If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42

If The Length Of Overline AC Equals 84, What Is The Length Of The Midsegment Overline DE ?A) 28B) 32C)

Answers

Answer 1

Similar shapes may or may not be congruent

The length of DE is 42 units

The given parameters are:

[tex]\mathbf{AC = 84}[/tex]

[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint

The equivalent ratio is then represented as:

[tex]\mathbf{BD : DE = BA : AC}[/tex]

Substitute [tex]\mathbf{BA = 2BD}[/tex]

[tex]\mathbf{BD : DE = 2BD : AC}[/tex]

Express as fraction

[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]

Make DE the subject

[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]

[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]

Substitute 84 for AC

[tex]\mathbf{DE= \frac{84}{2 }}[/tex]

[tex]\mathbf{DE= 42}[/tex]

Hence, the length of DE is 42 units

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Related Questions

Encuentre el valor de x en la siguiente ecuación 6x = 4x + 6

Answers

Answer:

[tex]6x = 4x + 6 \\ 6x - 4x = 6 \\ 2x = 6 \\ x = \frac{6}{2} \\ \boxed{x = 3}[/tex]

Answer:

x = 3

Step-by-step explanation:

In pic

(Credits: Symbolab)

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Answer: a

Step-by-step explanation: In the picture

please give me a brainliest answer

Step-by-step explanation:

just look at the graph and check the typical "special" points.

e.g. when x = 0, and when y = 0, and maybe (depending on the curve) some other interesting ones.

so, what does the graph tell for x = 0 ?

it says y = 5.

that rules out C and D, because they would deliver y = 1/5 for x = 0.

so, it can only be A or B.

now, what does the graph tell us for y = 0 ?

ok, it tells us, x = 1.

that does not help us in this case, as both, A and B deliver y = 0 for x = 1

so, let's look at another good point. good points are points, where we can see pretty precisely their coordinates on the chart, and where these coordinates are even integer numbers.

I see e.g.

x = 2, and y = -5

let's try A

-5 = -5 × cubic root(2 - 1) = -5 × cubic root (1) = -5×1 = -5

so, -5 = -5, that is correct.

let's verify by checking also B

-5 = 5 × cubic root (1 - 2) = 5 × cubic root (-1) = 5×-1 = -5

-5 = -5, again, this is correct.

hmmmmm.

when we think about it, in fact, A and B are the same function (by the way, C and D are equal to each other too).

either your teacher made a mistake or tried to trick you.

A and B are both the right answer.

why ?

A (I only write "cr" for cubic root now)

y = -5 × cr(x - 1) = 5 × -1 × cr(x - 1) = 5 × cr((-1)³(x - 1)) =

= 5 × cr(-1 × (x - 1)) = 5 × cr(x×-1 - 1×-1) = 5 × cr(1 - x) = B

so, A and B are actually equal.

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Step-by-step explanation:

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Answer:

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Determinen las medidas algebraicas necesarias para calcular el área del hexágono

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Answer: i cant understand that laugaue so hopefully u do well sorry

Step-by-step explanation:

HELP ASAP NOW LIKE NOW
Consider cashiers and people who line up for the cashiers in a supermarket, in how many ways can 3 people line up for 3 cashiers

Answers

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.

Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ =  3 × 2 × 1 = 6 ways.

So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

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Answer:

60 ways

Step-by-step explanation:

So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized

3,0,0

0,3,0

0,0,3

2,1,0

2,0,1

1,2,0

1,0,2

0,2,1

0,1,2

1,1,1

So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60

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Answers

Answer:

- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - y = 5 ( subtract 2x from both sides )

- y = - 2x + 5 ( multiply through by - 1 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

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Answer:

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Step-by-step explanation:

if i knew i would'v helped..

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Answers

9d+3 that’s the answer I think though try it

Answer:

10d

Step-by-step explanation:

6d+5 =11d

2-3d = -1d

11d-1d= 10d

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Answer:

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Step-by-step explanation:

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x is 9


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D

Step-by-step explanation:

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Answer:

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Answer:

Explanation:

So the equation it's asking you to do is like y=kx ,

so your k is 2/3.

y=2/3x

Then for x it's 3 1/2.

y= 2/3(3 1/2)

now your "y" is any variable to hold the other too.

Hope this helped!

y= 2/3( [tex]3\frac{1}{2}[/tex]) is the  equation that relates the amounts of pretzels and peanuts in the snack mix.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Emma is making a snack mix of pretzels and peanuts

For every batch, she uses 2/3 cup of peanuts and [tex]3\frac{1}{2}[/tex] cups of pretzels

We need to find an equation that relates the amounts of pretzels and peanuts in the snack mix.

The equation will be in the form of y=kx

From the given information the value of k is 2/3

y=2/3x

y= 2/3( [tex]3\frac{1}{2}[/tex])

Hence, y= 2/3( [tex]3\frac{1}{2}[/tex]) is the  equation that relates the amounts of pretzels and peanuts in the snack mix.

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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The congruence symbol is this: ≅.

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