This takes too long to do. I will provide the steps.
For each point given, plug into the equation y = - x.
Point 1:
(-1, -3)
y = -x
y = -(-1)
y = 1
The first point reflected across the line y = - x is (-1, 1).
Do the same with the remaining points.
the square root of 121, because when rationalized its 11.
Answer:
<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>
<em>Part 2 : Value of x ⇒ 45°,</em>
<em>Part 3 : Measure of Angle U ⇒ 126°</em>
Step-by-step explanation:
~ Part 1 ~
We know that ∑ of angles in a triangle is 180;
m∠ U + m∠ V + m∠ W = 180°,
<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>
~ Part 2 ~
Now let us simplify the equation above to solve for x;
3x - 9 + 30 + 24 = 180,
3x - 9 = 126,
3x = 135,
x = 45 degrees ( ° ) ⇒
<em>Value of x ⇒ 45°</em>
~ Part 3 ~
If it is known that m∠ U ⇒ 3x - 9;
m∠ U = 3 * ( 45 ) - 9,
m∠ U = 135 - 9,
m∠ U = 126 degrees ( ° ) ⇒
<em>Measure of Angle U ⇒ 126°</em>
Knowing it has to be perpendicular, the slope of the new line has to be -2.
y = -2x + b
Plug the coordinate pair into the equation.
10 = -2(7) + b
10 = -14 + b
24 = b
So the final equation for the line is...
y = -2x + 24
