The function y=60/x relates y, the time in hours that it takes micheal to travel to his grandparents house,to x , his average sp
2 answers:
Answer:
60 represents the distance
Step-by-step explanation:
Given : y is the time in hours that it takes Micheal to travel to his grandparents house,
x is his average speed in miles per hour.
To Find: What does the number 60 represents
Solution :
Time= y
x = speed
So, To find distance we will use formula :
-- A
Given function: --B
On comparing A and B
Distance = 60 miles
So, 60 represents the distance .
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Check the picture attached.
Let m(BAE)=m(ACD)=α
(BAE and ACD are congruent, since they are alternate interior angles, or Z angles)
Let m(ABE)=β.
So in triangle ABE, the measures of the angles are 90, α and β degrees.
This means that m(BCE)=β, since the 2 other angles of triangle BCE are 90 and α degrees.
thus, we have the similarity of triangles ABE and BCE,
so the following rations are equal:
so
so
(inches)
Remark, we can also apply Euclid's theorem directly.
Let m(BAE)=m(ACD)=α
(BAE and ACD are congruent, since they are alternate interior angles, or Z angles)
Let m(ABE)=β.
So in triangle ABE, the measures of the angles are 90, α and β degrees.
This means that m(BCE)=β, since the 2 other angles of triangle BCE are 90 and α degrees.
thus, we have the similarity of triangles ABE and BCE,
so the following rations are equal:
so
so
Remark, we can also apply Euclid's theorem directly.