Find DF
Segment addition

Find DFSegment Addition

Answers

Answer 1

Answer:

mDF = 18

Step-by-step explanation:

DE and EF must add up to DF.

Step 1: Set up equation

mDE + mEF = mDF

x + 7 + 7 = 4x + 2

Step 2: Solve for x

Combine like terms: x + 14 = 4x + 2Subtract x on both sides: 14 = 3x + 2Subtract 2 on both sides: 12 = 3xDivide both sides by 3: 4 = xRewrite: x = 4

Step 3: Find mDF

mDF = 4x + 2

mDF = 4(4) + 2

mDF = 16 + 2

mDF = 18


Related Questions

The manufacturer of a soccer ball claims that only 3% of the soccer balls produced are faulty. An employee of this company examines the long-run relative frequency of faulty soccer balls produced as shown in the graph.

A graph titled Faulty Soccer Balls has frequency on the x-axis, and probability on the y-axis. The graph levels out around y = 0.06.

Which conclusion can be drawn from this graph?

The company’s claim seems to be true because the graph shows that when 50 soccer balls were tested, only about 3% of them were faulty.
We should not believe the company’s claim that only 3% of their soccer balls are faulty because this graph shows a continuous increase in probability.
Because the graph shows that the probability of producing a faulty soccer ball is 0.03, we can believe the company’s claim that only 3% of the produced soccer balls are faulty
The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Step-by-step explanation:

write an equation to solve for x 8x+2 14x-76 will give brainiest​

Answers

Answer:

8x + 2 = 14x - 76

Step-by-step explanation:

just add both corresponding angles

Hector is visiting a cousin who lives 360 miles away. He has driven 70 miles. How many more miles does he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.

Answers

Answer:

260 miles.  

Step-by-step explanation:

350-90=260  

If you see the word difference in an equation, it means to subtract. :) hope that helps

When given a system of equations in slope-intercept form, is graphing or substitution the most efficient method to solve?

Answers

i’m not sure but just gues

need help not sure ​

Answers

7^6 is ur answer, 7^6

Answer:

6

Step-by-step explanation:

You add 3 and 5 to get 8 and then you will subtract 2 from 8 to get 6


Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15…

Answers

Answer:

10000000000000000000000,

the next number: 1-934028049747284

that's all

pls report

thanks!))))

Step-by-step explanation:

The answer would be 15x5=75

Write as a product:

25a^2−0.01b^10

Answers

Answer:

(5a + 0.1b^5)(5a + 0.1b^5)

Step-by-step explanation:

25a^2 − 0.01b^10 =

This follows the pattern: x^2 - y^2 = (x + y)(x - y)

= (5a + 0.1b^5)(5a + 0.1b^5)

Write an algebraic expression for the difference of 5 from b .

Answers

Answer:

b-5

Step-by-step explanation:

I need help with this problem (THIS IS NOT FROM A TEST)

Answers

Answer:

44.5 degrees.

Step-by-step explanation:

Since these triangles are congruent, their angles are the same.

Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):

2.5x+8=3.5x-7

8=x-7

x=15

We can plug 15 back into one of the equations:

2.5(15)+8 = 45.5

This means angle F is 45.5.

To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:

90 + 45.5 + x = 180

135.5 + x = 180

x = 44.5

Therefore, the angle E is 44.5 degrees.

Answer:

44.5

Step-by-step explanation:

These triangles are the same so we know that

2.5x + 8 = 3.5x - 7

Subtract 2.5 x from both sides

8 = x - 7

Add 7 to both sides

15 = x

Substitute x

37.5 +8

45.5

There is a right angle so we must add 45.5 + 90 to get 135.5

Subtract 135.5 from 180 to get

44.5

A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the same number of students from each grade level on each team. If all students participate, what is the largest possible number of teams and how many students will there be on each team?

Answers

Answer:

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Step-by-step explanation:

126 third-graders

180 fourth-graders

198 fifth-graders

Find the highest common factor of 126, 180, 198

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.

The highest common factor of 126, 180, 198 is 9

The largest possible number of teams that can be formed is 9

Each team has

third-graders = 126 / 9

= 14

Fourth-graders = 180 / 9

= 20

Fifth-graders = 198 divided by 9

= 22

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

The sum of 7 and Chau's height is 48.

Answers

Answer:

7+c=48

Step-by-step explanation:

what is the value of 2.5x+17+21x-25=180

Answers

Answer:

x=8

Step-by-step explanation:

2.5x+17+21x−25=180

Simplify 2.5x+17+21x−25

23.5x−8=180

Move all terms not containing x to the right side of the equation.

23.5x=188

Divide each term by 23.5 and simplify.

x=8

Hope this helps! :) Plz mark as brainliest

The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.solve the formula for h if b=3

Answers

Answer:

[tex] h = \dfrac{A - 9}{6} [/tex]

Step-by-step explanation:

A=b^2+2bh

b = 3

A = 3^2 + 2(3)h

A = 9 + 6h

6h = A - 9

[tex] h = \dfrac{A - 9}{6} [/tex]

The required expression for the slant height is h = [A - 9] / 6 .

