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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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The correct answer is 26
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Convert 780 cubic feet into gallons round answer to the nearest whole number
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Use two unit multipliers to convert 628 kilometers to centimeters
irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

\frac{628 km}{1}

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the  first unit multiplier by putting 1 km in the  denominator and 1000 m in the numerator, so the  km will cancel. So we multiply by the unit multiplier,

\frac{628 km}{1} \times \frac{1000m}{1km}

Now the km's will cancel:

\frac{628}{1} \times \frac{1000m}{1}

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the  first unit multiplier by putting 1 meter in the  denominator and 100 cm in the numerator, so the  meter's will cancel. So we multiply by the unit  multiplier

\frac{100cm}{1m}

\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}

We cancel the m's and we end up with:

628 \times 1000 \times 100 cm

= 62800000 cm

Thus 628 km is equal to 62800000 cm

5 0
4 years ago
Multiply the following complex numbers: <br> (7+2i)(2+3i)<br><br> Please don’t guess
UkoKoshka [18]

Answer:

14 + 25l + 6l^2

Step-by-step explanation:

(7 + 2i) (2 + 3i)

=> 14 + 4l + 21l + 6l^2

=> 14 + 25l + 6l^2

This is the correct answer

4 0
3 years ago
Read 2 more answers
OER type of question.
Vlad1618 [11]

Answer:

x=-3, y=-19

Step-by-step explanation:

we can solve by substitution.

y = 2x-1 we can derive from the second equation.

plugging it into the first equation, 2x -3(2x-1) = 15.

simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.

now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1

simplify, 18+y = -1 --> y = -19.

5 0
3 years ago
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