In the diagram, line y is parallel to line EF . Lourdes used the diagram to find that m1 = 105°.


What mistake did Lourdes make in finding m1?
A. Lourdes found 180º – (70º + m2).
B. Lourdes found m1 = mE.
C. Lourdes found mD + mF.
D. Lourdes found 180º – (mD + mF

Answer:

Emily can deduct $1975 for medical expenses.

Step-by-step explanation:

Emily is itemizing deductions on her federal income tax return and had $5200. Her AGI was $43,000.

We have:

The AGI is =$43,000

Medical expenses amount = $5200

If medical expenses are deductible to the extent that they exceed 7.5% or 0.075  of a taxpayer’s AGI, means  = 43,000 * 0.075 = $3225

Now the deductible amount is  = $5200 - $3225 =  $ 1975

Hence,Emily can deduct $1975 for medical expenses.

Answer:

Emily can deduct the $1,975 in medical expenses from her adjusted gross income.

Step-by-step explanation:

Before an individual could deduct medical expenses as long as they exceeded 7.5% of their adjusted gross income (currently it's 10%).

If Emily's AGI = $43,000, then she will be able to deduct medical expenses that exceed $3,225 (= $43,000 x 7.5%).

Emily's medical expense deductions = $5,200 - $3,225 = $1,975.

If this situation happened this year, Emily would have only been able to deduct $900  [= $5,200 - ($43,000 x 10%)]

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

3,982 can be rounded to 4,000

4,592 can be rounded to 4,600

4,000 + 4,600 = 8,600

Answer:

8574

Step-by-step explanation:

Answer:

If the time is less than 5 hours cost less to hire Hank’s Movers

Step-by-step explanation:

Let

y -----> charge to move  household goods across town.

x ----> number of hours

we know that

Acme Movers

y=40x+175 ------> equation A

Hank’s Movers

y=75x ------> equation B

Equate equation A and equation B

75x=40x+175

solve for x

75x-40x=175

35x=175

x=5 hours

For x=5 hours the charge is the same in both company

therefore

For x < 5 hours cost less to hire Hank’s Movers

Answer:

-1

Step-by-step explanation:

First do the slope formula

y2-y1/x2-x1 so

3-(-3)/-4-2

6/-6=-1

Answer:

D: {x ∈ R}

R: {y ∈ R}

Step-by-step explanation: Hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐

15n -20

Good luck!! :)

Answer:2

Step-by-step explanation:

Answer: Month 10

If you do 400 + (20 x 10) you get 600

If you do 200 + (40 x 10) you get 600

Hope this helps!

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is [tex]\frac{1}{2}[/tex]

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

[tex]\frac{14}{4}=3.5\ box[/tex]

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

[tex]14-3(4)=2\ cupcakes[/tex]

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

[tex]\frac{2}{4}=\frac{1}{2}[/tex]

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

[tex]4-2=2\ cupcakes[/tex]

therefore

Are needed 2 cupcakes to fill the last box

Answer: THIRD OPTION.

Step-by-step explanation:

Since  [tex]g(x) = -2f(x)[/tex], then [tex]g(x)[/tex] is:

[tex]g(x)=-2( x + 4)\\\\g(x)=-2x-8[/tex]

In order to find which table represents [tex]g(x) = -2f(x)[/tex] when [tex]f(x) = x + 4[/tex], you can follow these steps:

1. Substitute [tex]x=1[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(1)=-2(1)-8\\\\g(1)=-10[/tex]

2. Substitute [tex]x=2[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(2)=-2(2)-8\\\\g(2)=-12[/tex]

3. Substitute [tex]x=3[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(3)=-2(3)-8\\\\g(3)=-14[/tex]

Notice that those ouput values (for [tex]x=1,\ x=2[/tex] and [tex]x=3[/tex]) matches with the table provided in the third option. That table represents [tex]g(x) = -2f(x)[/tex] when [tex]f(x) = x + 4[/tex]:

Answer: C.                                                                                                             x g(x)

1 −10

2 −12

3 −14

Step-by-step explanation: i took the test babes

a:

Mean is found by adding all the numbers in a data set, then dividing by the amount of numbers added.

Group 1 Mean: 42

Group 2 Mean: 52

b:

The only extreme value in these data sets is 150. An extreme value makes a mean that makes no sense. It distorts it.

c:

No. Group 2 is not a good indication of the typical salary in the group. It has a value that is a lot higher than all the other salaries in the group.  

Answer:

Step-by-step explanation:

D), and A

Answer:

Option A) Make sure all the angles are 1/3 the size of the pre-image with the point of dilation in the center.

