Answer:
No
Step-by-step explanation:
You are given three pairs of angle ≅. You can not prove Δ≅Δ by AAA.
you do not have a side that you know are ≅.
The ASA means Angle - Side - Angles
Let us start subtracting 3 cos theta both sides so that we may get all theta terms on left side only
It is now : 4 cos theta - 3 cos theta = - (sqrt3)/ 2
1 cos theta = -( sqrt 3 ) /2
we know cos (pi-x)= - cos x And cos (pi+ x)= - cos (x)
********* let us first use :
- Cos ( pi - theta) = - ( sqrt 3 )/2
this implies cos (pi- theta )= (sqrt 3) /2
cos ( pi - theta )= cos (pi /6)
pi- theta = pi/6
pi- pi/6 = theta
5 pi/6 = theta
one of teh answer is 5 pi/6 . another value of theta would be :
(2pi - 5pi/6)= 7pi/6
Answer: 5 pi/6 and 7 pi/6
<h2>
Hello!</h2>
The answer is:
The correct option is the first option:
<h2>
Why?</h2>
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at: 
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!
Answer:
y =6x+17
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-7- -1)/(-4 - -3)
= (-7+1)/(-4+3)
-6/-1
6
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute a point into the equation
-1 = 6(-3) +b
-1 = -18+b
Add 18 to each side
17 =b
The equation is
y =6x+17
