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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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14, 15 and 16 please
WARRIOR [948]
14). (Take π value as 22/7)
circumference = 66in
2πr = 66in
2×22/7×r = 66
r = 66×7/2×22
r = 21/2in
d = 2r => d = 2×21/2
therefore diameter of the circle = 21in

15). (Take π value as 3.14)
Circumference = 3.14m
2πr = 3.14m
2×3.14×r = 3.14
r = 3.14/3.14×2
r = 1/2m
Therefore the radius of the circle = 0.5m

16). (Take π value as 22/7)
Circumference = 33km
2πr = 33km
2×22/7×r = 33
r = 33×7/2×22
r = 21/4
d = 2r
d = 2×21/4
d = 21/2km
Therefore the diameter of the circle = 10.5km
4 0
3 years ago
For all x, 5-3(x-4)=
velikii [3]

Simplify

Let's simplify step-by-step.

x(5)−3(x−4)

Distribute:

=x(5)+(−3)(x)+(−3)(−4)

=5x+−3x+12

Combine Like Terms:

=5x+−3x+12

=(5x+−3x)+(12)

=2x+12

Answer:

=2x+12

8 0
3 years ago
(02.0
Anestetic [448]

Answer:

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3 0
3 years ago
Which letter has at least one line of symmetry? <br> a.D<br> b.J<br> c.G<br> d.L
iren2701 [21]
The correct answer is A. D

That is because D has a horizontal line of symmetry, as can be seen on it.
8 0
3 years ago
An airplane flies at a rate of 356 km/h. the plane travels a total distance of 1424 km. (use distance = rate * time for your equ
frozen [14]

Your distance is 1424 and your rate is 356. As you said, d = r*t. Since you don't have the time you would do 1424 divided by 356. This leaves you with a time of 4 hours. (Don't forget units!)

6 0
3 years ago
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