If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of
1 answer:
The value of the variable x is found to be x = 9.
<h3>What is termed as angle bisector?</h3>- In geometry, an angle bisector is a line that divides an angle into two equal angles.
- A bisector is something that divides a shape or thing into two equal portions.
- An angle bisector is a ray that divides an angle into two equal components of the same measurement.
A bisected angle divides the two sides in equals.
JKM = LKM
As, both are equal.
Then, each of these angles are 1/2 the angle JKL.
1/2 JKL = MKL
1/2 ×( 92) = 5x + 1
Further simplifying;
46 = 5x+1
Subtract 1 from each side
46-1 = 5x
45 = 5x
Divide each side by 5
45/5 = 5x/5
x = 9
Thus, the value of the unknown variable is found to be x = 9 units.
To know more about the angle bisector, here
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Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is .
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is .