Answer:
Always
Step-by-step explanation:
The definition of a perpendicular line is that it intersects another at a 90 degree angle. Using this, by verticals, the opposite corner angle must also be 90-degrees, and since one side of a line is 180 degrees, 180-90 = 90, which ensure the rest of the angles will be 90 degrees too.
Yes to both, and for future help, if you find a common denominator(the bottom one) by multiplication and one is higher, boom you have your answer.
1 1/9
To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:
2/3 = X
—————- —————-
3/5 = 1
You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.
2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.
So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
Answer:
Option B. ![51.1^o](https://tex.z-dn.net/?f=51.1%5Eo)
Step-by-step explanation:
we know that
In the right triangle of the figure
The sine of angle theta is equal to divide the opposite side to angle theta by the hypotenuse
so
![sin(\theta)=\frac{DF}{DE}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%5Cfrac%7BDF%7D%7BDE%7D)
substitute the given values
![sin(\theta)=\frac{7}{9}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%5Cfrac%7B7%7D%7B9%7D)
using a calculator
![\theta=sin^{-1}(\frac{7}{9})=51.1^o](https://tex.z-dn.net/?f=%5Ctheta%3Dsin%5E%7B-1%7D%28%5Cfrac%7B7%7D%7B9%7D%29%3D51.1%5Eo)
Answer:
257
Step-by-step explanation:
5(41-(-2))+{-7(-4-2)}
5(41+2)+{-7(-6)}
5(43)+(42)
215+42
257