which statement explains why ABC is congruent to A’B’C’?

Given statement solution is :-  For the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.

Regular Pay:

Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:

Regular Pay = Regular Hours x Hourly Rate

Regular Pay = 40 hours x $11.90/hour

Regular Pay = $476

Overtime Pay:

Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.

Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)

Overtime Pay = 13 hours x ($11.90/hour x 1.5)

Overtime Pay = 13 hours x $17.85/hour

Overtime Pay = $231.45

Gross Pay:

Gross Pay is the sum of Regular Pay and Overtime Pay.

Gross Pay = Regular Pay + Overtime Pay

Gross Pay = $476 + $231.45

Gross Pay = $707.45

Therefore, for the third week of April, Patricia's:

Regular pay amount is $476.

Overtime pay is $231.45.

Gross pay is $707.45.

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Answer:

y = 4/3x - 3

Step-by-step explanation:

y = mx + b

m is the slope and b is the y - intercept

The slope is rise/run, count how much it rises, or goes down, and how much it goes to the right. So there are points highlighted for us already, pick 2 points and count the units between them for rise it's 4, for run it's 3. So the slope is 4/3

b is the y-intercept, it's where the line goes through the y-axis, in this case it's -3

So plug the numbers in and it's y = 4/3x - 3

Answer:

PICTURE NOT LOADING BUT GUESS OR LOOK IT UP OR SOMETHING SORRY SOS ANYONE SOS

Step-by-step explanation:

Answer:

y=x+6

Step-by-step explanation:

First, write out the slope intercept equation.

y=mx+b

Ok, the first step for finding a linear equation is finding the y-intercept. The line crosses the y-axis at 6, so the y-intercept is 6. Plug that into the slope-intercept Equation:

y=mx+6

Then, slope is rise over run, and the line goes up 1 and right 1 to get to the next point, so divide those numbers.

1/1=1

Then plug that into your slope intercept equation:

y=1x+6

Since the one won't do anything, it will just be this:

y=x+6

Answer:

To solve this problem, we need to set up an inequality that represents the situation where Joseph will have more than 125 books.

Let w be the number of weeks.

At the end of w weeks, Joseph will have 50 + 5w books (since he adds five books to his library every week).

To find the inequality that represents having more than 125 books, we can set up the following equation:

50 + 5w > 125

Simplifying this inequality:

5w > 75

w > 15

Therefore, the inequality that represents the situation where Joseph will have more than 125 books is:

5w + 50 > 125

The answer is B.

Answer:

d

Step-by-step explanation:

This equation has infinitely many solutions.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here, we have

Given: 3x+4y = -10...(1),

y = -3/4x - 5/2....(2)

We solve this linear equation and we get

We multiply equation (2) by 4 and we get

4y + 3x = -5(2)

4y + 3x = -10

Hence, this equation has infinitely many solutions.

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A log function is a way to find how much a number must be raised in order to get the desired number. The correct equation is B.

A log function is a way to find how much a number must be raised in order to get the desired number.

\(a^c =b\)

can be written as

\(\rm{log_ab=c\)

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

The exponential equation is equivalent to this logarithmic equation, log₂ x = 24 is,

log₂ x = 24

2²⁴ = x

Hence, the correct equation is B.

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Step-by-step explanation:

Some manmade magnets will maintain their magnetic properties forever*. These are referred to as permanent magnets. Some will only be magnetic when in the presence of an external magnetic field, such as from a permanent magnet. These “temporary” magnets are called soft magnets.

In this exercise we have to use the knowledge of magnetism to be able to explain, in this way we find that:

Is true.

So remembering some information about magnetism we have:

So with this knowledge, we can say that:

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Answer:

increases

Step-by-step explanation:

The width of the confidence interval decreases as the sample size increases.

When there is the decrease in the standard deviation so the width of the confidential interval should be increased.

Given that,

Based on the above information, the following information should be considered.

Therefore we can conclude that when there is the decrease in the standard deviation so the width of the confidential interval should be increased.

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The money had been invested for 3.5 years when the simple interest is $2240 and interest rate is 3.2%

Simple interest is a quick and easy approach to compute loan interest. Simple interest is computed by multiplying the daily interest rate by the principle multiplied by the number of days between payments.

To calculate simple interest, multiply the principal amount by the interest rate and period. "Simple Interest = Principal x Interest Rate x Time," the formula states. This is the most basic method of calculating interest.

In its most basic form, interest is calculated as a percentage of the principal. For example, if you borrow $100 from a friend and agree to repay it with 5% interest, your interest payment would be 5% of $100: $100(0.05) = $5.

Given,

P=$20000

Simple Interest=$2240

R=3.2

T=?

S.I=PTR/100

T=(100×S.I)/P×R

T=(100×2240)/(2000×3.2)

T=3.5 years.

