I think the answer is 300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
Answer:
A=124°
Step-by-step explanation:
5x - 5 = 180
5x = 185
x = 37
A=124
If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal:
![\frac{(x-h) ^{2} }{ a^{2} } - \frac{(y-k) ^{2} }{ b^{2} } =1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-h%29%20%5E%7B2%7D%20%7D%7B%20a%5E%7B2%7D%20%7D%20-%20%5Cfrac%7B%28y-k%29%20%5E%7B2%7D%20%7D%7B%20b%5E%7B2%7D%20%7D%20%3D1)
. a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem.
![( 2)^{2} + b^{2} =( 3)^{2}](https://tex.z-dn.net/?f=%28%202%29%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%28%203%29%5E%7B2%7D%20)
and
![b= \sqrt{5}](https://tex.z-dn.net/?f=b%3D%20%5Csqrt%7B5%7D%20)
. Now we have everything we need to rewrite the equation:
I think is would be $25.04. I'm sorry if i get this wrong. I am only a middle schooler. Sorry if this didn't help.<span />