If you would like to know what is 3 minus 2 2/3, you can calculate this using the following steps:
3 - 2 2/3 = 3 - 8/3 = 9/3 - 8/3 = 1/3
The correct result would be 1/3.
Peter reflecting trapezoid ABCD across the y-axis would not change the degree measurement of angle A
The degree measurement of angle A is 115 degrees
<h3>How to determine the degree measurement of angle A?</h3>
From the question, we have:
A = 115 degrees
B = 65 degrees
The transformation is a reflection across the y-axis
Reflection is a rigid transformation; and it does not change the angle measure or side lengths.
After the transformation; we have:
A = 115 degrees
B = 65 degrees
Hence, the degree measurement of angle A is 115 degrees
Read more about transformation at:
brainly.com/question/4289712
Answer:
X=5/7
Step-by-step explanation:
See answer above pls____
Answer:
We conclude that option A is true as x = 1 is the root of the polynomial.
Step-by-step explanation:
Given the polynomial
![f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%5C%3A%3D%5C%3Ax%5E2%5C%3A%2B%5C%3A2x%5E2%5C%3A-%5C%3Ax-2)
Let us determine the root of the polynomial shown below.
![\:0=\:x^2\:+\:2x^2\:-\:x-2](https://tex.z-dn.net/?f=%5C%3A0%3D%5C%3Ax%5E2%5C%3A%2B%5C%3A2x%5E2%5C%3A-%5C%3Ax-2)
![0=3x^2-x-2](https://tex.z-dn.net/?f=0%3D3x%5E2-x-2)
switch sides
![3x^2-x-2=0](https://tex.z-dn.net/?f=3x%5E2-x-2%3D0)
as
![3x^2-x-2=\left(3x+2\right)\left(x-1\right)](https://tex.z-dn.net/?f=3x%5E2-x-2%3D%5Cleft%283x%2B2%5Cright%29%5Cleft%28x-1%5Cright%29)
so the equation becomes
![\left(3x+2\right)\left(x-1\right)=0](https://tex.z-dn.net/?f=%5Cleft%283x%2B2%5Cright%29%5Cleft%28x-1%5Cright%29%3D0)
Using the zero factor principle
![3x+2=0\quad \mathrm{or}\quad \:x-1=0](https://tex.z-dn.net/?f=3x%2B2%3D0%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax-1%3D0)
solving
![3x+2=0](https://tex.z-dn.net/?f=3x%2B2%3D0)
![3x=-2](https://tex.z-dn.net/?f=3x%3D-2)
![\frac{3x}{3}=\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B-2%7D%7B3%7D)
![x=-\frac{2}{3}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B2%7D%7B3%7D)
and
![x-1=0](https://tex.z-dn.net/?f=x-1%3D0)
![x=1](https://tex.z-dn.net/?f=x%3D1)
The possible roots of the polynomial will be:
![x=-\frac{2}{3},\:x=1](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B2%7D%7B3%7D%2C%5C%3Ax%3D1)
Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.