Answer properly the law of cosines is used to find the measure of z.

16 squared = 18 squared + 19 squared – 2(18)(19)cos(z)

256 = 324 + 361 – (684)cos(z)

256 = 685 – (684)cos(z)

–429 = –(684)cos(z)

to the nearest whole degree, the measure of z is
degrees.

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

In dire need~! describe how to use area models to find the quotient 2/3 divided by 1/5. check your work by also finding the quotient 2/3 divided by 1/5 using numerical operations only.

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar. what is the probability that the applicant who gets the job plays drums or guitar?