Find slope
slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-1,5) and (5,8)
slope=(8-5)/(5-(-1))=3/(5+1)=3/6=1/2
y=1/2x+b
sub a point
(-1,5)
x=-1, y=5
5=1/2(-1)+b
5=-1/2+b
add 1/2
5 and 1/2=b
y=1/2x+5 and 1/2
y=1/2x+11/2
Answer:
Step-by-step explanation:
Bisection is the division of a line or an angle into two equal halves. It means that a bisector is a line that divides an angle or another line into two equal halves. Therefore,
Line BE divides angle ABC into two equal halves. This means that
Angle ABC/2 = angle ABE = angle EBC
Therefore,.
2x + 20 = 4x - 6
4x - 2x = 20 + 6
2x = 26
x = 26/2 = 13
Therefore,
Angle ABE = 2 × 13 + 20
= 46 degrees
Answer:
Step-by-step explanation:
y + 9 = -5(x - 2)
y + 9 = -5x + 10
y = -5x + 1
Answer:
x = 3.5.
Step-by-step explanation:
This is an equilateral triangle ( as all angles = 60 degrees) so all 3 sides are of equal length.
Thus 2x - 3 = 4
2x = 7
x = 3.5.