Answer:
105 degrees
Step-by-step explanation:
To start this think about what you know has to be true about this:
- Angle WRQ and PRQ when added will equal 180
- Triangle PRQ when all the angles are added will equal 180
- We have to find x to find what the angle measure of angle WRQ is
So let's start to write an equation:
Let's say angle PRQ is y.
20x + 5 + y = 180
27 + y + 14x + 8 = 180
Now let's use substitution to solve for y:
20x + 5 + y = 180
subtract 5 from both sides:
20x + y = 175
subtract 20x from both sides:
y = -20x + 175
Let's now plug in y to our other equation:
27 + (-20x + 175) + 14x + 8 = 180
now combine all like terms:
-6x + 210 = 180
now solve for x:
subtract 210 from both sides:
-6x = -30
divide both sides by -6:
x = 5
Now that we have x, let's plug it in for the equation of angle WRQ:
20(5) +5
Simplify:
105
Hope this helps!
If you know all the angles you only need to know 1 side
Answer:
Force = 120 N
Step-by-step explanation:
Newton's second law of motion states that the rate of change of momentum of a body is directly proportional to the applied force, and the motion is in the direction of the applied force. From this definition, it is therefore derived that force is the product of mass and acceleration; F = m × a
where: m = mass = 60kg
a = acceleration = 2 m/s²
∴ F = 60 × 2 = 120 N