Pls help aswer this question Miguel is building a doghouse. He cuts one sheet of wood to make the front wall. He also cuts out a door that is 2 feet by 2 feet. The dimensions, in feet, are shown in the diagram.

Miguel needs to paint the wood. What is the area he needs to paint?

1. What is the area of the rectangular piece of wood before the square is cut out? Include units with your answer.

Write your answer in the space below.

2. What is the area of the square that was cut out of the wood? Remember to include the units.

Write your answer in the space below.

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)

The first and second steps to solve the equation 3x/5 + 5 = 20.are shown below 3x/5 + 5 - 5 = 20 - 5 3x/5 (5/3) = 15 (5/3)a.addition property of equality b.subtraction property of equalityc.multiplication property of equalityd.division property of equality