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GenaCL600 [577]
2 years ago
5

In the diagram shown, AE 1/3AC and ED ll CB. Explain why df must be one-fourth length of CD

Mathematics
1 answer:
Blizzard [7]2 years ago
8 0

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,

\frac{DF}{CF} = \frac{BD}{BC}

See the link below for more about Angle Bisector Theorem of the Triangle:

brainly.com/question/21475560

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Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her f
andrey2020 [161]

Answer:

y = 3x + 4

Step-by-step explanation:

According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-

y indicates the total amount of books

x indicates the equal cost of books on 3 bookshelves

while

+4 indicates 4 other books on the fourth bookshelf

So, the expression will be

y = 3x + 4

Therefore the correct answer is y = 3x + 4

3 0
3 years ago
a small town has about 8000. a random sample of 100 people finds out that 50 are in favor of renovating some of the towns rundow
hodyreva [135]

Answer:

4000

Step-by-step explanation:

Out of their sample half of the people are in favor meaning that half of the total are also in favor and half of 8000 is 4000

I hope this helps and please don't hesitate to ask if there is anything still unclear!

3 0
3 years ago
How much of the circle is shaded 1/4+3/7
Snezhnost [94]
I hope this helps you



1/4+3/7


7/7.4+3.4/7.4


7/28+12/28

19/28
4 0
3 years ago
Mark has $500 in his savings account. If he saves $25 each month, how many months will it take him to have $1000.
scoray [572]

Answer: 20, I believe

Step-by-step explanation: You already have 500 which is half of 1000. 500 divided by 25 equals 20.

8 0
3 years ago
Exprees the ratio 3 inches to 3 feet(12 inches = 1 foot)
taurus [48]

Ratio being 12in./1ft.

3 inches is not one foot. it's 1/4 of a foot. 3in./1/4ft.

3 feet = 36 inches.

36in./3ft.

Hope This Helped! Good Luck!

7 0
3 years ago
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