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. 
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

substitute the given values

using a calculator

Answer:
257
Step-by-step explanation:
5(41-(-2))+{-7(-4-2)}
5(41+2)+{-7(-6)}
5(43)+(42)
215+42
257