The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
<h3>How to determine the possible length of the third side?</h3>
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
brainly.com/question/2403556
<h2>
Answer: x = -6</h2>
<h3>
Step-by-step explanation:</h3>
To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)
<h3>
</h3>
since -4 = (2/3)x [mutiply both sides by 3]
⇒ -4 × 3 = 2x [divide both sides by 2]
⇒ (-12/2) = x [simplify by dividing -12 by 2]
∴ x = -6
Working together three workers would take 1 hour 36 minutes to finish the job
<em><u>Solution:</u></em>
Given that first worker can finish the job in 8 hours
So in one hour, first worker can do 
th of the work
The second worker can finish the job in 4 hours
So in one hour, second worker can do 
th of the work
The third worker can also finish the job in 4 hours
So in one hour, third worker can do th of the work
<em><u>The three workers working together in 1 hour can do:</u></em>
The three worker can thus do 
th of the work in one hour
Hence the three of them together can finish the work in 
hours
hours
Thus working together three workers would take 1 hour 36 minutes to finish the job
Answer:
Dilation.
Step-by-step explanation:
From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .
Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.
But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.
Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".
