Can someone answer this question?

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

Answer:

The remainder is always smaller than the divisor.

For example, if we divide 12 by 5, we get 2 with a remainder of 2. The remainder is 2, which is smaller than the divisor, which is 5.

This is because the remainder is the part of the dividend that is not divisible by the divisor. In this case, 12 is not divisible by 5, so the remainder is 2.

The remainder can also be zero if the dividend is divisible by the divisor. For example, if we divide 10 by 5, we get 2 with a remainder of 0. This is because 10 is divisible by 5, so the remainder is 0.

In general, the remainder is always smaller than the divisor.

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

For such more questions on missing coordinates:

https://brainly.com/question/27481419

#SPJ11

Answer: 4.5 km>150 cm

Step-by-step explanation:

I think you meant km, because kilograms are not compatible with cm, unless it's kg/m to g/cm.

Kilometers are units of measurement, and so are centimeters, so It'd be accurate only then.

The expression represents the subtraction of two Complex numbers, resulting in a new complex number with a real part of 10 and an imaginary part of -3i.

The expression (4 + 1i) - (-6 + 4i),the subtraction of complex numbers by distributing the negative sign across the terms in the parentheses.

(4 + 1i) - (-6 + 4i) can be rewritten as:

4 + 1i + 6 - 4i

Next, we can combine like terms by adding the real parts (the numbers without the "i" term) and the imaginary parts (the numbers multiplied by "i") separately.

For the real parts, we have 4 + 6 = 10.

For the imaginary parts, we have 1i - 4i = -3i.

Therefore, the expression (4 + 1i) - (-6 + 4i) simplifies to:

10 - 3i

So the result of the expression is 10 - 3i.

It is important to note that "i" represents the imaginary unit, which is defined as the square root of -1. In complex numbers, the real part represents the real number component, and the imaginary part represents the multiple of the imaginary unit.

the expression represents the subtraction of two complex numbers, resulting in a new complex number with a real part of 10 and an imaginary part of -3i.

To know more about  Complex numbers.

https://brainly.com/question/29747482

#SPJ11

On the 10th day, Jennifer and Elena will have the same number of tickets left to sell.

We have,

To determine the day when Jennifer and Elena will have the same number of tickets left to sell, we can set up an equation to represent the situation.

Let's assume x represents the number of days that have passed since they started selling tickets.

For Jennifer, the number of tickets she has left to sell after x days can be represented as:

Tickets left for Jennifer = 50 - 2x

For Elena, the number of tickets she has left to sell after x days can be represented as:

Tickets left for Elena = 70 - 4x

To find the day when they have the same number of tickets left to sell, we set the two equations equal to each other and solve for x:

50 - 2x = 70 - 4x

Simplifying the equation:

2x - 4x = 70 - 50

-2x = 20

x = -10

Since we can't have a negative number of days, it means that they will have the same number of tickets left to sell after 10 days.

Therefore,

On the 10th day, Jennifer and Elena will have the same number of tickets left to sell.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

every 24x^3y^2 seconds

Step-by-step explanation:

To determine how often both gears will be in their starting positions at the same time, we need to find a common multiple of the two revolution times.

The first gear completes one revolution every 8x^2y seconds, and the second gear completes one revolution every 6x^3y^2 seconds.

To find a common multiple, we need to factorize the revolution times:

8x^2y = (2^3)(x^2)(y)

6x^3y^2 = (2)(3)(x^3)(y^2)

The common multiple should include all the prime factors with their highest powers. Therefore, the common multiple would be:

(2^3)(3)(x^3)(y^2) = 24x^3y^2 seconds.

So, both gears will be in their starting positions at the same time every 24x^3y^2 seconds.

The sum of the first 43 terms of the sequence given below is -7611.

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The formula for it is:

[tex]\text{a}_\text{n}=\text{a}+\text{D}(\text{n}-1)[/tex]

Given Sequence:

It represent an A.P. with

So, sum of 43 terms.

