If the equation of a perpendicular bisector of a triangle is y = 2x + 7, what is the slope of the side that it is bisecting? Exp
1 answer:
Answer:
slope = -
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 7 is in this form with slope m = 2
This line is perpendicular to the side it bisects.
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
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The equations that can be used to the value of x are 1) x+90+(x-10)=180 and 2) x+90+(2x+40)=180.
<u>Step-by-step explanation:</u>
Two properties can be used to find the value of the x.
1) Sum of Interior angles of a triangle is 180°.
⇒x+90°+(x-10)°=180.
2x+80°=180°.
2x=180°-80°.
2x=100°.
x=50°.
⇒(x-10)°=40°.
2) The Angle of the straight line is 180°.
From the given diagram, BC is a straight line ray with C as intersecting point. this will result in two angles. (refer the diagram).
The sum of those two angles will be 180°.
⇒ (x-10)°+ (2x+40)°=180°.
(3x+30)°=180°.
3x=150°.
x=50°.
∴(x-10)°=40° and (2x+40)° = 140°.
∴The equations that can be used to the value of x are x+90+(x-10)=180 and x+90+(2x+40)=180.
