Question 4 (5 points)
AABC was dilated to form ADEF.
What scale factor was used in the dilation?
HELP ASAP

The scale factor was used in the dilation is 3

Step-by-step explanation:

Dilation is a kind of transformation that changes the size of figures

Image of a figure by dilation and the figure are similar

If a triangle dilated by a scale factor k then its image is similar to it, and the constant ratio between their corresponding sides is equal to k

∵ Δ ABC is dilated to form Δ DEF

∴ Δs ABC and DEF are similar

- That mean their corresponding sides have constant ratio

   equal the scale factor of dilation

∴

Size of Δ DEF is greater than size of Δ ABC, that means k > 1

∵ AC = 2 units

∵ DF = 6 units

∵

∴

∴ 3 = k

∵ The scale factor of dilation is equal to the constant ratio k

∵ k = 3

∴ The scale factor was used in the dilation is 3

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720