Please help!!
2 answers:
Answer:
The value of x is 24.
Step-by-step explanation:
Given information: In ΔGHE, ED is angle bisector, EG=44.8 millimeters, GD=(x+4) millimeters, DH=35 millimeters, and EH=56 millimeters.
According to the angle bisector theorem, an angle bisector divide the opposite side into two segments that are proportional to the other two sides of the triangle.
In ΔGHE, ED is angle bisector, By using angle bisector theorem, we get
Multiply both the sides by 35.
Subtract 4 from both the sides.
Therefore the value of x is 24.
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For this case we have the following table:
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:
Where,
We choose an ordered pair:
Substituting values:
Rewriting:
Thus, the function f (x) is:
On the other hand, the function g (x) is:
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:
Where,
We choose an ordered pair:
Substituting values:
Rewriting:
Thus, the function f (x) is:
On the other hand, the function g (x) is:
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)