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
x=96
all interior angles equal 180
Subtract exterior andgles by 180 to get interior angles because they are supplementary
180-134=46
180-130=50
Get the third angle inside the triangle
180-50-46=84
subtract by 180 to get x because they are supplementary
180-84=96
Therefore x =96
Answer:
C
Step-by-step explanation:
I googled it
Answer:
x = 3
Step-by-step explanation:
Mathematically, the mean is the sum of the numbers divided by the count of the numbers
The count of the numbers is 5
Thus;
( 4 + 8 + 9 + x + 2x)/5 = 6
(21 + 3x)/5 = 6
21 + 3x = 6(5)
21 + 3x = 30
3x = 30-21
3x = 9
x = 9/3
x = 3
Step-by-step explanation:
Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.
the problem is to maximize profit.
let desk be x
and chairs be y
400x+250y=P (maximize)
4x+3y<2000 (constraints)
according to restrictions y=2x
let us substitute y=2x in the constraints we have
4x+3(2x)<2000
4x+6x<2000
10x<2000
x<200
so with restriction, if the desk is 200 then chairs should be at least 2 times the desk
y=2x
y=200*2
y=400
we now have to substitute x=200 and y=400 in the expression for profit maximization we have
400x+250y=P (maximize)
80000+100000=P
180000=P
P=$180,000
the profit is $180,000
