X = $ 52 for the 12 books Diego bought
--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2
Slope = -2
Perpendicular slope = 1/2
--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c
--------------------------------------------------------------
Find y-intercept
--------------------------------------------------------------
y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2
c = 7/2
--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
--------------------------------------------------------------
y = 1/2 x + 7/2
2y = x + 7
--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------
Hey there!!
We know:- <em>Vertically opposite angles are equal. </em>
Hence,
Angle 1 = Angle 2
... 6x + 11 = 10x - 9
... 20 + 6x = 10x
... 20 = 4x
... x = 20 / 4
... x = 5
Angle 1 = 6x + 11
... 6 ( 5 ) + 11
... 30 + 11
... 41
<em>Hence, the measure of angle 1 is 41 degrees. </em>
Hope my answer helps!
