A. 110 degreesB. 180 degrees C. The measure of the angle can not be determined D. 70 degrees

Answer:

  m∠E = 52°

Step-by-step explanation:

You seem to want a step-by-step explanation of the logic to find the measure of angle E.

There are a number of approaches you might take to this. Here is one.

  [tex]\begin{array}{ccc}\text{Step}&\text{Angle}&\text{Reason}\\1&m\angle C=64^\circ&\text{Given}\\2&m\angle ADE=64^\circ&\textsf{Corresponding angles}\\3&m\angle DAB=64^\circ&\textsf{Alternate interior angles}\\4& m\angle DAE=64^\circ& \textsf{Angle bisector de}\textsf{finition}\\5& m\angle E=52^\circ&\textsf{Sum of angles in a triangle}\end{array}[/tex]

The measure of angle E is 52°.

The given system of equations is expressed as

x + 3y = 5

5x - 3y = 7

The first step is to add both equations.

the given UPC bar code digit is

2- 91273 - 05213 - d

for determining d we will follow the rule

first, we sum up all the odd place numbers

like

2 + 1 + 7 + 0 +2 + 3 = 15

then multiply with 3

15 * 3 = 45

then

we sum up all the even place numbers,

9 + 2 + 9 +5 + 1 = 26

now we will add these two results

26 + 45 = 71

now we can see that 71 is 9 less than the next multiple of 10 that is 80 in this case'

80 - 71 = 9

so the answer is

d = 9 .

2ab + c²

(a+b)² and a² + 2ab + b²

2ab

1) Examining that picture, we can state the following about that:

The shaded triangles area:

Note that the area of the triangle is 1/2 the product of the base by its height.

The area of that white inner square is given by c² since the Area of a square is equal to the side length raised to the 2nd powe.

2) Then

The expression 2ab + c² represents the area...

The equivalent expressions (a+b)² and a² + 2ab + b² use the length of the figure (a square) raised to the 2nd power. As explained above.

For the last statement let's calculate it:

2ab + c² = (a+b)²

a² +2ab + b² = 2ab +c² Subtracting 2ab

a² +b² = c²

3) Hence, the answers are:

2ab + c²

(a+b)² and a² + 2ab + b²

2ab

She made 12 bracelets with pastel colors

Here, we want to get the number of bracelets she made with pastel colors

From the question, we are told that for every 4 bracelets she makes with neon colors, she has 3 bracelets made with pastel colors

So the ratio of neon to pastel color bracelets is 4 to 3

For the 16 neon bracelets, let the number of pastel colored bracelets made be x

Thus, we have;

Answer: 12

Step-by-step explanation:

Answer:

A = (1, 1i)

B = (-7, 3i)

C = (-4, -7i)

Step-by-step explanation:

Complex numbers makes the x axis the "real" axis and the y axis the "imaginary" axis. Therefore, your "y" coordinates will have an "i" attached to them to signify that they are imaginary.

Reason:

There aren't any repeated items in the domain. Each x input goes to exactly one y output. This is why we have a function.

The y values can repeat, but the function wouldn't be one-to-one (i.e. injective).

The plant food should Miguel add to 7 cups of water is 336 plant food

What is Algebra?

One of the many different mathematical disciplines is algebra. Algebra, a common thread that runs through nearly all of mathematics, is the study of mathematical symbols and the rules for using them in formulas.

To feed his plants, Miguel combines water and plant food. According to the directions on the plant food, you should add 1 teaspoon to every 4 cups of water. To demonstrate the relationship between cups of water (w) and teaspoons of plant food (f), create an equation.

48 teaspoons = 1 cup.

1 teaspoon = plants food

4 cups =  water.

= 48 teaspoons x 4.

= 192 teaspoons

The formula is:

water in cups = w

Teaspoon of nourishment for plants equals f

The mixture = 192w + f

The relation between  f and w is f = kw.

1 teaspoon = plant food

7 cups = water.

