The figure below shows rectangle ABCD:


The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other:

Which statement can be used to fill in the blank space?
(A) ∠ABD ≅ ∠DBC
(B) ∠CAD ≅ ∠ACB
(C) ∠BDA ≅ ∠BDC
(D) ∠CAB ≅ ∠ACB

Approximately 15 million more cars and trucks were flex-fuel in 2016 compared to 2004.

The number of flex-fuel cars and trucks in 2004 was approximately 5 million. In 2016, this number increased to about 20 million. To find out how many more cars and trucks were flex-fuel in 2016, we need to subtract the number of flex-fuel vehicles in 2004 from the number in 2016.

Number of flex-fuel vehicles in 2016: 20 million

Number of flex-fuel vehicles in 2004: 5 million

More flex-fuel vehicles in 2016 = Number of flex-fuel vehicles in 2016 - Number of flex-fuel vehicles in 2004
= 20 million - 5 million
= 15 million

https://brainly.com/question/35483814

#SPJ2

The correct answer is 3*4=12/6=2+2=4

Your answer is 4

3 x 4 ÷ (6 + 2) = 1.5

3 x 4 ÷ (6 + 2) =

3 x 4 ÷ 8 =

12 ÷ 8 =

1.5

Hope this helps you

-AaronWiseIsBae

yes, so in total she baked 120 goodies.

Why hello there

If Angie baked 100 cookies and 20 brownies i asume you are asking eaither 4 thing

Multiplyed: 2,000

Divided: 5

Subtracted: 80

Added: 120

If my answer helped please mark me as brainliest thank you and have the BEST day ever!

The final value of g(-4t) is [tex]16t^2 - 4.[/tex]

To find the value of g(-4t) with [tex]g(x) = x^2 - 4[/tex], substitute -4t into the function

The task is to find the value of g(-4t) when given that [tex]g(x) = x^2 - 4.[/tex]

To solve this, we simply replace x with -4t in the function g(x).

So, [tex]g(-4t) = (-4t)^2 - 4.[/tex]

Squaring -4t gives us [tex]16t^2[/tex], so the expression simplifies to [tex]16t^2 - 4.[/tex]

The final value of g(-4t) is [tex]16t^2 - 4.[/tex]

The values are: f(-3) = -11, f(m) = 6m + 7, f(r-2) = 6r - 5, g(5) = 21, and g(a) + 9 = a^2 + 5.

Complete question is:

If f(x)=6x+7 and g(x)=x^2-4, find each value.

1.) f(-3)

2.) f(m)

3.) f(r-2)

4.) g(5)

5.) g(a)+9

How do I solve?

Set up equations:

(1) speedbus = speedbike+4

(2) speedbus/speedbike = 180/156

plug (2) into (1)

speedbike * 180/156  = speedbike + 4  

(solve for speedbike)

speedbike = 4 / (180/156-1) = 26 mph

--> speedbus = 26+4 = 30mph

k=-4

7k+2=4K-10

+10   +10

7k+12=4K

-7k      -7k

12=-3k

Divide both sides by -3

K=-4

The solution is k = -4.

To solve the linear equation 7k+2=4k-10, we need to isolate the variable k on one side of the equation. Here are the steps to simplify the equation and find the value of k:

Subtract 4k from both sides to eliminate the variable from the right side of the equation: 7k - 4k + 2 = 4k - 4k - 10, which simplifies to 3k + 2 = -10.

Subtract 2 from both sides to eliminate the constant term from the left side of the equation: 3k + 2 - 2 = -10 - 2, which simplifies to 3k = -12.

Divide both sides by 3 to solve for k: 3k / 3 = -12 / 3, which simplifies to k = -4.

Now we need to check the solution by substituting k = -4 back into the original equation to verify that it holds true:

7(-4) + 2 = 4(-4) - 10

-28 + 2 = -16 - 10

-26 = -26

The left and right sides of the equation are equal, confirming that k = -4 is the correct solution. Thus, the steps are justified and the solution is reasonable

Fourth is correct option, {0, -6}.

