(7)
if r perpendicular to s then angles 1,2,3,4=90 deg.
if t perpendicular to s then angles 5,6,7,8=90 deg.
If two different lines intersect a third line at the same angle then they must be parallel.
r and t intersect s at the angle 2=90 deg and 6 = 90 deg, therefore r and t are parallel.
(6) use sum of angles in a triange =180 deg property.
first, the complement to 105 is an angle of 75 deg. then x=180-(24+75)=81 deg
x=81 deg
(5)
(4) sum of angles = 180 deg
62 +45 + k = 180
k = 180 -107 = 73
k = 73
In the second one I'm pretty sure you just measure the length of the points.
First change 7/20 into a decimal fraction: 35/100.
Then multiply this result by 100%: 35%
Answer:
B - y = 2x - 8
Step-by-step explanation:
Step 1: find slope
2x + 4y = 6
4y = -2x + 6
Make y the subject of the formula
y =( -2x + 6)/4
We can separate to get the slope
y = -2x/4 + 6/4
y = -x/2 + 3/2
Slope m = -1/2
Step 2: using a point slope form equation
y - y1 = m ( x - x1)
Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other
ie m = 2
Substitute m into the equation
y - y1 = 2(x - x1)
Step 3: sub the point
( 6 , 4)
x1 = 6
y1 = 4
y - 4 = 2( x - 6)
Step 4 : using a slope intercept form equation
Open the bracket
y - 4 = 2x - 12
y = 2x - 12 + 4
y = 2x - 8
The equation of a line is
y = 2x - 8
