Given a segment with endpoints a and b, what figure can you construct using the steps below?
step 1: draw a ray with endpoint c.
step 2. open the compass to the length of ab
step 3: with the same compass setting, put the compass point on point c. draw and arc that intersects the ray. label the point of intersection d.

a. a perpendicular bisector
b. a congruent segment
c. an angle bisector
d. a congruent angle

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.

In september, louise planted a tree. every month, the tree louise planted grew 2 inches. what would the constant of proportionality of the line be?

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.