= 48teaspoon x 7

= 336teaspoon

The formula is:

water in cups = w

Teaspoon of nourishment for plants equals f

The mixture = 336w + f

Hence, 336 plant food  should Miguel add to 7 cups of work

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Here, we want to calculate the value of ST

To do this, we need to check for similar triangles

As we can see; we have similar triangles and thus, will use the bisector theorem

We have this as;

But ST is x-5

Simply substitute the value of x in the expression

We have this as; 20-5 = 15

we have given Question is 7x-2xy+9xy+5

now we will rearrange it to like terms

7x-2x+9xy-2xy+5

we use simple addition and subtraction for like terms

5x+7xy+5

so here is the answer

5x+7xy+5

we can write it as below

5+5x+7xy=0

The true statements are,

The range for the distribution of the number of absences is larger for

class D.

The IQR for the distribution of the number of absences is larger for class C.

The interquartile range serves as a gauge for where a data set's "middle fifty" lies. An interquartile range (IQR) measures where the majority of the values lay, whereas a range measures where a set's start and finish are.

Given, Are 2 dot plots titled class absences.

Arranging the data set For class D,

0, 1, 2, 3, 3, 4, 7, 11.

So, The range of the data set D is 11 - 0 = 11.

The IQR for the absences for class D is Q₃ - Q₁ = 7 - 1 = 6.

Arranging the data set For class C,

0, 1, 1, 1, 1, 2, 3, 4, 5, 8, 10, 10.

So, The range of the data set C is 10 - 0 = 10.

The IQR for the absences for class C is Q₃ - Q₁ = 8 - 1 = 7.

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Answer

Explanation

To know how many solutions this system of linear equations have, we willl need to solve it.

2x + 3y = 6

-8x - 12y = -20

Making x the subject of formula in the first equation

2x + 3y = 6

2x = -3y + 6

Divide through by 2

(2x/2) = (-3y/2) + (6/2)

x = (-3y/2) + 3

Substituting this for x in the second equation

-8x - 12y = -20

x = (-3y/2) + 3

-8 (-3

A) For 300 mi of city driving plus 100 mi of highway driving:

Toyota Prius will need

Toyota Yaris will need

B) For 100 mi of city driving plus 300 mi of highway driving:

Toyota Prius will need

Toyota Yaris will need

To find the distance between her home and her latest position:

According to the question, the diagram is,

Consider the right triangle,

AB=120 km

BC=50 km

To find AC:

Using Pythagoras theorem,

Hence, the distance between the new position and her home is 130 km.

You would need a scientific calculator for this exercise.

On your calculator you simply enter the symbol e. (Please ensure your calculator has nothing on display before this)

After pressing the e button, you press the x raised to the power of y symbol and then input 3.32, as shown below;

Answer:

11/15 < 4/5

Step-by-step explanation:

this is because:

3/4 < 4/6 is the same as 9/12 < 8/12 which is incorrect

5/6 > 10/12 is the same as 10/12 > 10/12 which is incorrect

8/16 = 1/4 is the same as 8/16 = 4/16 which is incorrect

therefore the only possible answer is 11/15 < 4/15 because:

it is the same as 11/15 < 12/15 which is CORRECT

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

The probability of getting exactly three robberies in a day is 0.1607.

The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

In the poison distribution a discrete random variable X has the following probability mass function,

[tex]$P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !}$[/tex], where [tex]$\lambda$[/tex] is the mean of the distribution and [tex]$x=0,1,2,3 \ldots \ldots$[/tex]

Given that [tex]$\lambda=1.8$[/tex]

The required probability, [tex]$P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$[/tex]

Therefore, the probability of getting exactly three robberies in a day is = 0.1607.

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Outcomes are the possible pairings of crust and pizza that Heather can choose. Based on the tree diagram, we see that there are 12 possible pairings starting from (thin, onions) to (pan mushrooms). Hence, there are 12 outcomes.

Based on the list of outcomes, there is only 1 outcome in which both the regular crust and sausage are chosen.

Lastly, for pepperoni OR mushroom being chosen, let's take a look and count.

There are 6 outcomes in which pepperoni or mushrooms were chosen.

