Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases.



Slopes are equal; therefore, segments are parallel

Click An Item In The List Or Group Of Pictures At The Bottom Of The Problem And, Holding The Button Down,

Answers

Answer 1

The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

How to prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases?

From the figure, we have the following coordinates

B = (a, 0)

D = (d, c)

The midpoint of line segment BD is calculated as

BD = 1/2 * (x1 + x2, y1 + y2)

So, we have

BD = 1/2 * (a + d, 0 + c)

This gives

BD = ((a + d)/2, c/2)

Also, we have:

Lines MN and AB are horizontal lines

This means that they have a slope of 0

i.e.

Slope of AB = Slope of MN = 0

Parallel lines have equal slope

Hence, the segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

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Related Questions

Write an equation for each line (L,P,N,M)

Answers

do you have it on edg???

Lisa spends part of her year as a member of the gym. She then finds a better deal at another gym, so she cancels her membership with the first gym and spends the rest of the year with the second gym. (12 months total at these gyms.) The membership to the first gym costs $75 per month, while the membership for the second gym cost $50 per month. She ends up spending a total of $775 over the course of the year. ​

Answers

Answer:

Number of month in first gym = 7

Number of month in second gym = 5

Step-by-step explanation:

Given:

First gym member ship cost = $75 per month

Second gym member ship cost = $50 per month

Total spending = $775

Computation:

Number of month in first gym = a

Number of month in second gym = b

So

a + b = 12....eq1

75a + 50b = 775 ....eq2

From eq 1 and 2

a = 7 month

b = 5 month

Number of month in first gym = 7

Number of month in second gym = 5

HELP ME ASAP ILL GIVE BRAINLIST

Answers

Answer:

A'B'=2AB

Step-by-step explanation:

Line A'B' is also dilated by the same scale factor of 2 and is therefore equal to 2*AB or 2AB

Ms. Psenicska is driving her car at 60 miles per hour. She then increases her speed by 25%. Which of the following expressions can be used to find her
new speed? Select all that apply
60 (0.75)
60 (0.25)
60 - 60 (0.25)
60+ 60 (0.25)
Cam you help me please

Answers

Answer:

60 (0.25)

Step-by-step explanation:

find the GCF of 24 and 63​

Answers

Answer:

3

Step-by-step explanation:

:) mark me as brainlist?

Answer:

3

Step-by-step explanation:

The GCF is the largest common positive integer that divides all the numbers (24,63) without a remainder

how many solutions does this problem have: 2(75 + 8) = 5(85 + 9)​

Answers

0 solutions.

2(75+8) =5(85+9)

166≠470

What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1

Answers

Answer:

point form: (2,-1)

equation form: x=2,y=-1

Step-by-step explanation:

Answer:

X = 2 and y = -1

Step-by-step explanation:

add 3y to both sides of 2x = -3y + 1

2x + 3y = 1

5x + 7y = 3

multiply (2x + 3y = 1) by -5 and (5x + 7y =3) by 2

-10x - 15y = -5

10x + 14y = 6

-y = 1

y = -1

plug in y

2x = -3(-1) + 1

2x = 4

divide by 2

x = 2

How do I solve this step for step? This is confusing..

0.125 < π < 9/50 (fraction)

Answers

The solution to the inequality expression given as 0.125 < π < 9/50 is false

What are inequality expressions?

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

How to determine the solution to the inequality expression?

The inequality expression is given as

0.125 < π < 9/50

Express 0.125 as a fraction

So, we have the following inequality expression

1/8 < π < 9/50

As a general rule, we have

π = 22/7

So, the inequality expression becomes

1/8 < 22/7 < 9/50

Evaluate the quotients

So, the inequality expression becomes

0.125 < 3.14 < 0.18

The number 3.14 is not between 0.125 and 0.18

This means that the inequality expression 0.125 < 3.14 < 0.18 is false

Hence, the solution to the inequality is false

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Please need help on this one

Answers

Answer:

60°

Step-by-step explanation:

wx=√(9²+(3√3)²)=√(81+27)=√108=√(36×3)=6√3

[tex]cos w=\frac{3\sqrt{3}}{6\sqrt{3}} =\frac{1}{2} =cos ~60\\m \angle ~w=60^\circ[/tex]

15, sqrt(200), 14
Order from least to greatest

Answers

Answer:

14, sqrt(200), 15

Step-by-step explanation:

14 is the least sqrt(200) equals 14.14 then 15

Use substitution to solve the system x=2y-5 and -2x+5y=11

Answers

Answer:

(-3, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x = 2y - 5

-2x + 5y = 11

Step 2: Solve for y

Substitution

Substitute in x:                    -2(2y - 5) + 5y = 11Distribute -2:                       -4y + 10 + 5y = 11Combine like terms:           y + 10 = 11Isolate y:                              y = 1

Step 3: Solve for x

Define original equation:                    x = 2y - 5Substitute in y:                                     x = 2(1) - 5Multiply:                                                x = 2 - 5Subtract:                                               x = -3

b + 11 = -12 can u help?

