A.
You move the 16 to the other side, so you get 4y>-8-16, simplify to get 4y>-24 and divide both sides by 4 to get y>-6
If a triangle is made up of side lengths a, b and c
Given that c is the longest side length of the triangle,
The Pythagorean theorem can be used to tell if the triangle
is obtuse, acute or right
In an obtuse triangle,
a^2 + b^2 < c^2
In an acute triangle,
a^2 + b^2 > c^2
In a right angled triangle,
a^2 + b^2 = c^2
If the two linear equations have the same slope (and the SAME y-intercept), the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions (intersecting everywhere.)
The picture in the attached figure
we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.
Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH
This information means that angle GHJ = angle GFJ
We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
3x-8=16
3x=16+8
3x=24
x=8 units
Hence,
the length of FH = 2×8=16 units
the answer isFH=16 units