Answer:
- 102 + (3x +2) = 180 . . . . equation to solve
- x = 25 1/3 . . . . . . . . . . . . value of x
Step-by-step explanation:
It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.
Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.
102 + (3x +2) = 180 . . . equation used to solve for x
3x = 76 . . . . . . . . . . . . . subtract 104
x = 76/3 . . . . . . . . . . . . divide by 3
x = 25 1/3 . . . the value of x
Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
![F = 10[v(21) - v(16)]](https://tex.z-dn.net/?f=F%20%3D%2010%5Bv%2821%29%20-%20v%2816%29%5D)
Newton's Second Law states that Force, in Newtons, is <u>mass times acceleration</u>, that is:

In this problem, mass of 50 kg, thus 
Acceleration is <u>change in velocity divided by change in time</u>, that is:

In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:


Thus, the force is given by:


![F = 50\frac{[v(21) - v(16)]}{5}](https://tex.z-dn.net/?f=F%20%3D%2050%5Cfrac%7B%5Bv%2821%29%20-%20v%2816%29%5D%7D%7B5%7D)
![F = 10[v(21) - v(16)]](https://tex.z-dn.net/?f=F%20%3D%2010%5Bv%2821%29%20-%20v%2816%29%5D)
A similar problem is given at brainly.com/question/18801986
The two lines are neither
This is because in order for two lines to be considered parallel, they must have the same slope/ gradient. And none of our equations have the same slope/gradient
Whereas, in order for two lines to be considered perpendicular, their slopes/gradient must multiply together to give -1. And if we multiply the gradients of our equations, we do not get negative one