A power line crosses over a river. Viewed from above, it intersects the banks of the river to create the angles shown. If the two river banks are parallel, what is the value of x ?

30 points! i am confused. what does it mean by game time? you can use a table of random numbers or a random number generator to create random samples. also, you can obtain random samples directly using wolframalpha.com. for example, typing in randomsample[{1,2,3,4,5},2] will give you a sample of size 2 from the list {1,2,3,4,5}. a sample result is {1,5}. refreshing the page will generate a new random sample of size 2. 2. create five random samples of size two from the population. record the game times for the samples and calculate the mean game time of each sample. 3. create 5 random samples of size 11 from the population. record the game times for the samples and calculate the mean game time of each sample.

The number of revolutions of two pulleys is inversely proportional to their diameters. if a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.