Answer:
x=43
Step-by-step explanation:
3x+17+x-9=180
4x+8=180
4x=180-8
4x=172
x=43
For triangle MNO with centroid S where is the point Q ?
Answer:
1.2 laps per minute.
Step-by-step explanation:
I divided 6 by 5 and I got my answer.
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
Answer:
Step-by-step explanation:
Let's first find the slope of the line using the 2 given points. That is:
So the slope is 2. Let's write the equation of the line now, using one of the points. I'll use (4, 5) cuz I don't care much for negatives:
y - 5 = 2(x - 4) and
y - 5 = 2x - 8 and
y = 2x - 8 + 5 so
y = 2x - 3
Now that we know the equation of the line, we can sub in 1 for y to solve for a:
1 = 2x - 3 and
4 = 2x so
x (a) = 2
So a = 2 and the point is (2, 1)