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Answer:

18 eggs would be the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 times 2 equales 10 divided by 40 eqauls 4 times 2 equals 8

Answer: 2x+52=2(x+26)

3x-35=-105

Step-by-step explanation:

Step-by-step explanation:

\({ \huge{ \red{ \bf( \frac{3}{4} ) {}^{3} }}}\)

\({ \huge{ \blue{ \bf{( \frac{3 \times 3 \times 3}{4 \times 4 \times 4} )}}}}\)

\({ \large{ \pink{ \boxed{ \tt{ \bigg( \frac{27}{64} { \bigg)}}}ans.}}}\)

Answer:

the age of the person that entered the room is 37

Step-by-step explanation:

\(m=\frac{sum of terms}{number of terms}\)

\(\frac{x}{6} =21\\\)

x=126

12+21+25+18+13=89

126-89=37

Answer:

Step-by-step explanation:

(12 + 21 + 25 + 18 + 13 + n) / 6 = 21

    (12 + 21 + 25 + 18 + 13 + n) = 126

                                             n = 126 - 12 - 21 - 25 - 18 - 13

                                             n = 37

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Answer:

$53

Step-by-step explanation:

Given that, two type of clothes nylon and wool carpet.

Let the price of one yard of nylon carpet = $\(x\)

Let the price of one yard of wool carpet = $\(y\)

Price for 16 yd of nylon carpet and 22 yd of wool carpet = $1902

Price for 20 yd of nylon carpet and 21 yd of wool carpet = $2033

Writing equations as per given statement:

\(16x+22y=1902 ...... (1)\\20x+21y=2033 ...... (2)\)

Here, we have to find the value of \(y\).

By equation (1), we get:

\(16x = 1902 - 22y \\\Rightarrow x = \dfrac{1}{16}(1902-22y) ..... (3)\)

Putting the value from equation (3) to equation (2):

\(20 (\dfrac{1}{16}(1902-22y) ) + 21y =2033\\\Rightarrow 9510-110y + 84y = 8132\\\Rightarrow 26y=1378\\\Rightarrow \bold{y = 53}\)

Therefore, the cost per yard for the wool carpet is $53.

Answer:

Answer is attached in images

Step-by-step explanation:

Given:

x+z=1 and

\(z=4-x^{2} -y^{2}\)

Now,

\(1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}\)

Which is circle with center (1/2,0) radius

\(\sqrt{13/2}\) take, \(x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi\)

Now,

Answer:

X=100

Step-by-step explanation

you gotta get to 180 so add that hunid

The value of x in the parallelogram described is: C. 100°

In a parallelogram, opposite angles are congruent, adjacent or consecutive angles are supplementary.

x degrees and 80 degrees are consecutive angles in the parallelogram described.

Therefore:

x + 80 = 180

x = 180 - 80

x = 100°

Therefore, the value of x in the parallelogram described is: C. 100°

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The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Answer:

                                 pop

                                             yes                   no             total

country            yes                  11                      38              49

                        no                       43                     8                51

                         total                54                     46               100

Hope you understand this haha

The answer is in the file. Hope it helps.

Answer:

y=2/3x-2

Step-by-step explanation:

The equation is y = mx + b and m is the slope. You were already given the slope and you were even given a point. All you have to do is graph the point and use the slope until it intercepts the y-axis.

1. Plot the point (9,-8)

2. Go up 2, left 3 spots until the line hits the y-axis (the vertical one)

3. That point is what b will be equal to in y = mx + b

OR you can convert a point-slope equation into slope intercept

1. The formula for point slope is y – y1 = m(x – x1)

2. Plug in the given numbers and it will look like this: y+8=2/3(x+8)

3. Do the math and get a solution of y=2/3x-2

The exact circumferences of the inscribed and circumscribed circles for the given polygons are 8π cm and 15π cm, respectively.

To find the exact circumference of a circle inscribed or circumscribed by a polygon, we can use the Pythagorean theorem to determine the diameter of the circle.

In the case of an inscribed polygon, the diameter of the circle is equal to the diagonal of the polygon. Let's consider the polygon with a diagonal of 8 cm. If we draw a line connecting two non-adjacent vertices of the polygon, we get a diagonal that represents the diameter of the inscribed circle.

Using the Pythagorean theorem, we can find the length of this diagonal. Let's assume the sides of the polygon are a and b. Then the diagonal can be found using the equation: diagonal^2 = a^2 + b^2. Substituting the given values, we have 8^2 = a^2 + b^2. Solving this equation, we find that a^2 + b^2 = 64.

For the circumscribed polygon with a diagonal of 15 cm, the diameter of the circle is equal to the longest side of the polygon. Let's assume the longest side of the polygon is c. Therefore, the diameter of the circumscribed circle is 15 cm.

Once we have determined the diameter of the circle, we can calculate its circumference using the formula C = πd, where C is the circumference and d is the diameter.

For the inscribed circle, the circumference would be C = π(8) = 8π cm.

For the circumscribed circle, the circumference would be C = π(15) = 15π cm.

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The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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The difference in temperature between Rome and Munich is given as follows:

6ºC.

The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.

The bar graph in the context of this problem gives the temperature for each town.

From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:

Hence the difference in temperature between Rome and Munich is given as follows:

11 - 5 = 6ºC.

The graph is given by the image presented at the end of the answer.

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The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

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Answer:

The area of the circle is 8cm^2

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

The area of the circle: pi times radius squared soo

radius 2cm divided by 2 equals 1 cm so pi times radius squared 3.14 × 1 squared so ur answer is 3.14