AD¯¯¯¯¯, BD¯¯¯¯¯, and CD¯¯¯¯¯ are angle bisectors of the vertex angles of △ABC. CF=8 meters and CD=17 meters. What is DE? Enter your answer in the box. m Triangle A B C with three dashed rays drawn that intersect at point D. Ray C D intersects side A B. Ray B D intersects side A C. Ray A D intersects side B C. Three line segments extend from point D. Segment DE is perpendicular to side A B. Segment F D is perpendicular to side B C. Segment G D is perpendicular to side A C.

Write the equation for the parabola that has x− intercepts (−2,0) and (4,0) and y− intercept (0,4).

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Aclothing designer is selecting models to walk the runway for her fashion show. the clothes she designed require each model’s height to be no more than y inches from 5 feet 10 inches, or 70 inches. which graph could be used to determine the possible variance levels that would result in an acceptable height, x?