Ben uses a compass and a straightedge to construct ∠DEF ≅ ∠ABC, as shown below: The art shows two figures. The figure on the left shows two rays BA and BC having a common end point B. An arc drawn from B cut Which statement best explains why Ben uses the width BI to create the arc JK from point E? (6 points) A. ∠DEF ≅ ∠ABC when BH = EK, BI = JK, and HI = EJ. B. BI = JK when ∠DEF ≅ ∠ABC . C. BI = EJ when ∠DEF ≅ ∠ABC. D. ∠DEF ≅ ∠ABC when BH = EJ, BI = EK, and HI = JK.

Which pair of numbers is relatively prime? a. 105 and 128 b. 130 and 273 c. 205 and 350 d. 273 and 333

The actual length of side t is 0.045cm. use the scale drawing to find the actual side length of w

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.