segment DE is a midsegment of triangle ABC. find the value of x

Segment DE Is A Midsegment Of Triangle ABC. Find The Value Of X

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

Answer 2

The value x is 10 units.

What is midsegment?

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.

Given that, segment DE is a midsegment of triangle ABC.

According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore, DE = 1/2 AB

5 = 1/2x

x = 5×2

x = 10

Hence, the value of x is 10 units.

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Related Questions

Which product is negative?

−2⋅(−4)⋅8⋅(−1)

−7⋅(−3)⋅(−5)⋅(−8)

−3⋅(−4)⋅(−9)⋅0

6⋅(−2)⋅(−3)⋅1

Answers

[tex]-2(-4)\cdot 8 (-1)\\\\=8 \cdot (-8)\\\\=-64\\\\\text{This one is negative.}[/tex]

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

81 x² - 4 y²

Answer C is correct.

Step-by-step explanation:

First, you have to find the area of the larger square.

Area of the larger square = (9x) × (9x)

                                          = 81 x²

Then you have to find the area of the un shaded square,

Area of the unshaded square = (2y) × (2y)

                                                  = 4 y²

Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.

Area of the shaded region = Area of the larger square - Area of the unshaded square

                                            = 81 x² - 4 y²

Hope this helps you.

Let me know if you have any other questions :-)

I am stuck on a geometry lesson. It is on the Angle Sum Theorem. It said we have an obtuse trisngle with angles 1, 2, and 3. Then they extend the line out as a dashed line top and bottom parallel to each other. It then he says we have angle 1 value would also be true on the opposite side of the triangle like as a transeversal intersected 2 parallel lines making those angles alternate interior angles. He does the sme with 2. then says 1 plus 2 plus 3 equal 180 and says it twice. What does that mean?​

Answers

The angle sum theorem states that the sum of all the interior angles of a triangle is 180 degrees. In a Euclidean space, the sum of the measure of the interior angles of a triangle sum up to 180 degrees, be it an acute, obtuse, or a right triangle which is the direct result of the angle sum theorem of the triangle

The perimeter of the table shown is 16 feet. Write an equation in the form px+q=r to solve for x.

Answers

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

Since the perimeter is 16 feet, we have

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

Solve each question with the quadratic formula
6a² + 10 = 0


I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)

Answers

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

a=6b=0c=10

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

What is i?

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

What are the names of these polygons?
a)
b)
c)
d)

can anyone help pls?

Answers

is there a photo you can attach? because i see no polygons to label

+
What is the quotient when (16x4 + 40x3 - 24x2) is divided by 8x??
OA.
2x + 5x-3
OB. 2x + 3x-5
OC. 2x - 5x+5
D. 2x3 + 5X-3
+
Relat
Next

Answers

Answer: [tex]2x^{2} + 5x -3[/tex]

Step-by-step explanation:

Find the quotient of  [tex]\frac{16x^4+40x^3-24x^2}{8x^2}[/tex]

Step 1: Break down the polynomial equation

[tex]\frac{16x^4}{8x^2}[/tex] + [tex]\frac{40x^3}{8x^2}[/tex] - [tex]\frac{24x^2}{8x^2}[/tex]

Step 2: Divide each piece by dividing the coeffients and subtracting the variables.

16 ÷ 8 = 2

[tex]x^{4}[/tex] - [tex]x^{2}[/tex] = [tex]x^{2}[/tex] → 2[tex]x^{2}[/tex]

40 ÷ 8 = 5

[tex]x^{3}[/tex] - [tex]x^{2}[/tex] = [tex]x[/tex] → 5[tex]x[/tex]

- 24 ÷ 8 = - 3

[tex]x^{2}[/tex] - [tex]x^{2}[/tex] = 1 → - 3

Step 3: Put the polynomial together

2[tex]x^{2}[/tex] + 5[tex]x[/tex] - 3

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

B 81x^2 + 4y^2 that's the answer I have

Answer:

C. 81x² - 4y²

Step-by-step explanation:

The shaded region is the difference of the area of square with side 9x and the area of square with side 2y:

A = (9x)² - (2y)² = 81x² - 4y²

Correct choice is C

What is the answer to the question below, I have been working on it for a while. Plz help!
The quotient of 10 times m and 7

Answers

Answer:

10m / 7

Step-by-step explanation:

times = multiplication of 10 and variable m

quotient of = division of 7

Solve -3(x-2)=2(x-7) and write a reason for each step

Answers

Answer:

4=x

Step-by-step explanation:

-3(x-2)=2(x-7)

Distribute -3 and 2.

