Answer:
![\frac{ {x} + 9}{x - 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%20%20%2B%209%7D%7Bx%20-%204%7D%20)
Step-by-step explanation:
![\frac{ {x}^{2} + 5x - 36}{ {x}^{2} - 16} \\ \\ = \frac{ {x}^{2} + 9x - 4x- 36}{ {x}^{2} - {(4)}^{2} } \\ \\ = \frac{ x({x} + 9) - 4(x + 9)}{ (x + 4)(x - 4) } \\ \\ = \frac{ ({x} + 9) \cancel{(x - 4)}}{ \cancel{(x + 4)}(x - 4) } \\ \\ = \frac{ {x} + 9}{x - 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%205x%20-%2036%7D%7B%20%7Bx%7D%5E%7B2%7D%20%20-%2016%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20%20-%204x-%2036%7D%7B%20%7Bx%7D%5E%7B2%7D%20%20-%20%20%7B%284%29%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cfrac%7B%20x%28%7Bx%7D%20%20%2B%209%29%20%20-%204%28x%20%2B%209%29%7D%7B%20%28x%20%2B%204%29%28x%20-%204%29%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cfrac%7B%20%28%7Bx%7D%20%20%2B%209%29%20%5Ccancel%7B%28x%20%20-%204%29%7D%7D%7B%20%20%5Ccancel%7B%28x%20%2B%204%29%7D%28x%20-%204%29%20%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cfrac%7B%20%7Bx%7D%20%20%2B%209%7D%7Bx%20-%204%7D%20)
Answer:
![\angle ABC=23^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D23%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given information: The perpendicular bisector of side AB of ∆ABC intersects the extension of side AC at D, m∠CBD = 16° and m∠ACB = 118°.
Let the measure of ∠ABC is x°.
![\angle ABD=\angle ABC+\angle CBD](https://tex.z-dn.net/?f=%5Cangle%20ABD%3D%5Cangle%20ABC%2B%5Cangle%20CBD)
![\angle ABD=x+16](https://tex.z-dn.net/?f=%5Cangle%20ABD%3Dx%2B16)
In triangle ABD, DM is perpendicular bisector of AB.
In triangle ADM and BDM,
(Definition of perpendicular bisector)
(Definition of perpendicular bisector)
(Reflection property)
By SAS postulate,
![\triangle ADM\cong \triangle BDM](https://tex.z-dn.net/?f=%5Ctriangle%20ADM%5Ccong%20%5Ctriangle%20BDM)
(CPCTC)
![\angle MAD=x+16](https://tex.z-dn.net/?f=%5Cangle%20MAD%3Dx%2B16)
![\angle BAC=x+16](https://tex.z-dn.net/?f=%5Cangle%20BAC%3Dx%2B16)
According to angle sum property of a triangle, the sum of interior angles of triangle is 180°.
In triangle ABC
![\angle ABC+\angle ACB+\angle BAC=180](https://tex.z-dn.net/?f=%5Cangle%20ABC%2B%5Cangle%20ACB%2B%5Cangle%20BAC%3D180)
![x+118+(x+16)=180](https://tex.z-dn.net/?f=x%2B118%2B%28x%2B16%29%3D180)
![2x+134=180](https://tex.z-dn.net/?f=2x%2B134%3D180)
Subtract 134 from both sides.
![2x=180-134](https://tex.z-dn.net/?f=2x%3D180-134)
![2x=46](https://tex.z-dn.net/?f=2x%3D46)
Divide both sides by 2.
![x=\frac{46}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B46%7D%7B2%7D)
![x=23}](https://tex.z-dn.net/?f=x%3D23%7D)
Therefore, the measure of ∠ABC is 23°.
The seller makes a over all loss of $2000
Answer:
I would say ther ansewrr for this is going to most likely be c
Step-by-step explanation: