In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If DE = 4x + 4, and AC = x + 36, what is the measure of DE?
В.
D
E
A
С

In The Diagram Below Of Triangle ABC, D Is A Midpoint Of AB And E Is A Midpointof BC. If DE = 4x + 4,

Answers

Answer 1

Answer:

DE = 20 units

Step-by-step explanation:

GIVEN :-

D & E are the mid-points of AB & BC respectively.DE = 4x + 4AC = x + 36

TO FIND :-

Measure of DE

FACTS TO KNOW BEFORE SOLVING :-

The midsegment of a triangle is a line constructed by connecting the midpoints of any two sides of the triangle.The Triangle Midsegment Theorem tells us that a midsegment is one-half the length of the third side (the base), and it is also parallel to the base.

PROCEDURE :-

According to Triangle Midsegment Theorem ,

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

[tex]=> 4x + 4 = \frac{x + 36}{2}[/tex]

Multiplying 2 on both the sides ,

[tex]=> 2(4x + 4) = x + 36[/tex]

[tex]=> 8x + 8 = x + 36[/tex]

[tex]=> 8x - x = 36 - 8[/tex]

[tex]=> 7x = 28[/tex]

[tex]=> x = \frac{28}{7} = 4[/tex]

∴ DE = 4×4 + 4 = 20 units


Related Questions

Help please due in 25 minutes !!!

Answers

Answer:

Option B is correct from question point of view..

if y=10 when x=5 what does y equals when x=0.2

Answers

Answer:

.4

Step-by-step explanation:

y=2x

y=2(.2)

y=.4

there is your answer

It would be 0.4 I think

PLEASE HELP NO WRONG ANSWERS

Answers

Answer:

I believe it's C

Step-by-step explanation:

[tex]\\ \sf\longmapsto Area=30x^2-53x+12[/tex]

[tex]\\ \sf\longmapsto Area=30(3)^2-53(3)+12[/tex]

[tex]\\ \sf\longmapsto Area=30(9)-159+12[/tex]

[tex]\\ \sf\longmapsto Area=270-159+12[/tex]

[tex]\\ \sf\longmapsto Area=111+12[/tex]

[tex]\\ \sf\longmapsto Area=123[/tex]

And

[tex]\\ \sf\longmapsto Base=4x-6[/tex]

[tex]\\ \sf\longmapsto Base=4(3)-6[/tex]

[tex]\\ \sf\longmapsto Base=12-6=6[/tex]

Now

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}6h=123[/tex]

[tex]\\ \sf\longmapsto 3h=123[/tex]

[tex]\\ \sf\longmapsto h=\dfrac{123}{3}[/tex]

[tex]\\ \sf\longmapsto h=41[/tex]

CAN YOU ANSWE QUESTION 1 and 2 please??

Answers

Answer:

B. $700

Step-by-step explanation:

The answer is A because.....

Step 1: Find the 7% of 2000.

a.) 7% of 2000 is 140.

b.) Check- So: 140/2000= 0.07 (7%)

Step 2: Multiply 140x5 which equals $700.

Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.

I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)

Answer:

c

Step-by-step explanation:

There are five blue crayons, seven yellow crayons, and eight red crayons in a box. If one is randomly drawn and replaced 15 times, find the probability of drawing exactly four blue crayons.​

Answers

0.2252

(Please mark me brainliest! thank you in advance!!)

Jason launched a rocket for a physics experiment. This equation can be used to find
the height (h), in feet, of the rocket after t seconds.
h = -16t2 + 288t + 8
How many seconds will it take for the rocket to reach a height of 1,304 feet?

Answers

Answer:

5.063 seconds

Step-by-step explanation:

Use a graphing calculator to graph, then use the table functions to solve for 1304

or say

1304= rest of equations and solve for X

Asim mixed 5 gallons of paint.

Which of the following can be used to

find the number of pints of paint that

Is Asim mixed?

a.5 × 4 × 2

b. 5 × 4 , 2

c.5 × 2 × 2

d.5 , 2 × 2

is it a.b.c.d?

Answers

Answer:

5 × 4 × 2

Step-by-step explanation:

5 gallons

4 quarts per gallon

2 pints per quart

PLZZ help middle school math you just have to explain how to solve it. please don't put big words so I can understand and my teacher will think its me...lol​

Answers

Answer:

tell her you don't understand it and she'll help you ok good luck

Find the surface area and volume of the prism​

Answers

Answer:

I only know the first one.

The surface area of the prism is 900 cm2

Step-by-step explanation:

To solve the surface area, we need to find the area of the SURFACE not the inside of the cube. Lets do the rectangles first.

28 x 13 = 364

28 x 5 = 140

28 x 12 = 336

   1 1

   336

+  140

   364

-------------

  8 4 0

Now lets do the triangles.

Remember! To find the area of a triangle, you have to do Base x Height x 1/2 because it's half a rectangle.

