Answer:
C) 56
Step-by-step explanation:
DEG and FEG are on a straight line forming 180 degree.
Set your formula up as
180 = (3x+31)+(2x-6)
180 = 3x +2x +31 - 6
180 - 31 + 6 = 5x
155 = 5x
155/5 = x
31 = x
Now substitute 31 in place of x
FEG = (2*31-6)
FEG = 56
Answer:
x=-1
Step-by-step explanation:
-15=22x+7
Subtact 7 both sides
-15-7=22x+7-7
-22x=-22
Divide both sides by -22
-22x=-22
x=-1
Answer:
A) ![\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The rotation matrix for a clockwise rotation through angle θ is given by ...
![M=\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ccos%7B%28%5Ctheta%29%7D%26-%5Csin%7B%28%5Ctheta%29%7D%5C%5C%5Csin%7B%28%5Ctheta%29%7D%26%5Ccos%7B%28%5Ctheta%29%7D%5Cend%7Barray%7D%5Cright%5D)
When θ = 90°, the matrix becomes the one in choice A).
Answer: 3/2
Step-by-step explanation:
<u>Given</u>
6/10 + 9/10
<u>Add the numerator together</u>
= (6 + 9) / 10
<u>Simplify by addition</u>
= 15 / 10
<u>Simplify to simplest form by division</u>
= (15 ÷ 5) / (10 ÷ 5)
= 3 / 2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The rule of the translation
Step-by-step explanation:
we know that
In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move
