Question

Set up a proportion to solve for the missing measure of

Answer 1

Answer:

Part 1) Option A. x ft

Part 2) Option C. Cross multiply.

Part 3) Option A. 1/4

Step-by-step explanation:

Part 1) Which side of the original parallelogram corresponds to  the 6 ft side of the enlarged parallelogram?

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

The corresponding sides in this problem are

1/3 ft and 8 ft

x ft and 6 ft

therefore

Option A. x ft

Part 2) What is the second step in solving the proportion?

step 1

The proportion is equal to

$\frac{(1/3)}{8}=\frac{x}{6}$

step 2

Solve the proportion

Cross multiply

$\frac{1}{3} (6)=x(8)$

Part 3) What is the value of the missing measure?

Solve the proportion for x

$\frac{1}{3} (6)=x(8)$

$2=x(8)$

Divide by 8 both sides

$\frac{2}{8}=x$

Simplify

$x=\frac{1}{4}$

Answer 2

Answer:

Part 1) Option A. x ft

Part 2) Option C. Cross multiply.

Part 3) Option A. 1/4

Step-by-step explanation:

Part 1) Which side of the original parallelogram corresponds to  the 6 ft side of the enlarged parallelogram?

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

The corresponding sides in this problem are

1/3 ft and 8 ft

x ft and 6 ft

therefore

Option A. x ft

Part 2) What is the second step in solving the proportion?

step 1

The proportion is equal to

step 2

Solve the proportion

Cross multiply

Part 3) What is the value of the missing measure?

Solve the proportion for x

Divide by 8 both sides

Simplify

Step-by-step explanation:

Hope That Helps!