(The triangles have the same area)

12 x 5 x 1/2 = 30

12 x 5 x 1/2 = 30

  30

+ 30

--------

 60

The last step is to add the areas of the triangles and the rectangles.

   1

   840

+    60

------------

   900 cm2

The answer is 900cm2

This Is not copy pasted, I actually put in all this effort.

Hope this helps :) And have a wonderful day! :D

2. Three pairs of jeans and six shirts cost $104.25. The cost of 4 pairs of jeans and 5 shirts
is $112.15. Find the cost of each pair of jeans and each shirt.

Answers

Answer:jeans = x = 16.85

shirts = y = 8.95

Step-by-step explanation:

That’s the answer bud

Angle AOC has the measure of 87°, determine the measure of the angle in radians.

Answers

Answer:

1.518 radians is the answer.

Step-by-step explanation:

Degree to radian conversion = 1° × [tex]\frac{\pi }{180}[/tex]

87° × [tex]\frac{\pi }{180}[/tex]

1.518 radians

1+1=???????????????????​

Answers

Answer:

I.d.k I think 1 :)

Step-by-step explanation:

have a great day

Assessment timer and count
Assessment items
Item 1

A scientist studied the replication of bacteria in a lab environment. This table gives the bacteria count for the first 12 hours. The table can be modeled using an exponential function.

Hours 2 4 6 8 10 12
Bacteria count 1,240 5,100 20,990 86,520 365,520 1,469,170

What function best represents the data?

y=300+4x
y=1240⋅2.03x
y=4x
y=300⋅2.03x

Answers

Answer: y=300⋅2.03x

Step-by-step explanation:

Answer:

D.) y = 300 ⋅ 2.03x

Step-by-step explanation:

By using the plug-in method, you use "Hours" as the X in this question.

If you plug in 2, 4, 6, 8, 10, and 12 to y = 300 ⋅ 2.03x, you will get the closest answers to "Bateria Count"

1,236.27 = 300 ⋅ 2.03^2
5,094.54= 300 ⋅ 2.03^4
2,0994.11 = 300 ⋅ 2.03^6
86,514.63 = 300 ⋅ 2.03^8
and so on- all are the closest to the chart.

Hope this helped! :)

Simplify 3^2 ⋅ 3^5
^ = are exponents
A 3^7

b
3^10

c
9^7

d
9^10

Answers

Answer:

B

Step-by-step explanation:

when simplifying base stays the same we only deal with exponent I think I need help too

Which algebraic expression is a polynomial with a degree of 5?

3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Answers

First one ..............

3/5 x ?/? = 3/5 plz im on a test!

Answers

Answer:

Dont say its a test youll get reported and banned by brainly

Step-by-step explanation: also the answer is:  3/5 x 3/5 = 925 = 0.36

Answer: 1/1

Step-by-step explanation:

1/1 because it = 1 so that means 3/5 x 1/1 is 3/5

What number should
be added to both sides of the equation to complete the square?
x2 + 8x = 4
4
8
16
O 32

Answers

I believe it is 4 to make it able to divide by both sides

A physical examination was used to screen for breast cancer in 7600 women with biopsy proven adenocarcinoma of the breast and in 11,000 age and race matched control women. The results of the physical examination were positive (i.e. a mass was palpated) in 5,500 cases and 1,700 control women (who showed no evidence of cancer at biopsy). The total population is 18,600. The sensitivity of the physical examination was:______.

Answers

Answer:

72.37%

Step-by-step explanation:

Calculation for what The sensitivity of the physical examination was

Using this formula

Sensitivity=Positive physical examination cases/Physical examination screening for breast cancer

Let plug in the formula

Sensitivity=5,500 cases / 7600 women

Sensitivity=0.7237*100

Sensitivity=72.37%

Therefore The sensitivity of the physical examination was 72.37%

Answer:

72.37% is the answer for this

which expression is equivalent to 8(5x-3)

13x-11
13x-24
40x11
40x-24

Answers

Answer:

The last answer option.

Write an equation from a real life situation


1. A membership at a yoga studio costs $35 per month, m. Write an equation to find the final cost, c?


2. After you wrote your equation, answer this question. Show your work.
" You attended the yoga studio for 20 months. What was the final cost?​

Answers

Answer:

1. C=35m?

2.C=700 or $700

Step-by-step explanation:

1. Total Cost= Rate x Number of Months

2. C=35m

Cost=rate x number of months

C=35(20)

C=700 or Total Cost=$700

Answer:

1. c = 35m

2. c = 35 · 20

20 · 35 = $700

Step-by-step explanation:

If the sales tax rate is 8.5%, how much would you pay for an item that costs $26.00?

Answers

Answer:

23.79

Step-by-step explanation:

Mitch has 2 cups of unpopped popcorn. He uses
1/4 cup to make 1 bowl of popcorn. How many bowls of
popcorn can he make?

