Answer:
c) y= -3x + 3
Step-by-step explanation:
Given equation
y= 1/3x+6
Here slope m1 = 1/3
We know that the slope of perpendicular lines
m1*m2 = -1
slope of perpendicular line m2 = -1/m1
= -1/ (1/3)
m2 = -3
Also the line passes through (2, -3)
equation of line is given by y = mx+b
y= -3
x= 2
m2 = -3
Applying above values to the equation of line,
-3 = (-3*2)+b
b=3
Hence equation of perpendicular line is y = -3x + 3
Answer:
90%
Step-by-step explanation:
50 x 2 is 100
40 x 2 is 80
5 x 2 is 10
80 +10 = 90
Answer: 7x + 70
Step-by-step explanation:
It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree