Answer: DEb = 26°
Step-by-step explanation:
<u>Given information</u>
CEF = 7x + 21
FEB = 10x - 3
<u>Given expression deducted from the definition of the bisector</u>
FEB = CEF
<u>Substitute values into the expression</u>
10x - 3 = 7x + 21
<u>Subtract 7x on both sides</u>
10x - 3 - 7x = 7x + 21 - 7x
3x - 3 = 21
<u>Add 3 on both sides</u>
3x - 3 + 3 = 21 + 3
3x = 24
<u>Divide 3 on both sides</u>
3x / 3 = 24 / 3
x = 8
<u>Find the sum of the angle of CEF and FEB</u>
7x + 21 + 10x - 3
=7 (8) + 21 + 10 (8) - 3
=56 + 21 + 80 - 3
=77 + 80 - 3
=157 - 3
=154
<u>Subtract 154 from the straight angle</u>
DEB = 180 - 154
Hope this helps!! :)
Please let me know if you have any questions
Answer : (-∞,-1) U (-1, 1)
We need to find the interval(s) over which the function is increasing
We look at the intervals of x where the graph is increasing
Increasing interval of the graph is the part where the graph goes up.
At first the graph starts increasing and it increases till x=-1
So the first increasing interval is -infinity to -1 . We write it as (-∞,1)
Now, we look at the part where the graph changes direction
In the middle inverted U shaped graph , the graph starts increasing at x=-1 and increases till it changes direction. The graph is increasing till x=1
so second increasing interval is x=-1 to 1. we write it as (-1,1)
Now combine both intervals by a 'U' union
(-∞,-1) U (-1, 1)
A is linear because it’s true