The average rate, in miles per hour, of the rail portion of the trip is; D: 75
<h3>How to calculate the average speed?</h3>
Since exactly 1/3 of the distance travelled was by rail, then we can say that;
(1/3) * (90) = 30 miles
We are told that part of the trip took 1/5 of the travel time. Thus;
Time it takes to travel that distance is:
(1/5) * (2) = 2/5 of an hour
Average rate is;
30/(2/5) = 150/2 = 75 mph
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Answer:
34 hours
Step-by-step explanation:
Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:
1 + 3×M + M = 45
1 + 4M = 45 Subtract 1 in both sides
4M = 44 Divide both sides by 4
M = 11 hours
So Maddie volunteered 11 hours, and Ryan volunteered
1 + 3×11 = 34 hours
we know that
The sum of the internal angles in the triangle must be 
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC
solve for x
therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x
therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD
solve for y
therefore
<u>the answer Part c) is</u>
the measure of angle y is 
Answer:
<h2>48 is the total value of y</h2>
Step-by-step explanation:
(5)(-x)
= -5x
multiply both and put the minus /(-) there