Answers

Answer:

b = -23

Step-by-step explanation:

b + 11 = -12

Subtract 11 from both sides

b = -23

Answer:

b=-23

Step-by-step explanation:

b+11=-12

b=-12-11

b=-23

Kevin went car shopping. The scatterplot at the right shows the relationship between the number of miles each of the cars had and their price. Based on the scatterplot, how much would a car with 75,000 miles cost?

Answers

How much money to a mile

Slope=1/4; y -intercept = 2

Answers

Answer:

y=1/4x+2

Step-by-step explanation:

im not sure what your problem is here, so im just gonna assume you have to put it into slope intercept form

Y=1/4x+2
I’m not sure what you mean here but I’m gonna assume you want it in this format

Which angle is congruent to ∠DFE?

An illustration shows two right angled triangle A B C and D E F; triangle A B C is larger than triangle D E F.

A.
∠ABC

B.
∠FDE

C.
∠FED

D.
∠ACB

Answers

The option D is correct. i.e., ∠ACB

In the given question is that

Which angle is congruent to ∠DFE

Answer is   ∠DFE ~  ∠ACB

Explanation: By using the illustration  shows two right angled triangle ABC and triangle DEF :

Now, If in triangles ABC and triangle DEF

Angle C = Angle F (Right angle)

CB = FE (leg)

AB = DE (hypotenuse)

then, triangle ABC is congruent to triangle DEF.

By SAS rule

Whole triangle ABC is congruent to triangle DEF. Then, we can say that

∠DFE ~  ∠ACB  

Hence, The option D is correct. i.e., ∠ACB

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Im so confused and its so imbecilic as to why
1/6 divided by 1.
HOW DOES SOMEONE FLIP A 1????

Answers

Answer:

Simplify the following:

1/6×1/1

1/6×1/1 = 1/6:

Answer: 1/6

Step-by-step explanation:

No need to be confused about anything. One multiplied, raised, divided, and squared always gives the same result.

i need help ASAPwhat is 11x + 9 - 7

Answers

-0.1818181818 I think

A number is 2/3 of another number. If the sum of the two numbers is 30, find the smaller number. (Let the other number = x .) the answer choices are
1) 12
2) -9
3) -11
4) 10

Answers

Answer:12

Step-by-step explanation:

Identify the underlined place in 131.572. Then round the number to that place

The 5 is underlined


Can someone please help??

Answers

Answer:

The 5 is in the tenths place.

Step-by-step explanation:

:)

Answer:

131.6

Step-by-step explanation:

Since the 5 in 131.572 is underlined, we need to round the number to the nearest tenth. When rounding numbers, we need to look at the digit next to the rounded digit. The digit after 5 is 7.

If the digit after that is 1-4, we round down the 5. If the digit after that is 5-9, we round up the 5. Since 7 is between 5 and 9, we round the digit 5 to 6.

Thus, the rounded number would be: 131.6

How is multiplying and dividing rational numbers similar to multiplying and dividing integers?

Answers

Most rational numbers and integers are the same

if vectors A&B are non zero vectors ,is it possible for their dot product and cross product to be zero? explain.​

Answers

Answer:

It can be proved that it’s impossible.

The dot product is defined as:

a⋅b=∥a∥∥b∥cos(θ)  

where  θ  is the angle between  a  and  b .

The cross product is defined as:

a×b=∥a∥∥b∥sin(θ)n^  

and the magnitude of this is given by:

∥a×b∥=∥a∥∥b∥sin(θ)  

We also know that:

cos2(θ)+sin2(θ)=1  

We can substitute the dot product and the magnitude of the cross product in here, to find:

(a⋅b)2+∥a×b∥2=∥a∥2∥b∥2  

We’ve specified that  a  and  b  are non-zero vectors, so the right hand side cannot be zero. As a result, at least one of  (a⋅b)2  or  ∥a×b∥2  must be non-zero.

Step-by-step explanation:

Best and Correct answer gets BRAINLIEST!!!!!

Answers

A is the answer!! Hope it helps

What is the distance between point A(3, 3) and point B (-3,-3)? necessary, round to the nearest 10th

Answers

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

formula

AB=[tex]\sqrt{(x_{a}-x_{b})+(y_{a}-y_{b})}[/tex]

Five positive whole numbers add up to 47
One of the numbers is a multiple of 9
The other four numbers are equal.
Work out the result when the five numbers are multiplied.

Answers

Greetings from Brasil...

