Answer:
x = 7
Step-by-step explanation:
Remember that the axis of symmetry (a vertical line that passes through the vertex) is exactly halfway between the two x-intercepts. Thus, the x-coordinate of the vertex is 7.
The complete question is
"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.
The radius of the incircle centered at point P is ? units."
The radius of the incircle centered at point P is 7 units.
We are given that point P is the incenter of the triangle, and is the center point of the incircle of the triangle.
<h3>What is incircle?</h3>
The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.
Here, The radius of the circle is going to be a perpendicular line from point P to any side of the triangle.
In the triangle ,
PZ = PY = PX,
Each measure of value is equal to the radius of the circle.
Therefore, we already know that PZ = 7 units making the radius, r = 7 units.
Learn more about incircle;
brainly.com/question/24280138
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Hopes this helps:
Answer: D.
1. Simplify 12/18 to 2/3.
2/3 = 16/24
2. Simplify 16/24 to 2/3.
2/3 = 2/3
3. Some both sides equal, there are infinitely many solutions.
Answer:
here ya go
Step-by-step explanation:
Question 1:
For that point where all the lines intersect to be an incenter, the following must be true
4x - 1 = 6x - 5
Subtract both sides by 6x
-2x -1 = -5
Add both sides by 1
-2x = -4
Divide both sides by -2
x= 2
Question 2:
Plug in x=2 into any of the two equations.
You get 7.
Have an awesome day! :)