Since LM = AM, point M must be on the perpendicular bisector of AL. Since AM = BM, BL must be perpendicular to AL. This makes ∆ALC a right triangle with hypotenuse AC twice the length of side AL. Hence ∠LAC = ∠LAB = 60°, and AL is angle bisector, median, and altitude.
ΔABC is isosceles with ∠A = 120°, and ∠B = ∠C = 30°.
Answer:
g(f(x)) = 3.15x
Step-by-step explanation:
To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.
If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,
g(f(x)) = 90 (0.035x)
g(f(x)) = 3.15x
THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.
3/4 of 3600..." of " means multiply
3/4 * 3600 =
10800/4 =
2700 <==
Answer:
Number of statues that can be painted are 17
Step-by-step explanation:
Initially Diana has
liters of paint remaining.
Every statue requires
liters of paint for painting.
We have to find how many statues we will be able to paint with this remaining paint.
To get the number of statues,
Number of statues = 
number of statues = 
=
= 17.5
Since the number of statues is not an integer the maximum number of statues that can be painted are 17.
Tim spends 500 minutes at the school.
Step-by-step explanation:
Given,
Time for lunch = 45 minutes
Time for study hall = 45 minutes
Total = 45+45 = 90 minutes
This represents 18% of the total minutes Tim spend at school.
Let,
x be the total minutes Tim spend at school.
18% of x = 90 minutes

Dividing both sides by 0.18

Tim spends 500 minutes at the school.
Keywords: percentage, division
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