1. Find the equation of a line passing through the points (1,-2) and (-3,10).​

The information is not enough to prove that triangles DEF and OPQ are congruent through SAS, as we need two equal side lengths and one angle measure.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The parameters given for this problem are given as follows:

As we are given only one side, instead of the two sides needed, we have that the information given is not enough to prove that the two triangles are congruent by the SAS congruence theorem.

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Answer:

150 Square feet

Step-by-step explanation:

15 feet long

10 feet wide

Area = length x width

15 x 10 = 150

150 Square feet

Hope this helped!

Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).

This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.

The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).

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--The given question is incomplete, the complete question is given

"  According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--

Answer:

48km hr this is the answer in your question.

Answer:

3694.5 Is the volume of the cylinder.

Step-by-step explanation:

The formula used to find the volume is V=πr2h In this equation

R=14 (radius)  H=6(height)

π=Pie(3.14)

The final answer in scientific notation is 4 × 10⁰.

Firstly writing both dividend and divisor in scientific notation.

Dividend = 32 × 10⁻²²

Divisor = 8 × 10⁻²²

Now  performing division to find the quotient.

Quotient = Dividend ÷ Divisor

Quotient = 32 × 10⁻²² ÷ 8 × 10⁻²²

As per the known rule of exponents, aˣ ÷ aⁿ = aˣ⁻ⁿ

Quotient = (32 ÷ 8) × 10⁻²² ⁻ ⁽⁻²²⁾

Dividing the base numbers

Quotient = 4 × 10⁻²²⁺²²

Performing subtraction on exponents

Quotient = 4 × 10⁰

Also, as per the known fact, a⁰ = 1. So, the final answer is 4 and in scientific notation the final answer is 4 × 10⁰.

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Attached is the pedigree. I found this exercise on the Internet.

The probability that both john and sue are carriers is:

The missing characters are: II-5, II-6, II-8, III-10, III-11, III-12, III-13.

Individual II-5 will have half black/half white squares. It's a square because it shows in the book that John's grandmother (I-2) fell ill.

Half black/half white transmits an allele that requires the disease allele because his mother has the disease, and his father does not carry or show the disease, so from him, John's father (II-5) only got one. normal allele.

The person will ask II-6 questions in a circle. A circle because John's mother once father is Example II-5. Since she has a daughter (John's Sister) with the disease, it means that John's sister inherited both alleles for the disease.

The Personal II-8 will have a half-black/half-white circle.

Circle because Sue's mother and father Probability Example II-7 (square). Half black/half white transmits an allele that requires the disease allele because her father has the disease, and her mother does not carry or show the disease, meaning she is from her, Sue's mother (II-8). take an old allele.

The person will ask the III-10 questions in a circle. The circle is because she is John's sister mentioned in the text. The question mark is that we can't be sure if this is an allele.

We know from the records that he has no symptoms of the disease, but if his mother is infected with only one allele, he may have inherited an allele from his father or mother, or he will inherit the disease allele. The disease allele comes from the mother, not from the father if the mother has the disease.

John, There will be questions in the People III-11 box. Square because John is a man. The question mark is that we can't be sure if this is an allele. We know from the literature that he has no symptoms of the disease, but if his mother is a carrier of only one of the disease alleles, he may have inherited the disease allele from his father. disease allele. If her mother has a disease, it is not from her father, but from her mother.

SU will have questions in the Humans III-12 circle. Circle it because she's Sue, the woman. The question mark is that we can't be sure if this is an allele. From the instructions, we learn that he has no symptoms of the disease, but that he may have inherited the disease allele from his mother, and that after his mother has the disease allele, he too can be a carrier or transmit the disease to others. The disease allele has inherited the normal allele from its mother. He inherited only one normal allele from his father.

III-13 individuals will have questions in the square. A square because according to the guide, he is Su's brother. The question mark is that we can't be sure if this is a disease allele. We know from the records that she did not show any signs of the disease, but she probably inherited the disease allele from her mother, and when her mother has the disease allele, she will also be a carrier or inherited. original allele from its mother. He inherited only one normal allele from his father.

Complete Question:

John and sue are expecting a child, but are concerned about a rare autosomal recessive disease that is present in both of their families. in the pedigree below, john is represented as individual iii-11 and sue is represented as individual iii-12. john\'s sister, iii-10, and sue\'s brother, iii-13, both do not show evidence of the disease, but john\'s paternal grandmother and sue\'s maternal grandfather both had the disease. assign the appropriate symbol to each individual in the pedigree. what is the probability that john is a carrier? probability: 66.7 % what is the probability that both john and sue are carriers?

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Find the surface area of a Cuboid of length, breadth, and height equal to 12 cm, 8 cm and 5 cm respectively.

\( \bullet \) Length (l) of a Cuboid is 12 cm.

\( \bullet \) Breadth (b) of a Cuboid is 8 cm.

\( \bullet \) Height (h) of a Cuboid is 5 cm.

The surface area of a Cuboid.

We know,

Formula of surface area of a Cuboid is 2(lb + bh + lh) sq units.

So, Surface area of a Cuboid = 2(12×8 + 8×5 + 12×5) sq cm.

= 2(96 + 40 + 60) sq cm.

