This is the answer/I hope this helps
Slope of line l (m1)=5
Slope of line w(m2)=-1/5
Since,m1×m2=-1 , line 'l' and 'w' are perpendicular.
Since line 'k' doesn't intersect line 'l' ,they must be parallel b'coz they are in the same plane as well.
Here, 'l' is perpendicular to 'w' and parallel to 'k'....so w and k must be perpendicular to each other.
It can be proven:
Since l and k are parallel, their slopes are equal.
So, slope of k (m3)=5
Since m3×m2=-1 ,w and k are perpendicular.
Hence, angle between w and k is 90°
Answer:
18
Step-by-step explanation:
Let's make this information into an equation.
We'll use 'x' whenever the problem says "a number".
Equation:
5x + 18 = 36 + 4x
How did I get to this equation?
- 5 times a number means 5 multiplied by x
- increased by 18 means to add 18
- is the same as means equals
- 36 more than means to add 36
- 4 times the number means 4 multiplied by x
Now, let's solve.
Solve:
5x + 18 = 36 + 4x
Subtract 18 on both sides:
5x + 18 = 36 + 4x
-18 -18
5x = 18 + 4x
Subtract 4x on both sides:
5x = 18 + 4x
-4x -4x
x = 18
Therefore, "the number" is 18.
Answer:
The per hour income of Siobhan is $9.31 per hour.
Step-by-step explanation:
Working in a grocery store James makes $7.00 per hour. Priya's hourly income is 40% more than James, and Siobhan's hourly income is 5% less than Priya.
Therefore, using formula of percentage, the per hour income of Priya will be
dollars per hour.
Again, the per hour income of Siobhan is 
dollars per hour. (Answer)