-3x+6=2x-14

Add 3x to both sides of the equation.

6=5x-14

Add 14 to both sides of the equation.

20=5x

Divide 5 from both sides of the equation.

4=x

Hope this helps :)

Answer:

x=5

Step-by-step explanation:

Our equation is

-3(x-2)=2(x-7)

First we will distribute -3 and 2, because in math when we have a number being multiplied into parenthesis we multiply both things inside of it

Our equation is now

-3x+6=2x-14

Next we subtract 6 from both sides because we want x to be on only one side

-3x=2x-20

Next we subtract 2x from both sides because we want x to equal something exactly

-5x=-20

Now we divide -5 from both sides because we only want x

x=5

Brainliest please :)

The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?

Answers

Answer:

7 and 1 / 2

Step-by-step explanation:

xy = 9

( 1 / x ) = 4 ( 1 / y )

y = 4x

x ( 4x ) = 9

4x^2 = 9

x = 3 / 2

( 3 / 2 ) y = 9

y = 6

6 + ( 3 / 2 ) = 7 and 1 / 2

The two numbers are 3/2 and 6.

What are reciprocal numbers?

The reciprocal of a number is this fraction flipped upside down.

Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.

Let the numbers be a and b.

ab = 9.......(i)

1/a = 4/b

a = 4b..........(ii)

Using (i) in (ii)

4b×b = 9

b² = 9/4

b = 3/2

a×3/2 = 9

a = 6

Hence, The two numbers are 3/2 and 6.

For more references on reciprocal numbers, click;

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A wooden beam is (3y2 + 7y+1) meters long. If a piece of length (y2 - 10) meters is cut off, express the length of the
remaining piece of beam as a polynomial in y.

Answers

Answer:

  2y^2 +7y +11

Step-by-step explanation:

The remaining length is the difference between the original and the length cut off:

  remaining = whole length - piece length

  remaining = (3y^2 +7y +1) -(y^2 -10)

  = 3y^2 +7y +1 -y^2 +10  = (3 -1)y^2 +7y +(1 +10)

  remaining = 2y^2 +7y +11

Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 3 years after she moved into the house, the tree was 274 centimeters tall
How fast did the tree grow?

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

Answers

1.

The equation for this problem would be

y = (?)x + 190

With y being the height after a given amount of years and x being the amount of years passing. We would need to find ?, the rate of how fast the tree grows. The problem gives us y = 274 centimeters and x = 3 years

Let’s plug in and solve for ?

274 = ?(3) + 190

84 = ?3

28 = ?

The tree grew 28 cm per year

2.

Since we know the rate of change and y, let’s just plug in values

344 = 28x + 190

154 = 28x

5.5 = x

5.5 years since Renata moved.

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!

FOR A BRAINLST PLS BE ACCURATE

Answers

Answer:

the answer is the third

hope it help

Which equation has the solution x = 5?
Select each correct answer.


18−2x=9

x/5+5=6

32−4x=12

11 + 6x = 22

3x + 1 = 9

25/x+4=9

Answers

25/x+4=9 I believe is the answer

Finding slopes. Please do as many questions as you can.

Answers

Answer:

Step-by-step explanation:

slope are hard tbh

Here are the slope answers to all of your questions!! :)

7. Slope is 1/2.

8. Slope is 2.

9. Slope is 1/2.

10. Slope is 26.

11. Slope is -5/6.

12. Slope is 16/13.

Hope this helps!! :)

2x=x-4
solve for x
step by step please

Answers

2x = x - 4

2x - x = - 4

x = - 4

________

Hope it helps ⚜

Answer:

x=-4

Step-by-step explanation:

2x=x-4

2x-x=-4

x=-4

Proof

2*(-4)=-4-4

-8=-8

PLSSSS WILL MARK BRAINLIEST IF CORRECT

Cody’s favorite snacks are pecans and almonds. At the Nut Haus, pecans sell for $2.00 a pound and almonds sell for $4.50 a pound. Cody wants to buy a mixture of nuts that weighs 6 pounds. He has $15.25 to spend on pecans and almonds.


