(05.02)One triangle on a graph has a vertical side of 5 and a horizontal side of 11. Another triangle on a graph has a vertical
2 answers:
Answer:
The answer is the option
Yes, because they are similar triangles
Step-by-step explanation:
we know that
The first and the second triangle are right triangles
The hypotenuses of these two triangles could lie along the same line, if the two triangles were similar
Verify if the triangles are similar
Remember that
If two triangles are similar then
the ratio of their corresponding sides is equal
so
simplify
--------> is rue
therefore
the triangles are similar
and the answer is
Yes, because they are similar triangles
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<u>Answer: </u>
Fuel efficiencies of two cars in that week are 20 miles per gallon and 40 miles per gallon.
<u>Solution: </u>
Let the two cars of family be A and B.
Gas consumed by car A = 15 gallons
Gas consumed by car B = 35 gallons
Let’s assume number of miles car A drove in that week = x miles
Assume number of miles car B drove in that week = y miles
Given that two cars drove a combine of 1700 miles in that week.
So we can say,
x + y = 1700 --- eqn (1)
Fuel efficiency of any car =
So fuel efficiency of car A =
And fuel efficiency of car B =
Given that sum of efficiencies of two cars = 60 miles per gallons.
On cross-multiplication we get,
5(7x +3y) =
7x +3y = 6300 --------- eqn (2)
Now we have following two equations and two variable to be determine.
x + y = 1700 -------- (1)
7x +3y = 6300 -------- (2)
On modifying equation (1) we get
y = 1700 - x --------(3)
On substituting value of y from equation (3) in equation (2) we get
7x + 3(1700-x) = 6300
7x + 5100 – 3x = 6300
4x = 6300 – 5100
4x = 1200
x = 300
Substituting value of x in equation 3 to get value of y
y = 1700 – 300 = 1400
Fuel efficiency of car A = =
= 20 miles per gallon
Fuel efficiency of car B = =
= 40 miles per gallon.
Hence fuel efficiencies of two cars in that week are 20 miles per gallon and 40 miles per gallon.