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

Samuel drives 144 miles in 24 hours. If he continues at the same rate, he will have driven
miles in 6 hours.

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Answer:

36

Step-by-step explanation:

Find the unit rate for each hour

144/24=6

6 hrs every hour

6*6=36 miles in 6 hours

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What is \frac{1.88x10^6}{2000} in scientific notation?

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Its actually 9.4 × 10²

Step-by-step explanation:

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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

Is this triangle congruent?

Answers

Answer:

Yes

Step-by-step explanation:

Because both triangles are equal in legnth.

help yall

Solve and graph the absolute value inequality: 2x + 1) 5.

Answers

Answer:

x=2

Step-by-step explanation:

2x=5-1

2x=4

x=4/2

simplify 4/2 to 2, x=2

Answer:

B is the answer

The inequality is −

3≤x≤2

Step-by-step explanation:

Which of the following best describes the algebraic expression 10x +2?
A. The sum of ten times a number and two.
B. Ten times the sum of a number and two.
C. The product of ten plus a number and two.
D. Ten times the quantity of a number plus two.

Answers

Step-by-step explanation:

option A describes the algebraic expression 10x + 2.

hope this answer helps you dear!

May I please receive help???

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Answer:

sorry i don't know the answer!

Step-by-step explanation:

if i knew i would'v helped..

The answer is 86 - 12= 74

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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.

solve for x: 1/3(3x+6)+5x>20

Answers

Answer:

[tex]x > 3[/tex]

Step-by-step explanation:

[tex] \frac{1}{3} (3x + 6) + 5x > 20 \\ x + 2 + 5x > 20 \\ 6x + 2 > 20 \\ 6x > 18 \\ x > 3[/tex]

Find the sum. Write your answer in simplest form. 7/10 - 1/4

Answers

Answer:

9/20 or 45%

Step-by-step explanation:

If we make common denominators (for this example, we will make each denominator 20), this would make 7/10 = 14/20 and 1/4 = 5/20. From there, we subtract the numerators from each other (14-5) and leave the denominators alone. The difference comes out to 9/20 and there is no way to simplify it further, making it the final answer.

Emma is making a snack mix of pretzels and peanuts. For every batch, she uses 2 thirds cup of peanuts and 3 u 2 , 1 half cups of pretzels. Use the ratio of pretzels to peanuts to find the constant of proportionality. Write an equation that relates the amounts of pretzels and peanuts in the snack mix.

Answers

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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It took Sharon 105 minutes to wash three cars and put everything away. If she spent 10

minutes putting everything away, how long did it take to wash each car?

Answers

Well that would be 105 - 10. If you spent 105 minutes in total and 10 of that was putting your stuff away, take that 10 minutes away and you’d get 95. So, she spent 95 minutes washing 3 cars in total. If you divide that 95 into 3s, you get rounded 31 minutes each.

Use the​ slope-intercept form to graph the equation y = -4/3 x + 1

Answers

Answer:

the y intercept is 1 so you plot (0,1) on the graph, then you take -4/3 and go up 4 from the y intercept and over the left 3 times. Finally you go back to the y intercept and got down 4 and to the right 3 time then connect it with a line with arrows on both ends. hope this helps!

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The answer is -7/12! Please mark me brainest! :)

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x is 9


12x + 17 = -1 + 14x
18 = 2x
x = 9
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+1 +1
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/2 /2
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Answers

Answer:

therefore m=-3•5

Step-by-step explanation:

-39=18+4m

collect like terms

4m=18-39

4m=-14

divide both sides by 4m

m= -3•5

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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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Answers

Answer:

- 3 < p < 4

Step-by-step explanation:

Given p is greater than - 3 then - 3 is less than p

- 3 < p < 4

Mia’s house has increased in value by $12000 in 15 months. Work out the rate of increase in the value of Mia’s house. Give your answer in dollars per month.Bạn đã gửi

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Answer: 800 dollars per month

Step-by-step explanation:

12000 divided by 15 is 800

800 x 15 = 12000

triangle
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Answer:

12°

Step-by-step explanation:

it is a ratio let represent by x

6x+5x+4x=180

15x=180

x=12°

If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue sock? Round your answer to the nearest tenth.

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Step-by-step explanation:

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:

give the slope perpendicular to the equation 2x-y=5

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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]

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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The congruence symbol is this: ≅.

It’s saying to write the statement that’s saying both shapes are congruent. For example ABC ≅ DEF but use the letters in the shapes they gave.

Please help I don’t get the question

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Answer:

I need this in essay form......

Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.

PLEASEE I NEED THIS ANSWER ASAP PLEASE!!

Answers

Answer:

D

Step-by-step explanation:

5x^2-9 when x = -2

5(-2)^2-9

I know the answer is 11, but how? When I did it, I got -29 and I don’t know how to get 11. Could someone explain step by step on how to get the correct answer?

Answers

5(-2)² - 9

First, solve the one in the bracket which is -2 × -2 which gives us =4

5(4) - 9

Then, multiply 5 with 4 so

20 - 9

Then you'll get 11

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