In the diagram shown, AE 1/3AC and ED ll CB. Explain why df must be one-fourth length of CD
1 answer:
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:
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The expression representing the amount of money that was raised for each member of the club is (in dollars)
When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, divided in b equal parts.
Also, we can write:
(it is since so
)
Profit earned is the extra money which we make after deducing the cost price of the process we're doing.
So, we get:
Profit earned = Total amount earned - Amount spent initially for preparation to earn
P = Selling price (S.P.) = Cost price (C.P.)
For the given case, we're given that:
- Amount made by the sign language club by selling popcorn at a festival = $627.50
- The cost price for the popcorn to the club = $95.0
The money raised = Amount made by selling popcorn - amount costed to the club for getting popcorn
Money raised = $627.50 - $95.0
If it is given that: m = number of members in the considered club, then:
Money each member of the considered club will get = Money raised divided in equal m parts = (in dollars)
(we don't write symbols like of currency generally, and understand it from context.)
Thus, the expression representing the amount of money that was raised for each member of the club is (in dollars)
Learn more about division here:
Answer:
hope this helps you
