A train travels at a constant speed and has traveled 67. 5 miles in the last 1 1/2 hours. Which equation shows the proportion re
2 answers:
Answer:
Option D is correct
Step-by-step explanation:
The Proportional relationship says that:
then; equation is in the form of
where k is the constant of proportionality.
As per the statement:
A train travels at a constant speed and has traveled 67. 5 miles in the last 1 1/2 hours.
⇒Distance(d) = 67.5 miles
Time(t) = hours.
We have to find an equations shows the proportion relationship between the distance d, and the time, t, that the train has traveled
By definition of proportional relationship:
Where d is the distance and t is the time
Substitute the given values we have;
Divide both sides by 1.5 we have;
45 = k
⇒
Therefore, an equations shows the proportion relationship between the distance d, and the time, t, that the train has traveled is:
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By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
Given that, a║b and both the lines are intersected by transversal t.
We need to prove that m∠1=m∠5.
<h3>What is a transversal?</h3>In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
m∠1+m∠3= 180° (Linear Pair Theorem)
m∠5+m∠6=180° (Linear Pair Theorem)
m∠1+m∠3=m∠5+m∠6
m∠3=m∠6
m∠1=m∠5 (Subtraction Property of Equality)
Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
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