Answer: Both trains would meet at 1 pm
Step-by-step explanation:
Let t represent the time at which both trains will pass each other.
The distance between the cities is 360 miles. This means that by the time both trains meet, the total distance covered would be 360 miles.
Distance = speed × time
The freight train is travelling at 50 mph. Distance covered by the freight train in t hours is 50t.
The passenger train is travelling at 70 mph. Distance covered by the passenger train in t hours is 70t.
Since the total distance covered is 360 miles, it means that
50t + 70t = 360
120t = 360
t = 360/120
t = 3 hours
Both trains would meet at 1 pm
<em>372₁₀ = 2442₅</em>
- Step-by-step explanation:
<em>372 : 5 = 74 r 2</em>
<em>74 : 5 = 14 r 4</em>
<em>14 : 5 = 2 r 4</em>
<em>2 : 5 = 0 r 2 ↑</em>
<em>write down the remainders in the reverse order</em>
<em />
<em>372₁₀ = 2442₅</em>
<h3>
Answer: Choice B</h3>
Use a rigid transformation to prove that angle NPO is congruent to angle NLM
=====================================================
Explanation:
The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.
The second pair of angles could either be
- angle NOP = angle NML
- angle NPO = angle NLM
so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.
Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.
We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.
Answer:
8.22899353m
= 8m(round)
Step-by-step explanation:
14 * sin(36 degree) = 8.22899353
First, I would subtract 150 from 870. You get 720. Then I would divide that equally among the four artists. 720/4=180. So each person's share is $180.
