Check the picture below
make sure your calculator is in Degree mode, if you need the angle in degrees
Answer:
You can conclude from the diagram that m∠P is less than m∠N ⇒ A
Step-by-step explanation:
- In any triangle, you can arrange the lengths of the sides according to the measure of the opposite angles
- In any triangle, you can arrange the measure of the angles according to the lengths of the opposite sides
<u><em>Example:</em></u>
In ΔABC, if the arrangement of the sides is AB < BC < CA, then the arrangement of the measures of the angles is m∠C < m∠A < m∠B
Let us use this fact to solve the question
→ In ΔKNP
∵ KP = 8 units
∵ KN = 6 units
∵ 6 < 8
∴ KN < KP
∵ ∠P is opposite to the side KN
∵ ∠N is opposite to the side KP
∵ KN < KP
→ By using the fact above
∴ m∠P < m∠N
∴ m∠P is less than m∠N
∴ You can conclude from the diagram that m∠P is less than m∠N
Is that the whole question?
Answer:
i think option 3
Step-by-step explanation:
im not sure but i think
<u>Answer- </u>Wendy spent 3 hours on the train
<u>Solution-</u>
The distance between the cities= 500 mi.
She traveled part of the way by bus, and other part by train.
The bus averaged 40 mph, and the train averaged 120 mph.
The entire trip took 6.5 hours.
let d = distance traveled by train
the total distance was given as 500 mi ,
therefore, distance traveled by bus = (500-d) mi
time = distance/speed
⇒ train traveling time + bus traveling time = 6.5 hrs
⇒ ![\frac{d}{120} +\frac{500-d}{40} = 6.5](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B120%7D%20%2B%5Cfrac%7B500-d%7D%7B40%7D%20%3D%206.5)
⇒ d + 3(500-d) = 120(6.5)
⇒ d + 1500 - 3d = 780
⇒ 2d = 720
⇒ d = 360 mi
so d = 360 mi by train
⇒ 360/120 = 3 hrs on the train