Answer:
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary, so ...
m∠A + m∠C = 180°
Substituting the given expressions, we have ...
(3x +6)° + (x+2)° = 180°
4x +8 = 180 . . . . . . collect terms, divide by °
x +2 = 45 . . . . . . . . divide by 4
3x +6 = 135 . . . . . . multiply by 3
This is the value of angle A in degrees, so ...
m∠A = 135°
Answer:
y = - x -
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 6 = (x - 5) ← is in point- slope form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , thus
y = - x + c ← is the partial equation
To find c substitute (- 1, - 2) into the partial equation
- 2 = + c ⇒ c = - 2 -
= -
y = - x -
← equation of perpendicular line
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