Answer:
17 Degrees
Step-by-step explanation:
angle AB is 73 degrees while angle AC is 90. To find angle X 90-73.
Answer:
Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC
Step-by-step explanation:
4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio
![2:8::4:x](https://tex.z-dn.net/?f=2%3A8%3A%3A4%3Ax)
Product of mean = Product of extreme
![8*4=2*x\\32=2x\\2x=32](https://tex.z-dn.net/?f=8%2A4%3D2%2Ax%5C%5C32%3D2x%5C%5C2x%3D32)
Dividing both sides by 2
![\frac{2x}{2}=\frac{32}{2}\\x=16](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B32%7D%7B2%7D%5C%5Cx%3D16)
4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;
![2:8::y:20](https://tex.z-dn.net/?f=2%3A8%3A%3Ay%3A20)
Product of mean = Product of extreme
![8*y=20*2\\8y=40\\](https://tex.z-dn.net/?f=8%2Ay%3D20%2A2%5C%5C8y%3D40%5C%5C)
Dividing both sides by 8
![\frac{8y}{8}=\frac{40}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B8y%7D%7B8%7D%3D%5Cfrac%7B40%7D%7B8%7D)
y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion
![2:8::7:z\\](https://tex.z-dn.net/?f=2%3A8%3A%3A7%3Az%5C%5C)
Product of mean = Product of extreme
![8*7=2*z\\56=2z\\2z=56](https://tex.z-dn.net/?f=8%2A7%3D2%2Az%5C%5C56%3D2z%5C%5C2z%3D56)
Dividing both sides by 2
![\frac{2z}{2}=\frac{56}{2}\\z=28](https://tex.z-dn.net/?f=%5Cfrac%7B2z%7D%7B2%7D%3D%5Cfrac%7B56%7D%7B2%7D%5C%5Cz%3D28)
7 liters of punch will serve 28.
Keywords: ratio, proportion
Learn more about ratios at:
#LearnwithBrainly
Answer:
the opposite of an integer is the same distance from zero
Step-by-step explanation:
1,-1
5,-5
125,-125, etc.
Answer:Y=2x-6
Step-by-step explanation: