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

Read more about similar shapes at:

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

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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!

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]

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3. The ratio of the angle measures in a triangle is 6: 5:4. Find the angle measures and classify the triangle.

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Answer:

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Step-by-step explanation:

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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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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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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:

[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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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.

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Step-by-step explanation:

option A describes the algebraic expression 10x + 2.

hope this answer helps you dear!

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

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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The answer is 86 - 12= 74

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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.

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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.

Learn more about permutations here:

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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

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

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Answer:

Its actually 9.4 × 10²

Step-by-step explanation:

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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.

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D

Step-by-step explanation:

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

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Answer:

Yes

Step-by-step explanation:

Because both triangles are equal in legnth.

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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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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.

help yall

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Answer:

x=2

Step-by-step explanation:

2x=5-1

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simplify 4/2 to 2, x=2

Answer:

B is the answer

The inequality is −

3≤x≤2

Step-by-step explanation:

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

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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Answer:

3/13 which is 0.23 as a decimal

Step-by-step explanation:

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

36

Step-by-step explanation:

Find the unit rate for each hour

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A number p is greater than -3 and less than 4.

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Answer:

- 3 < p < 4

Step-by-step explanation:

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

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