Answer:11
Step-by-step explanation:Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-5)-(18)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
3 • (x - 5) - 18 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3x - 33 = 3 • (x - 11)
Equation at the end of step
3
:
3 • (x - 11) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : x-11 = 0
Add 11 to both sides of the equation :
x = 11
One solution was found :
x = 11
Answer:
x ≤ 204 crates
Step-by-step explanation:
Greatest weight of the container = 27500 kilograms
Weight of other shipment = 7100 kilograms
Weight of crates = 100 kilogram
x = number of 100 kilogram crates that can be loaded into the shipping container.
The inequality:
27500 ≤ 7100 + 100x
27500 - 7100 ≤ 100x
20,400 ≤ 100x
x ≤ 20,400 / 100
x ≤ 204 crates of 100 kilogram
Answer:
-71 + 22n is the equivalent expression.
This is the simplified expression.
Step-by-step explanation:
4(-11 + 4n) -3(-2n + 9)
= -44 + 16n + 6n - 27
= -44 + 22n - 27
= -71 + 22n
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
