<u>Solution</u><u> </u><u>:</u><u>-</u>
Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.
And we know that vertically opposite angles measure same. Thus,
∠2 = 135°
And,
∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )
135° + ∠6 = 180°
∠6 = 180° - 135°
∠6 = 45°
Now,
we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,
∠5 + 45° = 180°
∠5 = 180° - 45°
∠5 = 135°
Thus, the value of angle 5 is 135°
Hope that helps. :)
The graph of an absolute value parent function is a pair of rays in quadrant 1 & 2, as shown in the graph.
The absolute value function is
f(x) = |x| or y = |x|
We also know that the absolute function can be wriiten as
y = |x|
=> y = x or y = -x
Comparing with y = mx + c
We get
m = 1 or m=-1 and c = 0
c = 0 implies that the line passes through the origin.
Hence the slopes shall be -1, 1 & the line passes through the origin.
Option A, B & D are the right answers.
Answer:
12
Step-by-step explanation:
10 x 2 is 20
6 x 2 is 12