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:

https://brainly.com/question/20536565


Related Questions

help pls im in need!!

Answers

Answer:

x=-23

Step-by-step explanation:

-0.48x+0.28=4.6

-0.2x=4.6

x=-23

Answer:

it’s -0.2x =4.6

Step-by-step explanation:

X = -23 is the answer for the equation but

your asking for what the number is before the x right

it’s -0.2x =4.6

than multiple both sides by 10

divide both sides by -2

simplify

X=-23

3.6w=2(0.8w+12)
no link pls ill give you a brainlist

Answers

Hi there! I am GraceRosalia (SilentNature), and I hope my answer will help you!

3.6w=2(0.8w+12)

Use the Distributive Property:

3.6w=1.6w+24

Move all the constants to the left side:

3.6w-1.6w=24

2w=24

Divide both sides by 1.8 to isolate w:

w=12

Hope this helps you!! Please mark Brainliest!!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

W=12

Step-by-step explanation:

3.6w=2(0.8w+12)

3.6w=1.6w+24

Subtract 1.6w from both  sides

3.6w-1.6w=1.6w+24-1.6w

Simplify

2w=24

Divide both sides by 2

2w/2=24/2

Simplify

w=12

i need hlep on this pls

Answers

Answers:a) 24b) 24

It's not a typo that both answers are 24

======================================================

Explanation:

Each time the weight goes up by 1 ounce, the cost goes up by 24 cents. So the unit cost is 24 cents per ounce. This is exactly the slope of the line because the slope is the rate of change. It tells us how fast something is changing.

You can use the slope formula to answer this question, but I think it's easier to simply locate the point (1,24) and then note that slope = rise/run = y/x = 24/1 = 24. This shortcut only works because the line goes through the origin.

The equation of this line is y = 24x

x = number of ounces

y = cost in cents

Step-by-step explanation:both are 24

Please help me solve 9 and 10 ASAP please

Answers

Answer:

[tex] \sqrt{ |?| } [/tex]

x-7= -3(x+1) over 5

What is x?

Answers

Answer is x=4. Multiply by 5 on each side to cancel out the denominator.
5x-35=-3x-3
Add 3x and 35 to each side
5x + 3x = -3 + 35
8x = 32
Divide both by 8
X = 4

3
A line passes through the point (10, 1) and has a slope of
2
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 2x - 19

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = (x , y) = 1

m = slope = 2

x = (x , y) = 10

b = y-intercept

Plug in the corresponding numbers to the corresponding variables:

1 = 2(10) + b

First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.

First, multiply 2 with 10:

1 = (2 * 10) + b

1 = 20 + b

Next, subtract 20 from both sides of the equation:

1 = b + 20

1 (-20) = b + 20 (-20)

1 - 20 = b

b = -19

Plug in 2 for m, and -19 for b.

y = 2x - 19 is your slope-intercept form.

~

4x + b = 2x + c, solve for x

Answers

Answer:

[tex]4x + b = 2x + c \\ 4x - 2x = c - b \\ 2x = c - b \\ \\ x = \frac{c - b}{2} \\ \\ x = \frac{c}{2} - \frac{b}{2} [/tex]

I hope I helped you^_^

Solve this

3x + 2 = 26

Answers

Answer:

x=8

Step-by-step explanation:

Answer:

  x = 8

Step-by-step explanation:

Undo what is done to x. We see that x is multiplied by 3 and then 2 added. We undo these steps in reverse order.

  3x +2 = 26 . . . . . . given

  3x = 24 . . . . . . . . . subtract 2 from both sides of the equation

  x = 8 . . . . . . . . . . . divide both sides of the equation by 3

im confused so yea
help is requested

Answers

Answer:

really I am confused and you are putting this here

Answer:

h = g^2 f

Step-by-step explanation:

because it just is your welcome

c = 3/4y + b, solve for b

Answers

Answer:

b = c - 3/4y

Step-by-step explanation:

move 3/4y to the other side with c:

c - 3/4y = b

b = c - 3/4y

BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!

Answers

Answer:

plus ten points huh i only see five

Step-by-step explanation:

Answer:

|-x| + 3

Step-by-step explanation:

I say that because -x will be turned into positive x and then add the 3, and you will get the answer.

The graph below represents the motion of a car.




What is the average speed of the car?

Answers

Answer: 2 Kilometers(km) a minute(min).

Step-by-step explanation:

If we look at the graph, the 1km and 2min meet.

Answer:

24 km/h

Step-by-step explanation:

The graphic shows 4 km in ten minutes

[tex]s=\frac{4 km}{10 min} (\frac{60 min}{1 hour}) =\frac{(4)(60)}{10} =24km/hr[/tex]

I hope this help you

Which expression is equivalent to m-2m-6m?

