Why are these two angles congruent?
2 answers:
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Given:
In △ABC is a right angle triangle.
AC is 6 units longer than side BC.
To find:
The length of AC.
Solution:
Let the length of BC be x.
So, Length of AC = x+6
According to the Pythagoras theorem, in a right angle triangle
△ABC is a right angle triangle and AC is hypotenuse, so
Subtract 68 from both sides.
Divide both sides by 2.
Splitting the middle term, we get
Side cannot be negative, so x=2 only.
Now,
Therefore, the length of AC is 8 units.
Answer:
of the distance
Step-by-step explanation:
We know that a ferry traveled of the distance between two ports in
hours.
In order to calculate what fraction of the distance between the two ports can the ferry travel in one hour we can do the following reasoning :
The rate of the ferry is the same at any time.
The ferry will travel of the distance in
hours.
If we divide each fraction by 3 ⇒
and
We do this to obtain a ''1'' in the numerator of the second fraction (the hours fraction). Now, we can say that :
The ferry will travel of the distance in
hours.
Finally, we multiply each fraction by 7 (in order to obtain the distance for 1 hour) ⇒
and
We found out that the ferry will travel of the distance in 1 hour.