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



Slopes are equal; therefore, segments are parallel

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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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

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

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

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]

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

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

Answer:

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

Step-by-step explanation:

formula

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

0 solutions.

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

166≠470

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

Answer:

14, sqrt(200), 15

Step-by-step explanation:

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

Answer:

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

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

Answer:

(-3, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x = 2y - 5

-2x + 5y = 11

Step 2: Solve for y

Substitution

Step 3: Solve for x

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

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

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

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

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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Answer:

13

Step-by-step explanation:

x/y = 4

x=4y

x - y = 39

4y - y = 39

3y = 39

y= 13

Answer:12

Step-by-step explanation:

Answer:

60 (0.25)

Step-by-step explanation:

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

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

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

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.

do you have it on edg???

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: