Answer:
C
Step-by-step explanation:
C. just rotate the triangles so each corner matches up.
P to S
Q to T
R to U
let's firstly convert the mixed fractions to improper fractions, and then use the LCD, which in this case is 4, to sum them up.
![\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{4\frac{3}{4}}\implies \cfrac{4\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{19}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{13}{4}+\cfrac{19}{4}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{13+19}{4}}\implies \cfrac{32}{4}\implies 8](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B13%7D%7B4%7D%2B%5Ccfrac%7B19%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%204%7D%7D%7B%5Ccfrac%7B13%2B19%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B32%7D%7B4%7D%5Cimplies%208)
Luis’ sample would be the most random, because not everyone in the cafeteria might check out books from the library, but since everyone Samantha surveyed was in the library already, most of the people she surveyed would be more consistent in their responses.
Answer:
109th value is 760
Step-by-step explanation:
the nth term rule is 7n-3
7×109=763
763-3=760
810
all you need to do is plug in 12 for a and 7 for p. the you solve it.
8*12=96
7*4=28
96+28+11=135
6(135)=810
