Look at the figure below: Triangle ABC has the measure of angle ACB equal to 45 degrees. D is a point on side AC. Points B and D are joined by a straight

Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ACB. (10 points)

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).

Two years ago a man was six times as old as his daughter. in 18 years he will be twice as old as his daughter. determine their present ages.

Choose the correct translation for the following statement. it is at most ten. x< 10 x< 10 x> 10 x> 10