as ME to M'E'; this gives us the proportion

Cross multiplying, we have

35(x) = 14(30)

35x = 420

Divide both sides by 35:

35x/35 = 420/35

x = 12

#3) To find the coordinates of I', we multiply the coordinates of I by the scale factor:

I' = (-2(2/5), 6(2/5)) = (-4/5, 12/5) = (-0.8, 2.4)

#4) To find the coordinates of S', multiply the coordinates of S by the scale factor:

S' = (2(7/4), 5(7/4)) = (14/4, 35/4) = (3.5, 8.75)

#5) The generic version is 3/8 the size of the brand name version.  This means that the brand name version is 8/3 of the generic version.  To find the dimensions of the brand name version, we multiply the dimensions of the generic version by 8/3:

12(8/3) = 96/3 = 32

24(8/3) = 192/3 = 64

The dimensions of the generic version are 32 by 64.

The answer is in the image 

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The answer is in the image