Given that,
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A=b²+2bh
According to the condition,
put b = 3
A = 3² + 2 * 3 h
A = 9 + 6h
h = [A - 9] / 6

Thus, the required expression for the slant height is h = [A - 9] / 6 .

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Question 2
Keep the triangle that you created in Question 1. You will now copy the triangle to a different location on the grid using two of its angles and the included side:

In a different place on the grid, draw a new line segment of the same length as the line segment recorded in Question 1. (This will be easier if you draw the new line segment parallel or perpendicular to the corresponding line segment from Question 1.)
At each endpoint of the new line segment, create an angle of a given size. Size the angles using the angle measurements you recorded in Question 1.
Once you’ve created the angles, draw a ray through each endpoint at the specified angle measurement.
Place a point at the intersection of the two rays.
Finish copying the triangle by drawing a polygon through the three points you created.

Answers

Answer:

The triangles appear to be the same size and shape.

Step-by-step explanation:

The new triangle formed is congruent to the former one.

From question 1 the data has been revised. Which form a triangle.
Here same triangle to be determine.

What are Similar triangles?

Similar triangles, are those triangles which have similar properties, i.e. angles and proportionality of sides.

Here,
We have triangle from question 1 solution. While copying triangle we used to draw three sides over the measure of angles and size of the sides to get copy of triangle. The triangle obtained will be congruent to the former triangle.

Thus, the new triangle formed is congruent to the former one.  

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ASAP!! PLEASE I NEED HELP!!
A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed? Explain why.
Answer:
If the length is 50 yd, the width is
yd.
If the length is 40 yd, the width is
yd.
If the length is 48 yd, the width is
yd.
If the length is 36 yd, the width is
yd.
The length and the width vary .

Answers

Answer:

If the length is 50 yd, the width is  60 yd.

If the length is 40 yd, the width is  75 yd.

If the length is 48 yd, the width is  62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

L is its lengthW is its width

The relation is direct proportion if the quotient of two quantity equals constant  (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)  

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

The width of the plot is 60 yards

∵ Its length = 40 yards

L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

The width of the plot is 75 yards

∵ Its length = 48 yards

L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

The width of the plot is 62.5 yards

∵ Its length = 36 yards

L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

The width of the plot is  83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

   that from the values of L and W

∴  The length and the width of the rectangular plot vary inversely

The length and the width of the rectangular plot vary  inversely when the same area is needed.

Area of Rectangle:

Area of rectangular plot [tex]=length *width[/tex]

Given that, Area of plot is 3000 square yards.

If the length is 50 yards. Then,

             [tex]width=\frac{3000}{50} =60yd[/tex]

If the length is 40 yards. Then,

            [tex]width=\frac{3000}{40}=75yd[/tex]

If the length is 48 yards. Then,

            [tex]width=\frac{3000}{48}=62.5yd[/tex]

If the length is 36 yards. Then,

           [tex]width=\frac{3000}{36}=83.34yd[/tex]

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Order these in descending order (greatest to least). 3/20, 0.15%, 0.015

Answers

Answer:

3/20, 0.015, 0.15%

Step-by-step explanation:

A washer and a dryer cost $796 combined. The washer cost $54 less than the dryer. What is the cost of the dryer?

Answers

Answer:

The cost of the dryer would be 425$

Step-by-step explanation:

796 - 54 = 742

742 ÷ 2 = 371

371 = washer cost

371 + 54 = 425

425 = dryer price

Answer:  The dryer costs $425

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

Explanation:

w = cost of washer

d = cost of dryer

costs are in dollars

w+d = 796 since the two costs combine to get a total cost of $796

w = d-54 because the washer is $54 cheaper

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

Let's start with the first equation and plug in the second equation

w+d = 796

(w) + d = 796

(d-54)+d = 796 ... replace w with d-54

d-54+d = 796

2d-54 = 796

2d = 796+54 ... adding 54 to both sides

2d = 850

d = 850/2 ... dividing both sides by 2

d = 425

The dryer costs $425

We can stop here.

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

If you want to find the cost of the washer, then,

w = d-54

w = 425-54 .... plug in d = 425

w = 371

The washer costs $371

Note that

w+d = 371+425 = 796

which matches with the total cost we were given. This confirms our answer.

The price of a stock steadily decreased by a total of $123 over the past 14 months.

Answers

What happened when the stock decreased by $123?

3. The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of 3.5 picomoles per liter. Find the probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter.

Answers

Answer:  0.8956

Step-by-step explanation:

Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.

Let X be the daily surface concentration of carbonyl sulfide.

