Me
the perimeter of the original rectangle on the left is 30 meters. the perimeter of the reduced rectangle on the right is 24 meters. mc021-1,jpg not drawn to scale what is x, the width of the original rectangle on the left? round to the nearest hundredth if necessary. 5 meters 8 meters 10 meters 12 meters

5 meters.

Step-by-step explanation:  

Z=The scale factor

A=Perimeter of the reduced rectangle on the right

B=Perimeter of the original rectangle on the left

z=a/b

a=24m

b=30m

-You have to substitute.

z=24/30=0.8

2. You have to find the width of this reduced rectangle to the right. The perimeter of the rectangle is equal to this down below...

P=2(L+W)

L=8m

P=24m

-Substitute then solve for W...

24=2(8+W)

12=(8+W)

W=12-8=4m

3. Now, find the width of your original rectangle on to the left. If two figures are similar, but then the ratio of its corresponding sides is proportional. Also, this ratio is called 'The Scale Factor'.

Now, let...

z=the scale factor

y=the width of reduced rectangle to the right

x=the width of original rectangle to the left.

z=y/x

y=4m

z=0.8

-Now, substitute and solve for x...

0.8=4/x

x=4/0.8

x=5m

So, you have your answer...5 meters!

I hope this helps you out on math.

correct answer:

b.(19,-2)

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9