Triangle ghi is dilated to create triangle jkl on a coordinate grid. you are given that angle h is congruent to angle k. what other information is required to prove that the two triangles are similar?

angle i is congruent to angle l.

segment gi is congruent to segment jl and segment hi is congruent to segment kl.

angle h is congruent to angle j.

segments gh and jk are congruent.

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.