[tex]\text{S}_\text{n}=\frac{\text{n}}{2}[2\text{a}+(\text{n}-1)\text{d}][/tex]

[tex]\text{S}_{43}=\frac{43}{2}\times[2\times(-282)+(43-1)5][/tex]

[tex]\text{S}_{43}=\frac{43}{2}\times[-564+210][/tex]

[tex]\text{S}_{43}=\frac{43}{2}\times[-354][/tex]

[tex]\text{S}_{43}={43}\times[-177][/tex]

[tex]\text{S}_{43}=\bold{-7611}[/tex]

Hence, the sum of the first 43 terms of the sequence given below is

-7611.

Learn more about arithmetic sequence at:

https://brainly.com/question/15456604

Answer:

622m²

Step-by-step explanation:

a right rectangular prism will have 6 sides and the parallel sides of the prism will be the same size

so we work out the given surface areas and multiply each by 2

7 x 11 = 77

times 2 is 154

11 x 13 = 143

times 2 is 286

7 x 13 = 91

times 2 is 182

then we add it all up

154 + 286 + 182 = 622m²

Answer:

(a) 4

Step-by-step explanation:

Let's start with the equation:

8x-4y

Since we already have the values of x and y, we can solve out equation.

8(2)-4(3)

16-12=4

The answer is (a)4

Answer:

Let's use "P" to represent the regular price of the table.

If the table is on sale for 68% off, then the sale price is 100% - 68% = 32% of the regular price.

We know that the sale price is $147.20, so we can write:

0.32P = $147.20

To find P, we need to divide both sides of the equation by 0.32:

P = $147.20 / 0.32

P = $460.00

Step-by-step explanation:

Answer:

$460 is the correct answer.

The most appropriate measure to describe the center is the Median, and the most appropriate measure to describe the variation is the range.

The most appropriate measure to describe the center of the data in the dot plot is the median. The median represents the middle value when the data is arranged in ascending or descending order. In this case, the median is the value that divides the data into two equal halves. As there are 13 values in total, the median will be the seventh value, which corresponds to the value with two dots above it, which is 32 dollars. Therefore, the median accurately represents the center of the data in this case.

The most appropriate measure to describe the variation of the data in the dot plot is the range. The range represents the difference between the maximum and minimum values in a dataset. In this case, the minimum value is 28 dollars (one dot above it) and the maximum value is 38 dollars (one dot above it). Therefore, the range is 38 - 28 = 10 dollars, which indicates the spread or variation of the data.

Hence, the most appropriate measure to describe the center is the median, and the most appropriate measure to describe the variation is the range.

To know more about Median.

https://brainly.com/question/16408033

#SPJ11

The circumference of the circle is 18.84.

We have,

Radius = 3

Now,

The circumference of a circle.

= 2πr

Substituting r and π = 3.14.

= 2 x 3.14 x 3

= 18.84

Thus,

The circumference of the circle is 18.84.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ1

From x = 0 to x = 2, the area of the region between the curves [tex]y = e^{-0.3x[/tex] and y = 2.2x + 1 is roughly 2.496 square units.

To determine the area, the intersection points of two curves must be identified, and the difference between the curves must be integrated over the provided time interval.

Finding the points of intersection by setting the two equations equal to each other:

[tex]e^{-0.3x[/tex] = 2.2x + 1

After graphing the two equations, we find that they intersect at approximately (0.380, 1.836) and (1.847, 5.080).

We can now find the area by integrating the difference between the curves across the given range [0, 2].

To get the area between two curves, use the following formula:

Area = ∫(upper curve - lower curve) dx

Area = ∫(2.2x + 1 -  [tex]e^{-0.3x[/tex] ) dx

Solving,

Area ≈ 2.496

Hence the area between the curves y = [tex]e^{-0.3x[/tex] and y = 2.2x + 1 from x = 0 to x = 2 is approximately 2.496 square units.

Learn more about area between curves click;

https://brainly.com/question/30395524

#SPJ1

To answer the original question, if Baez has 10 hits in 32 at-bats, he would have a total of 10 hits.

To answer this question, we first need to figure out how many at-bats Baez has had over the last seven games.

Since he hits 31.25% of the time he is at bat, we can assume that he has had 100/31.25 = 3.2 at-bats per hit. Therefore, he has had 32 at-bats over the last seven games (10 hits x 3.2 at-bats per hit).

Now that we know Baez has had 32 at-bats, we can calculate his batting average by dividing the number of hits he has (10) by the number of at-bats (32). This gives us a batting average of 0.3125, or 31.25%.

To learn more about : hits

https://brainly.com/question/31020281

#SPJ11

To make informed decisions about budget allocation and cost management, the director should consider this relationship between the number of procedures and unit cost.

The director of surgery at a local hospital aims to understand the unit's costs by analyzing data from the past 36 months, including unit cost (labor, supplies, etc.) and the number of procedures performed.

The assistant used a spreadsheet program to analyze this data and obtained an R2 value of 0.253.

This indicates that 25.3% of the variation in unit cost can be explained by the number of procedures performed. The unit plans to perform an average of 17,000 procedures per month in the upcoming year.

To learn more about : cost

https://brainly.com/question/2292799

#SPJ11

The volume of the composite figure is 228 ft³.

To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.

From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.

First prism:

Length = 8 ft, Width = 4 ft, Height = 6 ft

Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³

Second prism:

Length = 3 ft, Width = 2 ft, Height = 6 ft

Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³

Now, let's add the volumes of both prisms:

192 ft³ + 36 ft³ = 228 ft³

Therefore, the volume of the composite figure is 228 ft³.

for similar questions on volume.

https://brainly.com/question/463363

#SPJ8

What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft

Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³ ​

The total cost of the item 23, 732.48 dollars.

The item was negotiated at a price of $21,980 with 7.6 percent sales tax

and a $82 registration fee.

Therefore, let's find the total cost of the item.

Hence,

The sales tax is a consumption tax on the sale of goods and services. Therefore,

sales tax = 7.6 % of 21980

sales tax = 7.6 / 100 × 21980

sales tax = 167048 / 100

sales tax = 1670.48 dollars

Therefore,

total cost of items = 21980 + 1670.48 + 82

total cost of items = 23, 732.48 dollars

learn more sales tax here: https://brainly.com/question/11761115

#SPJ1

Answer:

C. dilation with a scale factor of 3

Step-by-step explanation:

If triangle RST is congruent to triangle WXY by the Angle-Side-Angle Theorem, then a **dilation with a scale factor of 3** would not map triangle RST to triangle WXY. Congruent triangles have the same shape and size, meaning that their corresponding sides and angles are equal. A dilation changes the size of a figure but not its shape, so it would not preserve congruence between the two triangles.

Answer:

In an isosceles triangle, the sides opposite the equal angles are equal in length. Let's solve the given problem using the given information.

a) To find PQ, we need to find the length of the equal sides. Since QX = XR = 2.64 cm, we know that PQ = PR. Therefore, PQ = PR = 2.64 cm.

b) To find PX, we can use the concept of the Law of Cosines. In an isosceles triangle, the base angles are equal, so the angle at P is 65°, and the opposite side is PX.

Using the Law of Cosines formula:

c² = a² + b² - 2ab * cos(C)

Where c is the side opposite angle C, and a and b are the other two sides.

In our case, we have:

a = PQ = 2.64 cm

b = PR = 2.64 cm

C = 65°

We want to find PX, so c = PX.

Substituting the values into the formula:

PX² = (2.64)² + (2.64)² - 2(2.64)(2.64) * cos(65°)

PX² ≈ 6.9696 + 6.9696 - 2(2.64)(2.64) * 0.42262

PX² ≈ 13.9392 - 2(2.64)(2.64) * 0.42262

PX² ≈ 13.9392 - 2(2.64)(2.64) * 0.42262

PX² ≈ 13.9392 - 11.1197

PX² ≈ 2.8195

Taking the square root of both sides, we get:

PX ≈ √2.8195

PX ≈ 1.678 cm

Therefore, a) PQ = PR = 2.64 cm, and b) PX ≈ 1.678 cm.

Step-by-step explanation:

The Surface Area of Prism is 17.6 ft².

We have,

Sides of triangle = 2 ft, 1 ft and 2.2 ft.

and, l = 3 ft, b = 1 ft and h= 2 ft

So, Surface Area of Prism

= (2 + 1 + 2.2)3 + 2 x 1

= 5.2 x 3 + 2

= 17.6 ft²

Thus, Surface Area of Prism is 17.6 ft².

Learn more about Surface Area here:

https://brainly.com/question/29298005

#SPJ1

Answer: 25

Step-by-step explanation:

bc

The interquartile range of this data set is equal to 4.

In Mathematics and Statistics, IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.

Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):

Interquartile range (IQR) of data set = Q₃ - Q₁

Interquartile range (IQR) of data set = 6 - 2

Interquartile range (IQR) of data set = 4.

Read more on interquartile range (IQR) here: brainly.com/question/17658705

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

49.87% is the probability that a worker selected at random makes between 400 dollars and 550 dollars.

To find the probability that a worker selected at random makes between $400 and $550, we can use the properties of the normal distribution.

Given that the weekly wages are normally distributed with a mean (μ) of $400 and a standard deviation (σ) of $50, we can use these parameters to standardize the values and then find the corresponding probabilities.

To standardize the values, we use the z-score formula:

z = (x - μ) / σ

where x is the value we want to find the probability for.

For $400:

z1 = (400 - 400) / 50 = 0

For $550:

z2 = (550 - 400) / 50 = 3

Now, we can use the standard normal distribution table or a calculator to find the probabilities associated with these z-scores.

The probability of a worker making less than or equal to $400 is the same as the probability of z1 or less, which is P(z ≤ 0). From the standard normal distribution table, we find that P(z ≤ 0) is approximately 0.5.

The probability of a worker making less than or equal to $550 is the same as the probability of z2 or less, which is P(z ≤ 3). From the standard normal distribution table, we find that P(z ≤ 3) is approximately 0.9987.

Therefore, the probability that a worker selected at random makes between $400 and $550 is the difference between these two probabilities:

P(400 ≤ x ≤ 550) = P(z ≤ 3) - P(z ≤ 0) ≈ 0.9987 - 0.5 ≈ 0.4987

So, the probability is approximately 0.4987 or 49.87%.

Using the z-score, we transformed the values into a standard normal distribution, looked up the probabilities associated with the z-scores from a standard normal distribution table, and found the difference in probabilities to determine the probability of the worker's wage falling between $400 and $550.

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

Answer: the answer is h=7.32in

(a) the function which has the graph with greatest slope is function 3.

(b) The function which has the graph with a y intercept closest to 0 is function 2.

(c) The functions which have graphs with y intercepts greater than 4 is function 4.

Given are 4 functions.

For function 1, consider two points (1, -3) and (0, -4).

Slope = (-4 - -3) / (0 - 1) = 1

For function 2, consider two points (1, -6) and (0, -1).

Slope = (-1 - -6) / (0 - 1) = -5

For function 3,

Slope = 4

For function 4,

Slope = -3

Greatest slope is for function 3.

y intercept is the point where the graph touches the Y axis. x coordinate will be 0 at that point.

For function 1,

y intercept = -4

For function 2,

y intercept = -1

For function 3,

y intercept = 3

For function 4,

y intercept = 5

The graph which has y intercept closest to 0 is function 2.

The functions which have graphs with y intercepts greater than 4 is function 4.

Learn more about Slope and y intercepts here :

https://brainly.com/question/30216543

#SPJ1

The sale price is $5.44 while the discount is $0.96

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

The list price of a goods is $6.40 and the discount rate is 15%, hence:

Discount = 15% of list price = 0.15 * $6.40 = $0.96

Sale price = List price - Discount = $6.40 - $0.96 = $5.44

The sale price is $5.44

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1

Answer:  A 265100

Step-by-step explanation:

Given:

t=5 years

Formula:

V= 220000(1.038)⁵           >plug into the calc: 220000 * 1.038^5

V= 265100

Answer is A. 265100

Answer:

a)  $265,100

Step-by-step explanation:

Given equation:

[tex]\boxed{V=220000(1.038)^x}[/tex]

where:

The Lee family bought their home for $220,000 this year.

To find the value of the Lee family's home in 5 years, substitute x = 5 into the given equation and solve for V:

[tex]\begin{aligned}x=5 \implies V&=220000(1.038)^5\\&=220000(1.20499922...)\\&=265099.829...\\&=\$265,100\;\sf(nearest\;dollar)\end{aligned}[/tex]

Therefore, the value of the Lee's family home in 5 years is $265,100 to the nearest dollar.