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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:
Answer:
The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.
We pay $0.44 less this week.
Step-by-step explanation:
Given,
Cost of 1 sparkling bottle last week = $1.69
This week cost of 4 bottles is $5.
So we have to find the cost of 1 bottle.
For this we use the unitary method, we get the cost of 1 bottle;
Cost of 1 sparkling bottle this week =
The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.
For finding how much we pay less this week, we have to subtract cost of 1 sparkling bottle this week from cost of 1 sparkling bottle last week.
Framing the above sentence in equation form, we get;
Hence we pay $0.44 less this week.