Answers

Answer:

Which expression is equivalent to m-2m-6m?

if this is correct can i have brainliest

guys pls help me!!!!!!

Answers

Answer:

it's 22 degrees ..............

HELP ME PLEASE!!!!! I NEED THIS BRAINIEST IF CORRECT ANSWER!!!!!

Answers

Answer:

- 3/4 feet per hour

Step-by-step explanation:

Rate of change is the slope.

Take two points on the graph and use the slope formula.

Points:

(0, 9) and (4, 6)

The slope is:

m = (6 - 9)/(4 - 0) = -3/4

How to include a negitive number (s) in a math problem

Answers

Answer:

Adding a negative number is the same as subtracting a positive number — that is, go down (to the left) on the number line. This rule works regardless of whether you start with a positive or negative number.

Step-by-step explanation:

Please help meeeee how do you rotate this?????

Answers

Answer:

Hello,

Here is the answer,

After rotating your graph would look like this with P being at (1, -2) and C still being at (-2, 5). The Upper point is C the lower point is P

Step-by-step explanation:

Determine the sum of the following series. ∑n=1[infinity](4^n+8^n/13n)

Answers

N=1 4+7n=71 that is the answer

help! please !!!!!!!!!!! lots of it

Answers

Answer:

Equilateral triangle

Step-by-step explanation:

All the angles are equal. So, it is and equilateral triangle and each angle is 60

Solving inequalities unit portfolio task 2-3?

Answers

Answer:

What is the question from Solving inequalities unit portfolio task 2-3?

Step-by-step explanation:

Comment it down below and I will solve it! :D

10x−25y Factor the expression using the GCF

Answers

Answer: 2x-5y

Step-by-step explanation:

The common term in this expression (GCF) is 5. When you take out the 5, you get 2x-5y. This is the answer.

:)

Somebody please help me !!

Answers

1. (-1, 1

2. (-2,-2)

3. (-3, 1)

hope this helps!!

I really need help for this I need explanations of this please I need to submit right now please help

Answers

No because a rigid motion does not change the area (shape or/and size). It would be a non-rigid motion because is B was to be on planted on A it would overlap A.

(0.2a - 0.5b) ( 0.2a + 0.3b) multiply the following
plz sent with the equation right now plz plz​

Answers

Answer:

The answer is 0.04a² - 0.04ab - 0.15b²

Step-by-step explanation:

(0.2a - 0.5b) ( 0.2a + 0.3b)

0.04a² + 0.06ab - 0.1ba - 0.15b²

0.04a² + 0.06ab - 0.1ab - 0.15b²

0.04a² - 0.04ab - 0.15b²

Thus, The answer is

0.04a² - 0.04ab - 0.15b²

-TheUnknownScientist 72

The following graph shows Taylor's journey home. The y-axis is the distance Taylor is from home. The x-axis shows the time of his journey. According to the graph, what is the farthest distance Taylor was from his home?

options:

10 meters


18 meters


18 minutes


8 meters

Answers

Answer:

10 meters

Step-by-step explanation:

it is the highest point of the graph

Is the following equation true sometimes, always, or never?
(x-y)^2-2xy+y^2

Answers

Answer:

True

Step-by-step explanation:

Two angles are supplementary. One of them is 18 more than 6 times the other. How large is the larger angle?

Answers

Answer:

im think its  24

Step-by-step explanation:

18+6

Answer: The larger angle is about 156.84 degrees.

Explanation:
x = smaller angle
6x + 18 = larger angle

Supplementary angles add up to 180 degrees.

x + 6x + 18 = 180
7x + 18 = 180
7x = 162
x = 23.1429
x = 23.14 degrees

X can be substituted into the other expression to find the larger angle.

6(23.14) + 18
138.84 + 18
156.84 degrees

To check, add the two angles to make sure the sum is 180 degrees.

23.14 + 156.84 = 180
179.98 = 180
^^^ the numbers don’t exactly match because of the rounding I did. the solutions are correct

Pls someone help me

Answers

Answer:

Step-by-step explanation:

The answer is 10

Answer:

Your answer is [tex]\sqrt{52}[/tex] or 7.21110255093...

Step-by-step explanation:

[tex]A^{2} + B^{2} = C^{2}[/tex]

[tex]4^{2} + 6^{2} = C^{2}[/tex]

16 + 36 = [tex]C^{2}[/tex]

[tex]C^{2}[/tex] = 52

C = [tex]\sqrt{52}[/tex]

which of the tables represents a function?

Answers

the answer is table d !! good luck :)

What are the types of roots in a quadratic equation?

Answers

Answer:

There are three types of roots of a quadratic equation ax2+bx+c=0 a x 2 + b x + c = 0 : Real and distinct roots. Real and equal roots. Complex roots.

Step-by-step explanation:

Hope this helps!

Can u plz mark me as brainliest? plz :)

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