Part 1 Each of the orange triangles above is a dilation of one of the green triangles. Match each triangle to its corresponding similar green triangle and scale factor: Explain how you can verify the scale factor for each pair of similar figures.

Choose two similar triangles from the set of triangles. Use a ruler to measure all three lengths of one triangle but only two lengths of the other. Sketch the triangles below and label the 5 lengths measured.

Explain how you can use the fact that the triangles are similar to determine the length of the remaining side of the other triangle without measuring it.

Give me the equations of two lines that have the same slope but are not parallel.

Factor the polynomial by its greatest common monomial factor.

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10