Answer:
1. 0.75 cm to 1 km
4. 0.3 mm to 40 m
Step-by-step explanation:
we have the scale
![\frac{3}{4}\frac{cm}{km}=0.75\frac{cm}{km}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Cfrac%7Bcm%7D%7Bkm%7D%3D0.75%5Cfrac%7Bcm%7D%7Bkm%7D)
<u><em>Verify each case</em></u>
case 1) 0.75 cm to 1 km
![\frac{0.75}{1}\frac{cm}{km}=0.75\frac{cm}{km}](https://tex.z-dn.net/?f=%5Cfrac%7B0.75%7D%7B1%7D%5Cfrac%7Bcm%7D%7Bkm%7D%3D0.75%5Cfrac%7Bcm%7D%7Bkm%7D)
therefore
The scale is equivalent to the given value
case 2) 1 cm to 12 km
![\frac{1}{12}\frac{cm}{km}=0.08\frac{cm}{km}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%5Cfrac%7Bcm%7D%7Bkm%7D%3D0.08%5Cfrac%7Bcm%7D%7Bkm%7D)
![0.08\frac{cm}{km} \neq 0.75\frac{cm}{km}](https://tex.z-dn.net/?f=0.08%5Cfrac%7Bcm%7D%7Bkm%7D%20%5Cneq%200.75%5Cfrac%7Bcm%7D%7Bkm%7D)
therefore
The scale is not equivalent to the given value
case 3) 6 mm to 2 km
Remember that
1 cm= 10 mm
1 mm=0.1 cm
we have
![\frac{6}{2}\frac{mm}{km}=\frac{0.6}{2}\frac{cm}{km}=0.30\frac{cm}{km}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B2%7D%5Cfrac%7Bmm%7D%7Bkm%7D%3D%5Cfrac%7B0.6%7D%7B2%7D%5Cfrac%7Bcm%7D%7Bkm%7D%3D0.30%5Cfrac%7Bcm%7D%7Bkm%7D)
![0.30\frac{cm}{km} \neq 0.75\frac{cm}{km}](https://tex.z-dn.net/?f=0.30%5Cfrac%7Bcm%7D%7Bkm%7D%20%5Cneq%200.75%5Cfrac%7Bcm%7D%7Bkm%7D)
therefore
The scale is not equivalent to the given value
case 4) 0.3 mm to 40 m
Remember that
1 cm= 10 mm -----> 1 mm=0.1 cm
1 km=1,000 m ----> 1 m=0.001 km
we have
![\frac{0.3}{40}\frac{mm}{m}=\frac{0.03}{0.04}\frac{cm}{km}=0.75\frac{cm}{km}](https://tex.z-dn.net/?f=%5Cfrac%7B0.3%7D%7B40%7D%5Cfrac%7Bmm%7D%7Bm%7D%3D%5Cfrac%7B0.03%7D%7B0.04%7D%5Cfrac%7Bcm%7D%7Bkm%7D%3D0.75%5Cfrac%7Bcm%7D%7Bkm%7D)
![0.75\frac{cm}{km}=0.75\frac{cm}{km}](https://tex.z-dn.net/?f=0.75%5Cfrac%7Bcm%7D%7Bkm%7D%3D0.75%5Cfrac%7Bcm%7D%7Bkm%7D)
therefore
The scale is equivalent to the given value
case 4) 1 inch to 7.62 km
Remember that
1 in= 2.54 cm
we have
![\frac{1}{7.62}\frac{in}{km}=\frac{2.54}{7.62}\frac{cm}{km}=0.33\frac{cm}{km}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7.62%7D%5Cfrac%7Bin%7D%7Bkm%7D%3D%5Cfrac%7B2.54%7D%7B7.62%7D%5Cfrac%7Bcm%7D%7Bkm%7D%3D0.33%5Cfrac%7Bcm%7D%7Bkm%7D)
![0.33\frac{cm}{km} \neq 0.75\frac{cm}{km}](https://tex.z-dn.net/?f=0.33%5Cfrac%7Bcm%7D%7Bkm%7D%20%5Cneq%200.75%5Cfrac%7Bcm%7D%7Bkm%7D)
therefore
The scale is not equivalent to the given value
Answer:
1. adjacent: ∠ACB and ∠BCD.
vertical: ∠ACB and ∠ECD
Step-by-step explanation:
Answer:
It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.
Hiii! To work it out, you would have to do 11 ÷ 3. Which would equal 3.6 (Recurring). If it's to one decimal place, it would be 4 if not, it would just be 3.6 ^^
Hope it helps!! Good luck~