a) find the slope of the line using the given points.
Slope: 9 - -3/6-0 then slope is 12/6 which is 2
Then using formula: y = mx+b
-3 = 2(0) + b
b = -3
The equation is: y = 2x -3
B. Slope of a perpendicular is -reciprocal of first line. So here the slope will be -1/2
y = mx + b is used again
2 = -1/2(0) + b
b = 2
The equation is: y = -1/2x +2
Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
You have to get from $30 to $21.75
21.75/30=0.725 x 100= 72.5% of the original price
“what is the sum of the angles of a triangle” 180 degrees
