Luke says that the scale factor relating two figures is 0.6. Paula says the scale factor is 5/3. If Paula is correct, explain why Luke is incorrect.

Explanation:

Start by converting the decimal number, 0.6, to a fraction:

As you see, the scale factor stated by Luke is just the inverse of that stated by Paula, 5/3.

If Paula is correct, it means that Luke related the figures on the opposite direction. This is, Paula correctly  stated the ratio of the bigger figure to the smaller one, 5 : 3, while, Luke, incorrectly, stated the ratio of the smaller figure to the bigger one.

21.4 i did it already for s1

step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2