Answers

8 bowls

2/(1/4)=8

Hope it helps

Determine the domain and range of each graph. Use inequalities to write your answer.​

Answers

Answer: Domain is [3,∞), The range is All real numbers.

Step-by-step explanation:

explain how you know plz


Answers

Answer:

this is a nonlinear function because the point do not have a steady rate of change for example y went up one and x went up 1 but from the next set of pairs y went up one and x went up three so this is a nonlinear function

Please verify the following trigonometric identities.

1. [tex]\frac{\tan x + \tan y}{\cot x + \cot y} = \tan x + \tan y[/tex]

2. [tex]\frac{\sin^3x + \cos^3x}{\sin x + \cos x} = 1 - \sin x \cos x[/tex]

3. [tex]\tan(\frac{x}{2}) + \cos x \tan(\frac{x}{2}) = \sin x[/tex]

Answers

Seems like there is a correction in the first question (RHS is tanx.tany)

(i) For convenience: let tanx = a ; tany = b

Thus, tanx + tany = a + b

Moreover, cotx = 1/tanx = 1/a ; coty = 1/b

Thus,

cotx + coty = 1/a + 1/b = (a + b)/ab

Hence,

=> (tanx + tany)/(cotx + coty)

=> (a + b) / { (a + b)/ab }

=> ab(a + b)/(a + b)

=> ab => tanx.tany , proved.

(ii) For convenience: let sinx = a ; cosx = b

As we know, sin²x + cos²x = 1 => a²+b²=1

=> (a³ + b³)/(a + b)

=> (a + b)(a² + b² - ab) / (a + b)

=> (a² + b² - ab)

=> 1 - ab => 1 - sinx.cosx , proved

(iii): let x/2 = A

=> tan(x/2) + cosx.tan(x/2)

=> tanA + cos2A.tanA

=> tanA [1 + cos2A]

=> tanA (2cos²A) {1+cos2A = 2cos²A}

=> (sinA/cosA) (2cos²A)

=> sinA (2cosA)

=> 2sinAcosA

=> sin2A

=> sin2(x/2)

=> sinx proved

Letting x/2 = A is not mandatory. I did it to decease words*(in a line).

Indentities used:

• sin²A + cos²A = 1

• (a³ + b³) = (a + b)(a² + b² - 1)

• 1 + cosA = 2 cos²(A/2)

• tanA = sinA/cosA.

• 2sinAcosA = sin2A

if sinθ = A, find cos(π/2-θ)

(using trigonometric identities to fine the value)

Answers

Answer:

Cos(π/2 - θ) = A

Step-by-step explanation:

We know that:

Sin(θ) = A

And we want to find the value of Cos(π/2 - θ)

Here we can use the cosine relationship:

Cos(a - b) = Cos(a)*Cos(b) + Sin(A)*Sin(B)

Then:

Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ)

We know that:

Cos(π/2) = 0

Sin(π/2) = 1

Then:

Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ) = 0*Cos(θ ) + 1*Sin(θ)

                    = 1*Sin(θ) = A

Cos(π/2 - θ) = A

Find the area of the figure. 8.5 cm 9.5 cm 24 cm The area of the figure is_______cm2

Answers

The answer is 432 cm^2.

Answer:

432 is the blank

Step-by-step explanation:

I just did this problem

I really need help Will give brainyest!!!

Answers

Answer:

C.

Step-by-step explanation:

The median is the middle line of the box. 30 is for Town A and 40 is for Town B. 30 is less than 40

If DB = 18cm and AC = 24cm, Use the properties of rhombus to find the length of one side of the rhombus please helppp!!!!

Answers

Answer:

15 cm

Step-by-step explanation:

You need to remember 2 theorems about a rhombus.

1.  The diagonals of a rhombus bisect each other

2.  The diagonals of a rhombus are perpendicular to each other

In other words, the diagonals of a rhombus are perpendicular bisectors.

BE = 9 and AE = 12

ΔAEB is a right triangle.  So, the Pythagorean theorem says

[tex]9^{2} + 12^{2} = AB^{2}[/tex]

[tex]AB^{2}[/tex] = 81 + 144

       = 225

AB = [tex]\sqrt{225} = 15[/tex] cm

знайдіть розв'язок системи лінійних рівнянь 10x-6y = 18 9x+6y=39

Answers

Answer:

(-21, -38)

Step-by-step explanation:

Given the simultaneous equation

10x-6y = 18 ... 1

9x+6y=39 ...2

Using the Elimination method

Subtract

10x - 9x = 18 - 39

x = -21

substitute x = -21 into 1;

From 1:

10x-6y = 18

10(-21)-6y = 18

-210 - 6y = 18

-6y = 18+210

-6y = 228

y = 228/-6

y =-38

Hence the solution to the system is (-21, -38)

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