Answer:
The measure of segment AC is 36 units
Step-by-step explanation:
- The mid-point divides the segment into two equal parts in length
- B is the mid point of segment AC
- That means B divides segment AC into two equal parts in length
∴ AB = BC
∵ AC = 5x - 9
∵ AB = 2x
- The two parts AB and BC are equal in length
∴ BC = 2x
∵ AC = AB + BC
- Substitute the values of AB and BC in the expression of AC
∴ AC = 2x + 2x
∴ AC = 4x
∵ AC = 5x - 9
- Equate the two values of AC
∴ 5x - 9 = 4x
- Add 9 to both sides
∴ 5x = 4x + 9
- Subtract 4x from both sides
∴ x = 9
- Substitute the value of x in any expression of AC
∵ AC = 4x
∵ x = 9
∴ AC = 4(9) = 36
* The measure of segment AC is 36 units
<span>You can calculate percentages by first finding what 10% of a value is and then what 5 or 1% is. From there you can multiply to find multiples and then add to get the required percentage.</span>
Answer:
y = 2/3x + 1.5
Step-by-step explanation:
The Formula for that is
y = mx + b
m = slope
b = y -intercept
so to find the slope I would do y/x or rise over run
So your slope is 2/3 ( it goes up 2 and right 3 times)
Since the line is going up and not down, it is a positive slope
y = 2/3x + b
we need to find where the line crosses the vertical / y-axis and it's at the point.... (0,<u><em>1.5</em></u>)
y = 2/3x + 1.5
Hope this helped a little!