According to the statement

A + B + C + D + E = 47

making B the multiple of 9

A + 9B + C + D + E = 47

as the other 4 numbers are the same, let's call it A

A + 9B + A + A + A = 47

4A + 9B = 47    assigning values to B, we have

B = 1 ⇒ A ∉ ℤ

B = 2 ⇒ A ∉ ℤ

B = 3 ⇒ A = 5

B = 4 ⇒ A ∉ ℤ

B = 5 ⇒ A ∉ ℤ

B = 6 → from now on, A will be negative

Then

A = 5 and B = 3

Multiplying all numbers:

A·9B·A·A·A = 9A⁴B = 9·5⁴·3 = 16875

the quotient of two numbers is 4 and their difference is 39. What is the smaller number of the two?

Answers

Answer:

13

Step-by-step explanation:

x/y = 4

x=4y

x - y = 39

4y - y = 39

3y = 39

y= 13

can u guys help me please dont steal or guess ( will give brainiest for proof)

Answers

Answer:

30 feet

Step-by-step explanation:

To find the distance use a trigonometric ratio. Since we are looking for the hypotenuse and we are given the opposite side we will be using the ration of sine. We can set up the equation like this by using x as the measure we are looking for.

Sin of x=Opposite leg/Hypotnuse

Sin of 30= 15/x

Multiply by x and then divide by Sin of 30 to isolate the x.

x=15/Sin of 30

Plug it in to a calculator.

x=30

5. If f(x) = x3 + 6, what is the value of f(3)?
A. 15
B. 33
C. 39
D.729

Answers

Answer:

15....................................

A car journey has two stages.
Stage 1: The car travels 110 miles in two hours
Stage 2: The car travels 44 miles at the same average speed as stage 1
Work out the time for stage 2
Give your answer in minutes.

Answers

Answer:

48 minutes

Step-by-step explanation:

2h = 110 miles

1h = 110 ÷ 2

    = 55 miles

Therefore, the speed of the entire journey is 55 miles per hour.

1h = 60 minutes

55 miles = 1h

55 miles = 60 minutes

44 miles = [tex]\frac{44}{55}[/tex] × 60 minutes

              = 48 minutes

choose the answer based on the most efficient method as presented in the lesson. if the first step in the solution of the equation -8 - 7x= -5x -10 is "add 10" then what should the next step be?

Answers

Answer:

"Add 7x"

Step-by-step explanation:

-8 - 7x + 10 = -5x - 10 + 10

2 - 7x = -5x

Answer:add 7x

Step-by-step explanation:

Equation Step 1 - Add 10 both side,Step 2 - Add 7x both side,Step 3 - Divide both side by 2,Therefore, The next step should be ''add 7x''.THANKS 35.0(1 vote)AdvertisementAnswer5 people found it helpfultexaschic101Genius13.3K answers222.9M people helped-8 - 7x = -5x - 10....add 10 to both sides2 - 7x = -5x ......NEXT STEP.....add 7x to both sidesTHANKS 55.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSASK YOUR QUESTIONNew questions in MathematicsPlease Help me turn vertex form to standard form!! Line r contains points (-5,0) and (6, -2). Which of the following pairs of points define a line parallel to line r ?What is the absolute value of –8? Use the number line to help answer the question.Nathan eats the same amount of lunch meat everyday. If Nathan eats 2 pounds of lunch meat in 8 days, he eats pound(s) of lunch meat per dayIf f(x)=1/x,which equation describes the graphed function? A. y = f(x+2) - 1 B. y=f(x-2) - 1 C.y=f(x+1)-2 D.y=f(x-1)-2whait is the formula of mean deviation 30% of a sum of money is rupees 300. what is the total amount? step by step explanation please subject: linear equations in mathSolve the system of linear equations using the substitution method. Y = 6x + 11 and 2y - 4x = 14 A. (-1, 5) B. (-4, 3) C. (-2, 2) D. (-4, 4)HELP PLS Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 3p − 10 ≥ 7p + 6 true.Sascha owns stock in Lewis Corp and she bought a $5,000 corporate bond. She received $52.50 in quarterly interest from the bond. Sascha also owns stoc…k in Lewis Corp which is worth $46 per share, and it pays a $2 annual dividend. Part A Which is higher, the yield on the stock or the annual interest rate on the bond? Show your work and explain how you determined your solution. Part B If the bond matures in seven years, how much will Lewis Corp have paid Sascha in total? Part C If Sascha owns 1,500 shares of Lewis Corp, how much would she receive in annual dividends? Part D If Lewis Corporation later offers corporate bonds at an annual interest rate that is one percent higher than half the rate of the bond Sascha bought, create an equation that models the quarterly interest earned, q, for any given bond face value, v.​LOAD MOREPreviousNextAsk your question

What is the equation of the line that passes through the point (4, -4) and has a
slope of –3/4?

Answers

Answer:

y=-3/4x-1

Step-by-step explanation:

y=mx+b; y is the y coordinate; m is the slope; x is the x coordinate; you have to find b. So you replace all the numbers out which is given to you;

-4=-3/4(4)+b (you multiply -3/4 by 4 and get -3)

-4=-3+b (you add 3 to both sides and get -1)

-1=b (you now found b so plug it into the equation)

y=-3/4x-1

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