Sides, or lengths and widths
Answer: See explanation.
Step-by-step explanation:
Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.
In order to use that method to solve the System of equations, you can follow the steps shown below:
Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"
Step 2: Then you must substitute"Equation A" into the other equation.
Step 3: Now you must solve for the other variable in order to find its value.
Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.
(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).
Answer:
Part 1) ![m\angle AFE=55^o](https://tex.z-dn.net/?f=m%5Cangle%20AFE%3D55%5Eo)
Part 2) ![m\angle EFB=125^o](https://tex.z-dn.net/?f=m%5Cangle%20EFB%3D125%5Eo)
Step-by-step explanation:
Part 1) what is the measure of angle AFE
we know that
The measure of the interior angle is the semisum of the arches that comprise it and its opposite.
<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)
so
![m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)](https://tex.z-dn.net/?f=m%5Cangle%20AFE%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20EA%2Barc%5C%20DB%29)
substitute the given values
![m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o](https://tex.z-dn.net/?f=m%5Cangle%20AFE%3D%5Cfrac%7B1%7D%7B2%7D%2840%5Eo%2B70%5Eo%29%3D55%5Eo)
Part 2) what is the measure of angle EFB?
we know that
---> by supplementary angles (form a linear pair)
so
substitute the given value
![55^o+m\angle EFB=180^o](https://tex.z-dn.net/?f=55%5Eo%2Bm%5Cangle%20EFB%3D180%5Eo)
![m\angle EFB=180^o-55^o=125^o](https://tex.z-dn.net/?f=m%5Cangle%20EFB%3D180%5Eo-55%5Eo%3D125%5Eo)
Answer:
![\boxed{\sf \ \ x = 1 \ \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20%5C%20%5C%20x%20%3D%201%20%5C%20%5C%20%7D)
Step-by-step explanation:
Hello,
First of all we need to take x different from 3 as dividing by 0 is not allowed
then for x real different from 3
![f(x)=0\\\\ \dfrac{x-1}{x-3}=0\\\\ x-1 = 0\\\\ x = 1](https://tex.z-dn.net/?f=f%28x%29%3D0%5C%5C%5C%5C%3C%3D%3E%20%5Cdfrac%7Bx-1%7D%7Bx-3%7D%3D0%5C%5C%5C%5C%3C%3D%3E%20x-1%20%3D%200%5C%5C%5C%5C%3C%3D%3E%20x%20%3D%201)
hope this helps