Answer:
-2
Step-by-step explanation:
hope this helps!!!!!!!?
let's first off, convert the mixed fractions to improper fractions, and then, let's multiply both sides by the LCD, notice, the LCD will be hmmmm 4, so we'll multiply both sides by 4, to do away with the denominators.
![\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{7}{2}w+8=\cfrac{13}{4}w+10\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{4}}{4\left( \cfrac{7}{2}w+8 \right)=4\left( \cfrac{13}{4}w+10 \right)} \\\\\\ 14w+32=13w+40\implies w=40-32\implies \boxed{w=8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D~%5Chfill%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%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Ccfrac%7B7%7D%7B2%7Dw%2B8%3D%5Ccfrac%7B13%7D%7B4%7Dw%2B10%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20by%20%7D%5Cstackrel%7BLCD%7D%7B4%7D%7D%7B4%5Cleft%28%20%5Ccfrac%7B7%7D%7B2%7Dw%2B8%20%5Cright%29%3D4%5Cleft%28%20%5Ccfrac%7B13%7D%7B4%7Dw%2B10%20%5Cright%29%7D%0A%5C%5C%5C%5C%5C%5C%0A14w%2B32%3D13w%2B40%5Cimplies%20w%3D40-32%5Cimplies%20%5Cboxed%7Bw%3D8%7D)
Answer:
<h3>B.)Segment BC is proportional to segment EF, and angles A and D are congruent.</h3>
Step-by-step explanation:
If ΔABC and ΔDEF are similar, then
AB is proportional to DE
BC is proportional to EF
CA is proportional to FD
and
angles A and D are congruent
angles B and E are congruent
angles C and F are congruent
Answer:
The shelter has 17 puppies.
2(w-8) = 9. Hope it helps!