Step-by-step explanation:

In order to dilate an image, it is necessary that the angles are all of the equal size and magnitude. This makes the dilation of the pre-image easier

The shorter piece is 37 cm

The longer piece is 48 cm:

Step-by-step explanation:

Divide 85 cm by 2 = 42.5

Divide 11 cm by 2 = 5.5

Add them together = 48 cm

85 cm - 48 cm = 37 cm

Length of 1st piece = 37 cm

Length of 2nd piece = x + 11 = 37 + 11 = 48 cm

Now -

Length of smaller piece = 37 cm

Length of larger piece = 48 cm

We have a board which is 85cm in length and must be cut so that one piece is 11cm longer than the other piece.

We have to find the length of each piece, length of the smaller piece, length of the larger piece.

Now -

x + (x + n) + (x + 2n) = 100

3x + 3n = 99

x + n = 33

n = 33 - x

According to the question, we have -

Length of board = 85cm.

Assume that the length of first piece be x. Then -

x + ( x + 11 ) = 85

2x + 11 = 85

2x = 74

x = 37

Hence -

Length of 1st piece = 37 cm

Length of 2nd piece = x + 11 = 37 + 11 = 48 cm

Now -

Length of smaller piece = 37 cm

Length of larger piece = 48 cm

To solve more questions on length estimation, visit the link below-

https://brainly.com/question/12391991

#SPJ2

Answer:

Katie can bake 48 muffins in 90 minutes.

Step-by-step explanation:

So, as you can see, it says she can bake 24 muffins in 45 mins. Some you make that a fraction:

24/45. The question asks how many muffins she can bake in 90 mins. So, next to the first fraction (proportion) write x/90.

Why x? Because you don't know how many muffins she made, so you'll use that to replace the number for now. X is the numerator because on the last proportion, you put the number of minutes as the denominator. X= how many muffins Katie baked.

So, you cross multiply. Multiply one numerator by the others denominator. Like this: 24×90 and 45×X. Write the answers under the denominator (Ex: 24 X

45 90

-----------

45x = 2160

Now, separate the variable (x) and the constant (45). To do something you must divide. Divide it by 45 to get x. Then, place your equal sign on the right side of that. Now, whatever you do to one side of the equal sign you must do to the other. So, divide 2160 by 45. If done coorectly, you should've gotten 48. X=48 muffins. Therefore, Katie baked 48 muffins.

Sorry about the length! I kinda got carried away lol

Also, for the explanation for how you know, my work above should explain that.

Well, I hope I was helpful!

Answer:

y=3x-1 is your answer and now I have to add stuff

To represent Isiah's age, the variable expression is I = 2J - 3. To represent Kaleb's age, the variable expression is K = 4I.

To write a variable expression for Isiah's age, we start by defining a variable. Let's call Isiah's age 'I'. We are given that Isiah is 3 years younger than twice Jack's age, which can be written as 2J - 3. So, the variable expression for Isiah's age is I = 2J - 3.

To write a variable expression for Kaleb's age, we know that Kaleb is 4 times Isiah's age. Therefore, Kaleb's age can be represented by the variable expression K = 4I, where 'K' represents Kaleb's age and 'I' represents Isiah's age.

Let Jack's age be represented by a variable, let's say j. To express Isiah's age in terms of Jack's age, we use the information given in the question. Isiah is 3 years younger than twice Jack's age, so we can write the expression for Isiah's age as 2j - 3. Following that, we can represent Kaleb's age as being 4 times Isiah's age, which can be expressed as 4(2j - 3).

Answer:

C

Step-by-step explanation:

Given the complex number a ± bi, then the complex conjugate is

a ∓ bi

Note the real part remains unchanged while the sign of the imaginary part is reversed, thus

The conjugate of 7 - i  is 7 + i → C

Answer:

○ C 7 + i ohms

Step-by-step explanation:

Conjugates are expressions with OPPOSITE operation symbols, so the conjugate of 7 - i is 7 + i.

I am joyous to assist you anytime.

Answer:

Step-by-step explanation:

Looking at the values for [tex]y[/tex], you can see that each value is twice the previous value, which means that the missing value will be twice the previous value, which was 40, so the answer is 80.

When x = 4, the missing value is y = 80. therefore, option 80 is correct.

The table represents an exponential function, which can be expressed in the form y = ab^x, where "a" is the initial value (when x = 0), and "b" is the common ratio or base.

From the table, when x = 0, y = 5. This gives us the value of "a," which is 5.

Now, we can use this information to find the missing value when x = 4.

y = ab^x

y = 5 * b^4

To find "b," we can use another data point from the table, for example, when x = 1, y = 10:

10 = 5 * b^1

Now, solve for "b":

10 = 5b

Divide both sides by 5:

b = 10 / 5

b = 2

Now that we know the value of "b" is 2, we can find the missing value when x = 4:

y = 5 * 2^4

y = 5 * 16

y = 80

for such more question on missing value

https://brainly.com/question/17150762

#SPJ2

5x-7

x would be the unknown number. for example if it were 3 you would multiply 3 and 5 to get 15 then minus 7 to get 8.

