Equilateral triangles have interior angles of measure 60º. AL bisects angle MAY, so triangle ALY has angles 30º, 60º, and 90º. This means AY and LY occur in a ratio of √3 to 1. AY is half of AN, so AY = 9 and LY = 9/√3 = 3√3.
We can split up triangle MAN into 6 triangles with the same area as ALY, whose area is
1/2 * AY * LY = 1/2 * 9 * 3√3 = (27√3)/2
so that MAN has area
6 * (27√3)/2 = 81√3, or about 140.296.
Alternatively, we can observe that ML has the same length as AL, which by the Pythagorean theorem has length
AL = √(AY^2 + LY^2) = 6√3
Then MAN has area
1/2 * AN * (ML + LY) = 1/2 * 18 * (6√3 + 3√3) = 81√3
Answer:
A = 7 . B = 31 . C = 28 . D = 13 . E = 65
Step-by-step explanation:
its right because according to my calculations and hypothesis and my analysis it was correct
Let
b---------> <span>the cost of one flower bouquet
</span>v--------> <span>the cost of one vase.
we know that
2b+2v=12.50-----> </span>Multiplied by -1------------->-2b-2v=-12.50
8b+2v=29---------------------------------------------> 8b+2v=29
I add the two equations ------------------------
6b=16.50
b=2.75
2*2.75+2*v=12.50---------------> v=(12.50-5.5)/2---------> v=3.5
the answer is
the cost of one flower bouquet is $2.75
the cost of one vase is $3.5
Since the equation is parallel to y=2x-4 that means they have the same slope. Now that you have the slope and fortunately a point, you can solve this by using point slope formula
Which is what I did on the attached picture and just rearrange it after solving to Ax+By=C/2x-y=6