Answer:

11/12

Step-by-step explanation:

hopes this helps, I am sorry if I am wrong

5 1/2 ÷ 6

11/2 ÷ 6

11/2 × 1/6

11/12

Answer: 102/35

Step-by-step explanation:

Substituting into the slope formula,

[tex]\frac{7-4}{r-3}=-35\\\\\frac{3}{r-3}=-35\\\\\frac{r-3}{3}=-\frac{1}{35}\\\\r-3=-\frac{3}{35}\\\\r=102/35[/tex]

Find the area of the triangle;

The area of the triangle is 14 square units

**Please Note; The instruction is to type in a whole number, so you may exclude "Square Units" from your answer

Net Income tax payable $41,516.75 (f + g)

As per the data are given in the above question it is given that,

Henrich has $195,000 of taxable income,

i.e. Taxable Income (a) $195,000  

Which includes $50,000 of long-term capital gain that is taxed at preferential rates.

i.e. Preferentially taxed income (b) $50,000

Assume his modified AGI is $210,000.

Therefore Income taxed at ordinary rates ( c) $145,000

Tax on c above (d) $33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]

Tax on b above ( e) $7,500.00 = $50,000 x 15%

Total Income tax (f) $41,136.75 (d + e)

Investment Income, if any (g) $380 Only $10,000 is taxed at 3.8%, only ($210,000 - $200,000) i.e. $10,000

Net Income tax payable $41,516.75 (f + g)

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Answer: [tex]1\frac{16}{25}[/tex]

Step-by-step explanation:

1.64 is 1 64/100. Now to get the simplest form find a number you can divide both the numerator and the denominator by, like 4. Now you have 1 16/25. 16 and 25 do not have a common number you can divide both by so it is the simplest form.

Solution

For this case we can do the following procedure:

then the answer is: 44.4%

3y + 12 = 6

subtrac 12 from both sides of the equation:

3y + 12 -12 = 6 -12

3y = -6

divide both sides by 3

3y/3 = -6/3

y= -2

As given by the question

There are given that the inside edge is 4 in.

Now,

Since sphere fits snugly inside a cube therefore diameter of sphere will be equal to side of the cube

So,

Then,

Volume of the sphere is given by:

And,

The volume of a cube is:

Then,

The volume of the space between the sphere and cube = 64-33.5 = 30.5.

Hence, the answer is 30.5 cube inches.

ANSWER :

Triangles UWY and UXZ are similar

EXPLANATION :

Two triangles are similar if the ratio of their corresponding sides is the same.

We can try UW/UX, WY/XZ, and UY/UZ

Since the ratios are the same, then the triangles are similar.

Given the equation of the circle:

We will complete the squares for x and y to write the equation of the circle as:

Where (h,k) is the coordinates of the circle and r is the radius of the circle

so, the equation will be:

So, the radius of the circle = 4

And the center of the circle = ( -2, 6 )

Now, we will make the transformation for the circle:

Shift 1 unit up, the center will be = ( -2, 7 )

shift 2 units right, the center will be = ( 0, 7 )

Reflection across the x-axis, the center will be = ( 0, -7)

So, the equation of the circle after transformation will be:

So, the answer will be:

Question number 4

Given:

One side of a right-angled triangle 6 and the hypotenuse of the triangle 10

Required:

Another side of the triangle

Explanation:

For the right-angled triangle, Pythagorean theorem is applied which is

where

a=side of the right triangle

b=side of the right triangle

c=hypotenuse

so hypotenuse =

Final Answer:

8

The system that are equivalent to the system

6d+4.5e = 16.5

45d +4.5e = 4 are

30d +22.5e= 82.5

5d + 0.5e = 4,  

30d +22.5e 82.5

30d +3e = 24 and

6d+4.5e=16.5

6d+0.6e = 4.8

What is substitution method?

Substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

In equation two,

30d +22.5e= 82.5

5d + 0.5e = 4

5(6d + 4.5e) = 5 (16.5)

5d + 0.5e = 4

similarly, the equation 3

5(6d +4.5e) = 5(16.5)

6(5d + 0.5e) = 6(4)

Similarly, the equation 4

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