<u>Answer-</u>
<em>The value of y is </em><em>6 units</em><em>.</em>
<u>Solution-</u>
Given ∆ABC ≅ ∆GEF
If two triangles are congruent, then the corresponding sides are also congruent.
So,
EF = BC, GF = AC
Putting the values,
--------------1
--------------------2
Putting the values of x in equation 1,
Therefore, the value of y is 6 units.
68 is the correct answer. Thank you for your help! Love doing this!
32 miles is the same as 19.8839 kilometers
There are 3.78541 liters in a gallon
Now we divide the two.
19.8839 / 3.78541 ≈ 5.25
The American car gets 5.25 km per liter. So the European car is better on gas economy.
Profit=revenue-cost
pA(m,h)=45h-1200m
pB(m,h)=60h-1800m
Profit is the same when pA=pB so
60h-1800m=45h-1200m
15h=600m
h=40m
So 40 haircuts per month at either location results in the same profit of $600 per month.
So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:
x + 2x = 66
3x = 66
x = 22
That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.
Hope I helped!