Solution:

Equation:

-2x2 + 12x = 0

= x(-2x + 12) = 0

= x= 0                                       ,     -2x + 12 = 0

                                                           -2x =-12

                                                               x = -12/-2

                                                                x = -6

                                          Solution set = {0, -6}

What are the options for this answer so I can further help you.

Add  19  to both sides of the equation :  

                     6x = 19  

Divide both sides of the equation by 6:

                    x = 19/6 = 3.167  

One solution was found :

                  x = 19/6 = 3.167

A container has 17 and 1/2 cups of lemonade.

Asher gives each of his classmates 5/6 of a cup.

He gives away all of the lemonade.

Solution:

There are 17.5 cups of lemonade.

Each classmate receives 5/6 of a cup.

So the number of classmates = Number of cups ÷  proportion of a cup each student receives

Number of classmates = 17.5 ÷ 5/6 = 21 classmates

There are 21 classmates.

Answer:

21 classmates.

Step-by-step explanation:

We have been given that a container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup.

To find the number of classmates that will get lemonade, we will divide total amount of lemonade by amount given to each classmate.

[tex]\text{Classmates that will get lemonade}=17\frac{1}{2}\div\frac{5}{6}[/tex]

Convert mixed fraction into improper fraction:

[tex]17\frac{1}{2}\Rightarrow=\frac{17\times 2+1}{2}=\frac{34+1}{2}=\frac{35}{2}[/tex]

[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\div\frac{5}{6}[/tex]

Convert into multiplication problem by flipping the 2nd fraction:

[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\times\frac{6}{5}[/tex]

[tex]\text{Classmates that will get lemonade}=\frac{7}{1}\times\frac{3}{1}[/tex]

[tex]\text{Classmates that will get lemonade}=7\times3[/tex]

[tex]\text{Classmates that will get lemonade}=21[/tex]

Therefore, Asher gave lemonade to 21 classmates.

My calculator says:

16 x 60 = 960

Answer:

Sorry that im late but the answer is 1,1,3,3

Step-by-step explanation:

follow the graph steps and then calculate the points

A graph is used to show the relationship between related variables.

The complete table is:

[tex]\left[\begin{array}{cc}x&f(x)\\-1&1\\-3&1\\-5&3\\-6&3\end{array}\right][/tex]

A function is said to be even is:

[tex]f(x)=f(-x)[/tex]

This means that:

[tex]f(-1)=f(1)[/tex]

[tex]f(-3)=f(3)[/tex]

[tex]f(-5)=f(5)[/tex]

[tex]f(-6)=f(6)[/tex]

So, from the graph, we have:

[tex]f(1) = 1[/tex]

[tex]f(3) = 1[/tex]

[tex]f(5) = 3[/tex]

[tex]f(6) = 3[/tex]

This implies that:

[tex]f(-1) = 1[/tex]

[tex]f(-3) = 1[/tex]

[tex]f(-5) = 3[/tex]

[tex]f(-6) = 3[/tex]

Use the above values to complete the table. So, we have the complete table to be:

[tex]\left[\begin{array}{cc}x&f(x)\\-1&1\\-3&1\\-5&3\\-6&3\end{array}\right][/tex]

Read more about even functions at:

https://brainly.com/question/12862201

ANSWER

QUESTION 17a

We were given the relation, [tex]y=15x[/tex], where y represents the number of new vocabularies learned, and x represents the number of weeks

Draw a horizontal line for number of weeks and a vertical line for number of vocabulary words using a scale of 5 units on both axes.

To graph this equation we need at least three points,

When

[tex]x=0[/tex], [tex]y=15(0)[/tex], [tex]\Rightarrow y=0[/tex]

So we plot the point [tex](0,0)[/tex]

When

[tex]x=1[/tex], [tex]y=15(1)[/tex], [tex]\Rightarrow y=15[/tex]

So we plot the point [tex](1,15)[/tex]

When

[tex]x=2[/tex], [tex]y=15(2)[/tex], [tex]\Rightarrow y=30[/tex]

So we plot the point [tex](2,30)[/tex]

Using a straight edge we draw a straight line through these three points.