Answer:

x=1      -3(1+4)=-15

Step-by-step explanation:

-3(x+4)=-15

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

-3         -3

x+4= 5

  -4=-4

x=1

That should be right

-3(x+4)=-15

mutiply the bracket by -3

(-3)(x)= -3x

(-3)(4)=-12

-3x-12= -15

move -12 to the other side

sign changes from -12 to +12

-3x-12+12= -15+12

-3x= -15+12

-3x= -3

divide both sides by -3

to get + x and by itself

-3x/-3= -3/-3

Answer:

x= 1

Hello!

A, and C

B is just a number. D is a term. anything with an equal sign is considered a mathematical equation/sentence

I hope this helps, and have a nice day!

Answer:

The answers are A and C

Step-by-step explanation:

A and C are correct mathematical sentences.

B is just a coefficient

Also D is simply the factor of 2 and x or twice a number but not a sentence.

Hope this helps. Que, brainliest is appreciated if I have earned it.

Answer: 215

Step-by-step explanation:

Answer:

$9.40, $0.60, $10.60

Step-by-step explanation:

$8.53 + $0.87 = $9.40

$10 - $9.40 = $0.60

$20 - $9.40 = $10.60

Answer:

8,53+0,87=$9,40

if you pay $10 - 9,40 = $0,60 ( you will get $0,60 back )

if you pay $20 -9,40 = $10,60 ( you will get $10,60 back )

Step-by-step explanation:

Answer:

The value of 4 is an input of the function

Step-by-step explanation:

Let

x -----> the independent variable or input value

y ----> the dependent variable or output value

we know that

Looking at the graph

The domain (input values) of the linear function is equal to the interval

[1,∞)

[tex]x\geq 1[/tex]

All real numbers greater than or equal to 1

The range (output values) of the linear function is equal to the interval

(-∞,3]

[tex]y\leq 3[/tex]

All real numbers less than or equal to 3

therefore

The value of 4 is an input of the function

The value is an input of the function? 4

The graph represents a functional relationship. On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14). Which value is an input of the function?

A functional relation definition is a binary relation R⊂A×B between sets A and B, such as (a,b)∈R and (a,c)∈R imply b=c.

By determining whether a relation is a function involves making sure that for every input there is only one output. In order for a relation that called function, each X value must have one Y value whereas X has to have one Y value. X is the independent variable or input value, whereas Y is the dependent variable or output value

According to the graph attached, the linear function domain is equal to the interval [1,∞). All real numbers according to the graph is greater than or equal to 1. Whereas the linear function range is equal to the interval (-∞,3]. All real numbers less than or equal to 3, the value of 4 is an input of the function

Learn more about the function:   brainly.com/question/9590016

#LearnWithBrainly

Answer:

x, 2/3(cx+1/2)- 1/4= 5/2 : x= 29/8c; c \neq 0

Step-by-step explanation:

D. The value of x in terms of c is  [tex]x=\frac{29}{8c}[/tex]

The given equation is [tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}=\frac{5}{2}[/tex]

Solving we get,

First we have to add 1/4 in both sides,

[tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{5}{2}+\frac{1}{4}[/tex]

⇒ [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{10+1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{11}{4}[/tex]

⇒  [tex](cx+ \frac{1}{2})=\frac{11}{4}*\frac{3}{2}[/tex]

⇒ [tex](cx+\frac{1}{2} )=\frac{33}{8}[/tex]

⇒ [tex]cx = \frac{33}{8} -\frac{1}{2}[/tex]

⇒ [tex]cx = \frac{33-4}{8}[/tex]

⇒ [tex]cx=\frac{29}{8}[/tex]

⇒ [tex]x=\frac{29}{8c}[/tex]

Learn more about equation here :

https://brainly.com/question/27893282

#SPJ2

Answer:

14/21

Step-by-step explanation:

Total marbles = 7+8+6 = 21

7 Red

8 Green

6 Blue

Probability of choosing Red = 7/21

Probability of choosing Green = 8/21

Probability of choosing Blue = 6/21

Probability of choosing Green or Blue = 8/21 + 6/21 = 14/21

Answer:

As a fraction: 7/4

As a decimal: 1.75

Hope this helps!

Answer:

Place an x at every hash listed

Step-by-step explanation:

The reason being they are listed at 0, then 0.25, then 0.5, and so forth. The x's represent the exchanges so the hashes make a mark at every 0.25 miles