Answer:
![{ \boxed{ \mathfrak{ \: answer : \: { \rm{ - \infin}} }}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Cmathfrak%7B%20%5C%3A%20answer%20%3A%20%5C%3A%20%7B%20%5Crm%7B%20-%20%20%5Cinfin%7D%7D%20%7D%7D%7D)
Step-by-step explanation:
![{ \rm{ \frac{( \cos \theta - \sin \theta) }{ \theta - \frac{\pi}{4} } }} \\ { \tt{ \{lim _{ \theta = \frac{\pi}{4} } \} }} \\ \\ \dashrightarrow \: { \rm{ \frac{( \cos \frac{\pi}{4} - \sin \frac{\pi}{4} ) }{ \frac{\pi}{4} - \frac{\pi}{4} } }} \\ \\ = { \rm{ \frac{0 - 1}{0} }} \\ \\ = { \rm{ \frac{ - 1}{0} }}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B%20%5Cfrac%7B%28%20%5Ccos%20%20%5Ctheta%20-%20%20%5Csin%20%5Ctheta%29%20%7D%7B%20%5Ctheta%20-%20%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%7D%20%7D%7D%20%5C%5C%20%20%7B%20%5Ctt%7B%20%5C%7Blim%20_%7B%20%5Ctheta%20%3D%20%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%7D%20%20%5C%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5Cdashrightarrow%20%5C%3A%20%7B%20%5Crm%7B%20%5Cfrac%7B%28%20%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20-%20%20%5Csin%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%20%29%20%7D%7B%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20-%20%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%20%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Crm%7B%20%5Cfrac%7B0%20-%201%7D%7B0%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%7B%20%5Crm%7B%20%5Cfrac%7B%20-%201%7D%7B0%7D%20%7D%7D)
Answer:
A Book cover costs = 8.70
A Binder costs = 8.80
8.70 + 8.80 = $17.5
For Brianna
A Book cover costs = 13.75
A Binder costs = 16.75
13.75 + 16.75 = $30.50
For Britney
![\bf 7\div \cfrac{2}{3}\implies 7\cdot \cfrac{3}{2}\implies \cfrac{7\cdot 3}{2}\implies \cfrac{21}{2}\implies 10\frac{1}{2}~~\checkmark \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{so, what happened to Mario?}}{7\div \cfrac{2}{3}\implies \cfrac{7}{1}\div \cfrac{2}{3}}\implies \stackrel{\boxed{?}}{\cfrac{1}{7}}\cdot \cfrac{3}{2}\implies \cfrac{3}{14}~~\bigotimes](https://tex.z-dn.net/?f=%5Cbf%207%5Cdiv%20%5Ccfrac%7B2%7D%7B3%7D%5Cimplies%207%5Ccdot%20%5Ccfrac%7B3%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B7%5Ccdot%203%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B21%7D%7B2%7D%5Cimplies%2010%5Cfrac%7B1%7D%7B2%7D~~%5Ccheckmark%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bso%2C%20what%20happened%20to%20Mario%3F%7D%7D%7B7%5Cdiv%20%5Ccfrac%7B2%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B7%7D%7B1%7D%5Cdiv%20%5Ccfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Cstackrel%7B%5Cboxed%7B%3F%7D%7D%7B%5Ccfrac%7B1%7D%7B7%7D%7D%5Ccdot%20%5Ccfrac%7B3%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B14%7D~~%5Cbigotimes)
he ended up multiplying the 7 by the 2 for some reason.
and an explanation could be he used the reciprocal of both numbers mistakenly.
Answer:Yes, alternate interior angles converse