Part A

Identify the two variables in the problem situation.


Part B

Write a system of two linear equations in two variables that could be used to determine the number of pounds of pecans and almonds Cody could purchase at the Nut Haus.

Answers

Answer:

Part A

The two variables are the amount of pounds that we dont know yet for the nuts and the almonds so we would have to put x for the amount of pounds for pecans and y for the amount of pound for nuts

Part B

2x + 4.50y = 15.25

Step-by-step explanation:

Step-by-step explanation:

x = pounds of pecans bought

y = pounds of almonds bought

x + y = 6

x×2 + y×4.5 = 15.25

x = -y + 6

(-y+6)×2 + y×4.5 = 15.25

-2y + 12 + 4.5y = 15.25

2.5y = 3.25

y = 3.25 / 2.5 = 3 1/4 / 2 1/2 = 13/4 / 5/2 = 13×2 / 4×5 =

= 26/20 = 13/10 = 1.3 pounds

x = -y + 6 = -1.3 + 6 = 4.7 pounds

Cody could buy 4.7 pounds of pecans and 1.3 pounds of almonds.

which number sentence can be used to find 42 divied by 7

Answers

Answer: isn't it 42÷7=6?

Answer:

42 / 7 = 6

Step-by-step explanation:

Just use a multiplication table.

How does the equation change when the radius changes? Unlike h and k, why is r always positive?

Answers

Answer:

When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

24c-14

Step-by-step explanation:

to find the perimeter, simply add up the values of the three sides:

(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14

Which is the graph of the equation y+2=−12(x−4)?

Answers

Answer:

Step-by-step explanation:

y+2 = -12(x-4)

y=-12x+48-2

y = -12x+46

Draw a graph with the points (1,34) and (3,10)

Haley invested $750 into a mutual fund that paid 3.5% interest
each year compounded annually. Find the value of the mutual
fund in 15 years.

Answers

The future value of the mutual  fund after 15 years is equal to $1,256.55.

Given the following data:

Principal = $5,000Interest = 3.5% = 0.035Time = 15 years

To find the future value of the mutual  fund after 15 years:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.P is the principal or starting amount.r is annual interest rate.n is the number of times the interest is compounded in a year.t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have;

[tex]A = 750(1 + 0.035)^{15}\\\\A = 750(1.035)^{15}\\\\A = 750(1.6754)[/tex]

Future value, A = $1,256.55

Read more: https://brainly.com/question/22339845

please help me I really need help

Answers

1) 300 squared cm

2) 105 squared cm

3) about 165.75 squared cm

4) about 211.4 squared cm

BRAINLIEST
Please solve at least one of these problems. I would love it if you could do all of them but I know you probably won’t have time for it. Ty!

Answers

Answer:

Step-by-step explanation:

Only right answers! Please hurry.

A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:

Answers

Answer:

Part A.) 67.65%

Part B.) 134/205

Part C.) The strongest of the relative frequencies is the people who like hamburgers. The total is significantly higher then all of the totals of people who don’t like hamburgers or burritos.

Explanation:

The data showing this gives you all the answers you need make sure and double check the work

Answer:

Part A: about 8%

Part B: about 65%

Step-by-step explanation:

The average third grader student can read 60 words in five minutes what is the average reading rate per minute

Answers

Answer:

12 words a minute

Step-by-step explanation:

To find the answer all you need to do is divide 60/5

Answer:

12

Step-by-step explanation:

60 divided by 5

solve pls brainliest

Answers

Answer:

Step-by-step explanation:

|x|=x,if x>0

|x|=-x,if x<0

(a)

|7-9|=|-2|=-(-2)=2

(b)

|7|-9=7-9=-2

Help me out I need it

Answers

Answer:

27 Chairs (See below)

Step-by-step explanation:

A: You will put 9 chairs in each row, and have 3 rows.

For a visual example I will use the symbol "O" for the number of chairs.

OOOOOOOOO

OOOOOOOOO

OOOOOOOOO

B: The multiplication problem, using the information 3 Rows, and 9 Chairs in each row, is 9x3

C: The factors are the numbers you are multiplying with, and the product, is your outcome when you multiply the two factors, 9, and 3.

So your answer is 27.

Hope this helps!

Find the quotient. 4/12÷4/12=​

Answers

Answer:

1

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

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