Answer:
x=7
Step-by-step explanation:
The triangle is right angled meaning that one of the angles is 90⁰.
90+30+(9x-3)=180 (Angle sum property of a triangle)
120+9x-3=180
9x-3=180-120
9x-3=60
9x=60+3
x=63/9
<em><u>x=7</u></em>
The angle will be (9×7)-3=<u>60⁰</u>
Answer:
a. corresponding angle theorem
b. vertical angle theorem
c. alternate interior angle theorem
Answer:
Part 1) 
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute in the linear equation

solve for b

substitute

Part 2) Draw the equation
we know that
To graph a line we need two points
we have the y-intercept (0,4) and (2,-4)
Plot the points, connect them and join to draw the line
see the attached figure
-3.4 + (-8 + 2) = ( _ + (-8) + 2)
-3.4 + (-6) = ( _ + (-8) + 2)
-9.4 = ( _ + (-8) + 2)
-9.4 = ( _ + -6)
Now remember whatever you do to one side you have to do to the other. :)
-9.4 - -6 = -6 - -6
= -3.4
You had to do one side of the equation before you could do the other side because you needed an answer to follow.