Step-by-step explanation:
find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0
Answer:
Step-by-step explanation:
Statements Reasons
1). M is the midpoint of segment AB 1). Given
B is the midpoint of segment MD
2). AM = MB and MB = BD 2). Definition of midpoint
3). MD = MB + BD 3). Segment Addition Postulate
4). MD = MB + MB 4). Substitution property of of Equality
5). MD = 2MB 5). Simplify
Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB
Let the medium angle be B degrees
the small angle be A degrees
the large angle be C degrees
Then
C = 2 B + 20 ..................X
5 B = A + C ..................Y
Sum of all angles
A + B + C = 180 .............Z
Applying Y in Z
5 B + B = 180
6 B = 180
B = 30
From X C = 2 x 30 + 20 = 60 + 20 = 80
From Y 5 x 30 = A + 80
150 = A + 80
150 - 80 = A = 70
Hence medium angle B = 30 degrees
the small angle A = 70 degrees
the large angle C = 80 degrees
(-24)+9=-15
(-15)-9=-24
n=-15
<h3><u>The value of x is equal to 8.</u></h3>
3(x + 1) = 19 + x
<em><u>Distributive property.</u></em>
3x + 3 = 19 + x
<em><u>Subtract x from both sides.</u></em>
2x + 3 = 19
<em><u>Subtract 3 from both sides.</u></em>
2x = 16
<em><u>Divide both sides by 2.</u></em>
x = 8
