1. find the value of x. round the length to the nearest tenth.
(picture 1)

a. 6.9 cm
b. 9.8 cm
c. 8.4 cm
d. 17.1 cm

2. a conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. the belt makes a 60° angle with the ground. how far do the supplies travel from one end of the conveyor belt to the other? round your answer to the nearest foot. if the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor?

a. 45 ft; 37 min
b. 37 ft; 22.5 min
c. 30 ft; 0.4 min
d. 15 ft; 1.1 min

3.for each triangle shown below, determine whether you would use the law of sines or law of cosines to find angle x. then find angle x to the nearest tenth.
(picture 2)

a. 8.8 by the law of sines (ssa)
b. 22.9 by the law of cosines (sas)
c. 10.7 by the law of sines (sas)
d. 68.3 by the law of cosines (sss)

What is the least common multiple of 6 and 17?

It took alice 5 5/6 hours to drive to her grandparents' house for . on the way home, she ran into traffic and it took her 7 3/8 hours. how much longer did the return trip take? write your answer as a proper fraction or mixed number in simplest form. the trip home took __hours longer. ?

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.