The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =  0.8956

what is 4.8367 rounded to the nearest hundredth

Answers

Answer:

4.84

Step-by-step explanation:

4.84 is the nearest hundredth number of 4.8367.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

4.8367 is a decimal number.

Four point eight three six seven is the given decimal number.

We have to round the decimal number to the nearest hundredth.

In the given decimal number the value at hundredth position is 3.

We need to follow the rules when rounding a decimal number.

if the last digit is less than 5, round the previous digit down.

if it's 5 or more than you should round the previous digit up.

In the given decimal number on right of 3 it is 6 which is more than 5. So we need to round the increase the value of 3 by 1 which makes it 4.

Hence 4.84 is the nearest hundredth number of 4.8367.

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Solve the system of equations. show your work/explain how you found your answer.
2x-4y=10
x+5=40

Answers

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Work on the second equation first.

x + 5 = 40

Get all variables on one side:

x = 35

You now have the answer for the variable of x, use this on the first equation:

2x-4y=10

2(35)-4y=10

Subtract 70 from both sides:

70-4y=10

Divide both sides by neagtive 4:

-4y=-60

y=15

What is fo)?
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1, 2 and 12

Answers

9514 1404 393

Answer:

  f(0) = 12 . . . only

Step-by-step explanation:

We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.

The graph of f(x) crosses the y-axis at y=12, so ...

  f(0) = 12

Answer: 4,12

Step-by-step explanation: Gimme points  I counted the lines where the f(x) is located at then found 4 same for y ( I started with X then Y)

Translate the sentence into an equation.
Twice the difference of a number and 2 equals 6.
Use the variable b for the unknown number.

Answers

Answer:

2(b-2)=6

Step-by-step explanation:

Twice the difference means multiply the difference by two

It explains the difference being between the unknown number(b) and 2

The answer is said to be six

So you put the difference (b-2)

Multiply it 2(b-2)

and finally, add the answer: 2(b-2)=6

The equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

Given that, twice the difference of a number and 2 equals 6.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Use the variable b for the unknown number.

2(b-2)=6

⇒ b-2=3

⇒ b=5

Therefore, the equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

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Please help me with this question? ​

Answers

Answer:

Step-by-step explanation:

The answer is A

If it's not then i'm sorry

Answer:

None of the above

Step-by-step explanation:

A. b ≠ 0

B. Solve for b:

-7/(2 b) = (2 b)/7

Cross multiply:

-49 = 4 b^2

-49 = 4 b^2 is equivalent to 4 b^2 = -49:

4 b^2 = -49

Divide both sides by 4:

b^2 = -49/4

Take the square root of both sides:

Answer: b = (7 i)/2 or b = -(7 i)/2

1.Solve: 12 2
Its urgent need these answered, please

Answers

Answer:

K must be greater than 5

G must be less than  4

Step-by-step explanation:

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.

The vertex is (1, -9).

The graph opens upward.

The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.

The graph is steeper than the graph of f(x) = x2.

The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Answers

Answer:

the graph opens upward

the graph is steeper then the graph of f(x) = x2

and the graph is the same as the graph of f(x)=6x2 + 12x -3

Step-by-step explanation:

The statements graph opens upwards, graph is steeper than the graph of f(x) = x² and  graph is the same as the graph of f(x) = 6x² + 12x - 3 are true about the graph  f(x) = 6(x + 1)2 -9.

What is a function?

A function can be thought of as an output for the given set of inputs.

Given f(x) = 6(x + 1)² - 9.

f(x) = 6( x² + 2x + 1) - 9.

f(x) = 6x² + 12x + 6 - 9.

f(x) = 6x² + 12x - 3.

The graph opens upward as the coefficient of x² is positive.

The graph is steeper than x² as it has a multiplication factor of 6.

The graph is the same like f(x) =  6x² + 12x - 3 as we have already found out by simplifying.

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PLEASE HELP!!!!!

WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZWX has a measure of 60 degrees. Find the measure of angle ZYW.

Answers

Answer:

ZYW = 17.

Step-by-step explanation:

ZYW = XYW = 180 - 133 + 30(sum of angles in a triangle) = 17.

The measure of angle ZYW is 17.

Given that,

The Angle WXY has a measure of 133 degrees.And, the angle ZWX has a measure of 60 degrees.

Based on the above information, the calculation is as follows:

= 180 - 133 - 30

= 17

Also ZYW = XYW

Therefore we can conclude that the measure of angle ZYW is 17.

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If you walk 100 m forward And 35 m backwards towards your starting point would what is the distance and displacement explain your answer

Answers

Answer:

imater?

Step-by-step explanation:

If g is the midpoint of AB, classify each triangle by its angles and sides

Answers

Each triangle can be classified by its angles and sides in the following ways :

triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .

Mai's new bedroom has a walk-in closet with a floor that measures 20 square
feet. Her closet ceiling is 9 feet from the floor.
What is the volume of her closet?

Answers

Answer:

The volume of he bedroom is about 180 feet :)

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