Answer:
41°
Step-by-step explanation:
The angle addition theorem tells you ...
m∠MNR + m∠RNP = m∠MNP
Filling in the given values, you have ...
43° + m∠RNP = 84°
Subtract 43° from both sides of the equation to find the angle of interest:
m∠RNP = 84° - 43° = 41°
The measure of angle RNP is 41°.
We can treat each distance distance traveled by the four wheelers are vectors. Their sum must be zero since the last four wheeler truck ends up where the first four wheeler truck started
d1∠1 + d2∠2 + d3∠3 + d4∠4 + d5∠5 = 0
d5∠5 = - (d1∠1 + d2∠2 + d3∠3 + d4∠4)
Since we don't know the speed of the fifth wheeler, we just add the angles and equate it to 360
20 + 30 + 0 + -40 + ∠5 = 360
∠5 = 350 or -10
The fifth wheeler must travel at an angle of -10 degrees.
<span> Slope = 0.034/2.000 = 0.017
k-intercept = -32297/20 = -1614.85000<span>
f-intercept = 32297/1180 = 27.37034</span></span>
Answer:
c. 
d. 
Step-by-step explanation:
For this exercise you need to remember the following:
1. The multiplication of signs:

2. The Product of powers property, which states that:

3. The Distributive property:

Knowing that, you can solve the multiplication of the polynomials:
c. 
d. 
Answer:
0.375
Step-by-step explanation:
3 divided by 8 is 0.375