Use Pythagorean theorem (a^2=c^2-b^2)
The formula for axis of symmetry is -b/2a.
For f(x):
0/2(4)
0/8
Axis of symmetry= 0
For g(x)
-(-8)/2(1)
8/2
Axis of symmetry= 4
For h(x)
-(-12)/2(-3)
12/-6
Axis of symmetry= -2
Order from least to greatest: -2, 0, 4
Final answer: h(x), f(x), g(x)
Hey there!
A quadrilateral has 360 degrees. So add all the degrees together to 360. 9x+1+5x-12+8x+61+90=360. 90 degrees is in the bottom left corner. Combine like terms. 22x+140=360. Subtract 140 from each side. 22x=220. Divide 22 on each side to get x=10. Plug in 10 for x in angle D. 5(10)-12=38. The measure of angle D is 38 degrees.
I hope this helps!
<h3>
Answer: C) incenter</h3>
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Explanation:
If you were to intersect the angle bisectors (at least two of them), then you would locate the incenter. The incenter is the center of the incircle which is a circle where it is as large as possible, but does not spill over and outside the triangle. Therefore this circle fits snugly inside the triangle.
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extra notes:
* The centroid is found by intersecting at least two median lines
* The circumcenter is found by intersecting at least two perpendicular bisector lines
* The orthocenter is found by intersecting at least two altitude lines
* The incenter is always inside the triangle; hence the "in" as part of the name. The centroid shares this property as well because the medians are completely contained within any triangle. The other two centers aren't always guaranteed to be inside the triangle.
* The red lines cut each angle of the triangle into two equal or congruent pieces.
The usual!! Just add up 5.03+13.7 which is 18.73. Then add that up with 108 which is 126.73!
