Answer: 9
Step-by-step explanation:
12 insulators = 183/4 hours
x = 281/8
x × 183/4 = 12 ×281/ 8
183x/4 = 6 × 281/4
183x / 4 = 1686 / 4
4 cancel out 4
183x = 1686
Divide bothside by 183
x = 1686/183
x= 9.21311
x = 9 approximately.
OK. I did it. Now let's see if I can go through it without
getting too complicated.
I think the key to the whole thing is this fact:
A radius drawn perpendicular to a chord bisects the chord.
That tells us several things:
-- OM bisects AB.
'M' is the midpoint of AB.
AM is half of AB.
-- ON bisects AC.
'N' is the midpoint of AC.
AN is half of AC.
-- Since AC is half of AB,
AN is half of AM.
a = b/2
Now look at the right triangle inside the rectangle.
'r' is the hypotenuse, so
a² + b² = r²
But a = b/2, so (b/2)² + b² = r²
(b/2)² = b²/4 b²/4 + b² = r²
Multiply each side by 4: b² + 4b² = 4r²
- - - - - - - - - - -
0 + 5b² = 4r²
Repeat the
original equation: a² + b² = r²
Subtract the last
two equations: -a² + 4b² = 3r²
Add a² to each side: 4b² = a² + 3r² . <=== ! ! !
Dependent variable is dependent on the independent variable
m, because the amount of tread lost depends on how many miles you traveled
it's not, the amount of miles depends on how much tread you lost
m is indepdent
Answer: parallel is 1 and perpendicular is -1
Step-by-step explanation:
parallel lines have the same slope and perpendicular have the opposite and negative of the slope.
Step-by-step explanation:
the answer is in the picture above
