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:
I would set this up as:
let: lesser number = x
greater number = 2x + 5
Restating the word problem:
lesser number + greater number = 38
x + 2x + 5 = 38
Solving: 3x + 5 = 38
- 5 -5
---------------
3x = 33
--- ---
3 3
x = 11
Substitution for the greater number:
2(11) + 5
22 + 5
27
Answer:
3 : (1/2) =
Step-by-step explanation:
Divide: 3 : 
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 
is 
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
In words - three divided by one half = six.
Answer:
Each person will earn $16.
Step-by-step explanation:
Given that:
Amount of loss faced by the company = $144
Number of people who would share the amount = 9
Let,
x be the share of each person.
Number of people * Share per person = Total loss
9x = 144
Dividing both sides by 9
x = $16
Hence,
Each person will earn $16.
Answer:
(10/100)*94.9 = 9.49
Step-by-step explanation:
Divide by 100 and multiply by 100-5.1 = 9.49
