Answer:
x = -10
Angle 2 = 49°
Angle 3 = 49°
Step-by-step explanation:
In the given figure, it's an isosceles triangle
so, angle 2 = angle 3
( since their opposite sides are equal )
now,
in the given triangle,
=》Angle 2 + Angle 3 + 82° = 180°
( sum of all interior angles of the triangle = 180° )
=》Angle 2 + Angle 3 = 180° - 82
=》Angle 2 + Angle 3 = 98°
=》2 × Angle 2 = 98°
( since, angle 2 = angle 3 )
=》Angle 2 = 98° / 2
=》Angle 2 = 49°
so, Angle 2 = 49° = Angle 3
now,
Angle 2 = x + 59
=》49 = x + 59
=》x = 49 - 59
=》x = -10
It's the last answer. Think about when you move a point on a graph left 4 spaces it's on the x axis. Because it's going left it's going towards the negative numbers hence minus and not plus. some concept for the y axis.
Answer:
1) Congruent
2) Supplementary
3) Congruent
4) Congruent
Step-by-step explanation:
1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.
3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.
4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.
f(x) + g(x) = 5x - 3 - 2x + 7
= 3x + 4
Hope this helps! If you have any questions, feel free to ask.
Answer:
Step-by-step explanation:
first, we find the slope
slope = (y2 - y1) / (x2 - x1)
(8,2)....x1 = 8 and y1 = 2
(7,1)....x2 = 7 and y2 = 1
now we sub
slope = (1 - 2) / (7 - 8) = -1/-1 = 1
y = mx + b
slope(m) = 1
use either of ur points...I will use (8,2)...x = 8 and y = 2
now we sub and find b, the y intercept
2 = 1(8) + b
2 = 8 + b
2 - 8 = b
-6 = b
so ur equation is : y = 1x - 6....or just y = x - 6 <===