The equation of the line is of the form [tex]y=mx[/tex], where [tex]m=15[/tex] is the slope.

This tells us that the 15 new vocabulary words are learned each week.

QUESTION 17 B

To find the number of new vocabulary words learnt after 5 weeks, we plug in [tex]x=5[/tex] in to the equation.

[tex]y=15(5)[/tex]

This gives us

[tex]y=75[/tex]

Therefore after 5 weeks, you learn 75 new vocabulary words.

QUESTION 17 C

We  find the number of vocabulary words learned after 4 weeks and subtract it from the number of vocabulary words learned after 6 weeks'

To find the number of new vocabulary words learnt after 4 weeks, we plug in [tex]x=4[/tex] in to the equation.

[tex]y=15(4)[/tex]

This gives us

[tex]y=60[/tex]

Therefore after 4 weeks, you learn 60 new vocabulary words.

To find the number of new vocabulary words learnt after 6 weeks, we plug in [tex]x=6[/tex] in to the equation.

[tex]y=15(6)[/tex]

This gives us

[tex]y=90[/tex]

Therefore after 6 weeks, you learn 90 new vocabulary words.

We now subtract to get

[tex]90-60=30[/tex]

Therefore you learn 30 more vocabulary words after 6 wees than after 4 weeks.

The given equation y=15x + 17 represents the number of new vocabulary words you learn every week. Here, you learn 15 new words each week. You already know 17 words at the start (when x=0).

The question is asking for the interpretation of the equation y=15x + 17, which represents the number of new vocabulary words, y, that you learn after x weeks. Here, 15 is the coefficient of x, which means that you learn 15 new words per week. The number 17 is the constant term, implying that even without any weeks passing (when x=0), you already know 17 words. Thus, after one week, you would know 15*1 + 17 = 32 words, after two weeks, 15*2 + 17 = 47 words, and so on.

https://brainly.com/question/32634451

#SPJ3

Answer:

amount remaining = 1.483  kg

Step-by-step explanation:

According to the question Ming weighed the bag of soil for a science experiment. He discovered the weight was 2.003 kg . She then removed 0.520 kg of soil from the bag she weighed initially.

The amount in weight(kg) of soil that is remaining in the bag will be the initial weight minus the amount of weight she removed .

amount remaining = initial weight - amount removed

initial weight = 2.003 kg

amount removed = 0.520 kg

amount remaining = 2.003 - 0.520

amount remaining = 1.483  kg

After applying the dilation with a scale factor of 3/4, point B at (4,-16) will transform to B prime (B') at (3,-12).

The point B is originally at (4,-16). In a dilation, each coordinate of the initial point is multiplied by the scale factor to obtain the coordinates of the transformed point. Here, the scale factor is 3/4. To find the coordinates of the point B prime (B') after the dilation, we multiply each coordinate of point B by 3/4:

X-coordinate of B' = 4 * (3/4) = 3

Y-coordinate of B' = -16 * (3/4) = -12

Therefore, the coordinates of B prime (B') after the dilation with a scale factor of 3/4 are (3, -12).

https://brainly.com/question/29811168

#SPJ11

NO, the difference between two positive rational numbers is not always positive.

A rational number is any number that can be expressed as a fraction of two different integers and these integers in their fractional form are not equal to zero.

Now, let assume the two positive numbers are 8 and 12. In rational positive

number, the numbers will be: [tex]\mathbf{\dfrac{8}{1}}[/tex]  and [tex]\mathbf{\dfrac{12}{1}}[/tex]

The difference between these two rational numbers will not be positive because 12 is a larger number than 8.

[tex]\mathbf{=\dfrac{8}{1}-\dfrac{12}{1}}[/tex]

= -4

Therefore, the difference between two positive rational numbers is not always positive.  

Learn more about rational numbers here:

https://brainly.com/question/15815501?referrer=searchResults

y2 = m(x2-x1) + y1

Hope this helps :)

Answer:

Your tip was $6.11.

Step-by-step explanation:

You worked the dinner shift tonight and served a family their dinner.

The bill was $43.89. They left $50 to pay for the meal.

