To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Divide: 4(/7) / 2 = 4/7 · 1/2 = 4*1/ 7*2 = 4/14 = 2/7
1/6 of 24 = 4
3/7 of 21 = 9
1/3 of 21 = 7
Wont the two lines be parallel since you are not changing the orantation of the shape
Answer:
- n = 3
- (1, 1/6), (-2, 7/6), (5, -7/6)
- 2x + 6y = 3
Step-by-step explanation:
A graphing program can help a lot in this case. Even without the program, it seems clear from a graph that only the first three points will lie on the same line.
The slope of the line can be found from the first two points as ...
∆y/∆x = (7/6 -1/6)/(-2 -1) = (6/6)/-3 = -1/3
Then the point-slope form of the equation can be written as
y -1/6 = -1/3(x -1)
Multiplying by 6 gives ...
6y -1 = -2x +2
Adding 2x+1 puts the equation into standard form:
2x + 6y = 3
We are given that the measure of one acute angle is 5 times the measure of the other acute angle.
Let us assume the measure of the other acute angle = x degree.
First acute angle is 5 times the other, that is = 5x degrees.
Both angles are making a right angle.
A right angle sum upto 90 degrees.
Therefore,
x+5x = 90.
6x = 90.
Dividing both sides by 6, we get
x =15.
<h3>Therefore, other acute angle = 15° and one angle measure = 5 times of 15 that is 75°</h3>