Question

can someone help me with geometry questions? ill give you a medal + fan. please?

Answer 1

Question?

Answer 2

ill attach a picture give me a second

Answer 3

AC = 30 , m<ECB =27degrees

Answer 4

This is because in a rectangle, diagonals bisect each other and they're congruent

Answer 5

thank you can you help me with some more?

Answer 6

Sure haha

Answer 7

since this is an assessment, you should honestly do it yourself, but nevertheless here's an explanation:

Since we know that ABCD is a rectangle, we actually know a few things:
1) AC = BD
2) AE = BE = DC = CE
3) <EAB = <ABE = <EDC = <ECD
4) AD = BC
5) AB = DC
6) All the angles of the rectangle itself are 90 degrees

To solve for AC:
since we know that AE = BE we can actually solve for x and get the actual side length:
\[AE = BE\]
\[3x+6 = 6x -3\]

(I will leave it to you to solve this, unless you don't know how to do so, then I will help you do so)

Now once we the value of x and plug it in to get the length of AE. We know that EC = AE, thusly we know that AC = 2AE.

To solve for m<ECB:
so we know that <ECB = <EBC, because EB = CE and thus EBC is an isosceles triangle. Thus if we solve for m<EBC we will get m<ECB. Now <EBA and <EBC make up a 90 degree angle. And so we know that \[<EBA +<EBC = 90\] since we know the value of EBA we can plug that in so\[63+<EBC = 90\]and solve for <EBC, which we know is the same value as m<ECB

Answer 8

I am absolutely horrible at everything in math

Answer 9

I believe it is (4,6)

Answer 10

how did you find that?

Answer 11

http://www.algebra.com/algebra/homework/Parallelograms.faq.question.746030.html
This isn't the same question, but this is an example of a different problem on how to solve for the fourth vertex. Take a look at it and see if you understand it.

Answer 12

oh okay i get it. thank you so much.

Answer 13

You're welcome.