So, the remaining difference was your tip.

The remaining balance = [tex]50-43.89=6.11[/tex] dollars

Therefore, your tip was $6.11.

a. 12.8 + 27.38 + 0.562 = 40.742

b. 13.46 + 5.003 + 0.0321 =18.4951

c. 0.952+ 1.57 + 0.803 =3.325

d. 43 + 2.386 + 3.74 =49.126

e. 13.678 + 52.04 + 5.276 + 0.63 =71.624

f. 0.6 + 0.54 + 1.2 + 116.086 =1.7361

g. 54.2 + 5.42 + 0.542 + 0.0541 =60.2161

h. 10.01 + 9.987 + 3.75 + 2.316=26.063

Answer with Step-by-step explanation:

We have to add the decimals.

a. 12.8 + 27.38 + 0.562 = 40.742

b. 13.46 + 5.003 + 0.0321 =18.4951

c. 0.952+ 1.57 + 0.803 =3.325

d. 43 + 2.386 + 3.74 =49.126

e. 13.678 + 52.04 + 5.276 + 0.63 =71.624

f. 0.6 + 0.54 + 1.2 + 116.086 =118.426

g. 54.2 + 5.42 + 0.542 + 0.0541 =60.2161

h. 10.01 + 9.987 + 3.75 + 2.316=26.063

she made $140 dollars babysitting

                                                     hope it helps

All we have to do to find the total amount of money she made babysitting, is add up $22, $55, $38 and $25. This will give us the total

$22 + $55 + $38 + $25 = $140

Therefore she made a total of $140 babysitting

Hope this helps you

-AaronWiseIsBae

L = length of string

L * .30 = 40m

L = 40 / .30

Length of the whole string = 133.3333333333 m

70% = .70 * 133.3333333333 = 93.3333333333m

ya ah oh what is up fam

yeet lol

yeet lol

It would be 13 because if you add 3,6,and 4you get 13. Also you should add those because they are the only numbers not in the mushroom circle of the Venn diagram.

Answer:

13

Step-by-step explanation:

For this one, take the amount of weeks time the amount of days in a week and multiply them together.

9 weeks

7 days in a week

9 times 7= 63.

Since it is a word problem, we need to answer it in the same format.

Teresa was on vacation for 63 days.

The probability of obtaining a grade of 'B' in the given science class, using the concept of conditional probability, is 0.320.

To find the probability of getting a grade of 'B' given that it's a science class, also known as conditional probability, we can use the following formula:

P(grade of B | science class) = (number of students with a 'B' in science) / (total number of students in the science class).

When we apply the given numbers from the tables:

(Number of students with B in science class) = 8

(Total number of Students in the science class) = (A=5) + (B=8) + (C=10) + (D=1) + (F=1) = 25

Substituting the obtained numbers in our formula, we find:

P(grade of B | science class) = 8 / 25 = 0.320

So, the probability of getting a grade of 'B' given that it's a science class is 0.320. Therefore, the answer is O 0.320.

Learn more about Conditional Probability here:

https://brainly.com/question/32171649

#SPJ6

The probable question may be:

The table shows the current grades in one of the math classes and one of the science classes at a local high school. Find P(grade of B | science class).

Math: A=7, B=4, C=13, D=2,  F=0.

Science: A=5, B=8, C=10, D=1,  F=1.

O 0.154

O 0.235

O 0.667

O 0.320

$3.00 is with a 40% discount

so 3 = 0.6x  (3 is 1.00 - 0.40 = 0.60 of unknown original price x)

so 3/0.6 = x to get that price which is $5

Answer:

Step-by-step explanation:

$3.00 is with a 40% discount

so 3 = 0.6x  (3 is 1.00 - 0.40 = 0.60 of unknown original price x)

so 3/0.6 = x to get that price which is $5

Hope it helps!

It is D, biased, because biased means 'favorited', or, in a different case, 'hated'.

As the slope of parallel lines are equL therefore slope of required line is -1/6

Answer: The answer is -1/6

Step-by-step explanation:

The other person was right and I happened to get an A<3