Answer:
D
Step-by-step explanation:
the lines will be parallel if when cut by a transversal line form same size angles, so 63= x-1, therefore x = 64°
Answer:
117
Step-by-step explanation:
<DAB = <B + <C
Answer: ![4.5 \text{ miles per gallon}](https://tex.z-dn.net/?f=4.5%20%5Ctext%7B%20miles%20per%20gallon%7D)
Step-by-step explanation:
Given : The fuel efficiency of car = 7.6 km per kilogram
We also given that
1 mile = 1.609 km
Then, ![\text{1 km}=\dfrac{1}{0.609}\text{ mile}](https://tex.z-dn.net/?f=%5Ctext%7B1%20km%7D%3D%5Cdfrac%7B1%7D%7B0.609%7D%5Ctext%7B%20mile%7D)
1 gallon = 3.785 liters
![\text{1 liter}=\dfrac{1}{3.785}\text{ gallon}](https://tex.z-dn.net/?f=%5Ctext%7B1%20liter%7D%3D%5Cdfrac%7B1%7D%7B3.785%7D%5Ctext%7B%20gallon%7D)
1 liter of gasoline = 0.729 kg
Then, ![\text{1 kg}=\dfrac{1}{0.729}\text{ liter}](https://tex.z-dn.net/?f=%5Ctext%7B1%20kg%7D%3D%5Cdfrac%7B1%7D%7B0.729%7D%5Ctext%7B%20liter%7D)
![\Rightarrow\ \text{1 kg}=\dfrac{1}{0.729}\times\dfrac{1}{3.785}\text{gallon}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20%5Ctext%7B1%20kg%7D%3D%5Cdfrac%7B1%7D%7B0.729%7D%5Ctimes%5Cdfrac%7B1%7D%7B3.785%7D%5Ctext%7Bgallon%7D)
Now, the fuel efficiency of car will be :
![7.6\times\dfrac{1}{0.729}\times\dfrac{1}{3.785}\times\dfrac{1}{0.609}\\\\=4.52275317827\approx4.5 \text{ miles per gallon}](https://tex.z-dn.net/?f=7.6%5Ctimes%5Cdfrac%7B1%7D%7B0.729%7D%5Ctimes%5Cdfrac%7B1%7D%7B3.785%7D%5Ctimes%5Cdfrac%7B1%7D%7B0.609%7D%5C%5C%5C%5C%3D4.52275317827%5Capprox4.5%20%5Ctext%7B%20miles%20per%20gallon%7D)
Hence, the car’s fuel efficiency in miles per gallon= 4.5