The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.
<h3>
What is the Angle Bisector Theorem?</h3>
The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.
Note that the angle that has been dissected here is ∠CBD. Thus,
= 
See the link below for more about Angle Bisector Theorem of the Triangle:
brainly.com/question/21475560
Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)
m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>
Answer:
Step-by-step explanation:
a. (11x) + (22x)= 33x
b. (-6x) - (-6x) = 0
c. (-13) + (14x) - (+13t) = -13t + 14x - 13
d. (-4t) + (+4t) - (-6t) = 6t
Answer:
D one solution.
Step-by-step explanation:
It's linear. It is going to have at most 1 solution
8 + x/6 = x/6 - 4 + 5x/12 Subtract x/6 from both sides
8 = -4 + 5x/12 Add 4 to both sides
8+4 = 5x / 12 Combine
12 = 5x / 12 Multiply both sides by 12
12 * 12 = 5x * 12 / 12 Cancel
144 = 5x Divide by 5
144/5 = 5x/5
28.8 = x
