TheMathWhiz

Hello again! This is my answer to the problem:

We know that the sum of interior angles in a triangle is 180 degrees. So the triangle made up of C, E, and the final, unlabled point (I am going to call this Y), must have this sum. This means that BCD must be less than 180-120=60 degrees.

I can find angle CDA, 180 (the number of degrees in a line) - 60 (the number of degrees we already know are on the line), which gives us 120.

Using this data, 180-(120+21 [the sum of the angles we alread know in the DYA triangle])=39 degrees, the number of degrees that are in angle AYD.

Because the angles are symmetric, angle CYE is also 39 degrees.

To finish this problem off, BCD is the same as ECD. When we know that two angles are 39 and 120, the final answer is that ECD/BCD is 180-(39+120) = 21 degrees.

To check, 21<60, so our answer does work!

BCD is 21 degrees.

Thank you so much for making an image, this really helped me solve the problem! I hope this helped!

The Math Whiz

Thank you so much! Let my try to work out the problem now!

Hello

Can you somehow post a picture of the problem (show the angles all drawn out) so that I can get a better idea of what I am trying to solve?

The Math Whiz

That is what I got! You can also convert it to a mixed number: 1 7/8.

Hello Guest!

Here is the work shown:

We first calculate the area of triangle FAE. 3*4=15. 12/2= 6.

Next, we calculate the area of triangle AEB. 3*6=18. 18/2= 9.

Then, we calculate the area of another triangle made up of D, E, and the point at 5, -3.  6*1=6. 6/2= 3.

Finally, we calculate the area of the rectangle of the points 5, -3, E, B, and C. 6*6=36. 36/2= 18.

Our last step is to add together the bold parts. This gives us the final answer of 36.

Hope this helped!

The Math Whiz

Hello,

If you search this question up on bing, you should find that algebra.com has the answer. I am unfortuanetely not able to get the link for you. Hope this helps!

The Math Whiz

The radius is always half the diamater, so the radius is 18/2=9.

When you multiple the numerator and denominator by 2, you get that 1/5=2/10, which is your answer.

The Math Whiz

Hello Guest!

When you find the answer of each induvidual part, you would get that the different areas are: 2, 4, and 6.

Adding them together, you get that the total area is 12 units squared.

I hope this helped!

-The Math Whiz

Hello Guest!!!

Here is an explanation: All circles are similar because no matter how you transform them or change the shape of them, they will always be the same thing, just with a few differences (eg: size, location, etc...).

I really hope this helped!

-The Math Whiz