= 2 × 196

= 392 sq cm

James started with 78 rocks, as he gave away 46 rocks and had 32 rocks left.

The problem states that James gave away 13 rocks to Bill, 18 rocks to Lill, and 15 rocks to Mark. Therefore, the total number of rocks he gave away is the sum of these three amounts

13 + 18 + 15 = 46

This means that James had 46 fewer rocks after giving them away. The problem also states that he had 32 rocks left after giving some away. We can use this information to figure out how many rocks he started with by adding the number of rocks he had left to the number he gave away

46 + 32 = 78

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Answer:

5/8

Step-by-step explanation:

please mark brainliest

Answer:

15 pieces :)

Step-by-step explanation: 30 percent of 50 is 15

Answer:

35 pieces of candy.

Step-by-step explanation:

30 percent of 50 is 15. 50 minus 15 is 35.

Answer:

2

Step-by-step explanation:

Given, cosx+cos

2

x=1

⇒cosx=1−cos

2

x

⇒cosx=sin

2

x

Squaring both sides we get

⇒cos

2

x=sin

4

x .....(1)

⇒sin

4

x−cos

2

x=0

Adding both side 1, we get

⇒sin

4

x+1−cos

2

x=1

∴sin

2

x+sin

4

x=1 Proved.

Answer:

ummmmmmmmmm I can try c:

Answer:

YES MAM , WHAT SEEMS TO BE THE PROBLEM < BECAUSE I DONT SEE ONE

Step-by-step explanation:

Answer:

32°, 58°

Step-by-step explanation:

Let one acute angle measure x.

The other acute angle measures 2x - 6.

The sum of the measures of the acute angles of a right triangle is 90.

x + 2x - 6 = 90

3x - 6 = 90

3x = 96

x = 32

2x - 6 = 2(32) - 6 = 58

Answer: 32°, 58°

Simple CVP analysis can be relied on for changes in volume outside the relevant range. It is false.

For volume changes outside the appropriate range, a straightforward CVP analysis can be trusted. False. To account for activity levels outside of the required range, the CVP model needs to be modified.

Only when expenses are stable within a given production level is CVP analysis trustworthy. In the CVP analysis, it is expected that every unit produced would be sold, and every fixed cost must be stable. Another supposition is that changes in activity levels always result in changes in expenses.

The similar behavior of costs within the appropriate range is one of the presumptions of CVP analysis.

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

Train B is going faster than Train A

Step-by-step explanation:

The distance travelled by Train A, d = 80t

The distance travelled by Train B is given as follows;

Time (hours)  \({}\)                     Distance (km)

2                   \({}\)                         190

4                   \({}\)                         380

5                   \({}\)                         475

Therefore, we have that the rate of change of Train B is given as follows;

(475 - 380)/(5 - 4) = 95 km/h

(475 - 190)/(5 - 2) = 95 km/h

The rate of change of Train B = 95 km/h

While the distance covered by Train A per 1 hour, t = 1 is given as follows

Distance covered in 1 hour for Train A, d = 80 ×  1 = 80 kilometers

The rate of train A = Distance covered/(Time in which the distance was covered)

The rate of train of change A = 80 km/(1 hour) = 80 km/hour

The rate of train of change A = 80 km/h

Therefore, Train B is going faster than Train A.

The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.

The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.

In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.

Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.

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Step-by-step explanation:

The answer here is option C.

===========================================

Explanation:

Point P is the center of dilation. So it does not move for any dilation applied as long as its stays as the center of course.

The scale factor 4/3 = 1.33 approx means that point A's distance from P will be scaled 1.33 times larger. In other words

(A'P)/(AP) = 4/3 = 1.33

Points B' and C' are also further away than their counterparts, with relation to the center point P.

All of this means the image triangle A'B'C' is larger compared to its preimage triangle ABC.

What results is what you see in diagram C

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

Side notes:

The tent occupies 640 cubic feet of space.

Volume is a measurement of the amount of three-dimensional space occupied by an object or substance. It is the measure of the amount of space that an object or substance occupies in three dimensions, typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet.

For example, the volume of a cube can be calculated by multiplying its length by its width by its height (or side cubed):

V = l x w x h = \(s^3\),

where V is the volume, l is the length, w is the width, h is the height, and s is the length of a side.

Volume is an important measurement in fields such as physics, engineering, architecture, and chemistry, where it is used to calculate quantities such as the amount of fluid that can be held by a container, the amount of material needed to construct a building, or the amount of a substance that can react with another substance in a chemical reaction.

The volume of the tent can be found by calculating the volume of the square pyramid and then adding the volume of the rectangular box formed by the tent's base.

The base of the tent is an 8-ft by 8-ft square, so its area is 8 x 8 = 64 square feet. The height of the pyramid is 3 ft, so its volume is:

V(pyramid) = (1/3) x base area x height

V(pyramid) = (1/3) x 64 x 3

V(pyramid) = 64 cubic feet

The rectangular box formed by the tent's base has dimensions of 8 ft by 8 ft by 9 ft, so its volume is:

V(box) = length x width x height

V(box) = 8 x 8 x 9

V(box) = 576 cubic feet

Therefore, the total volume of space the tent occupies is:

V(total) = V(pyramid) + V(box)

V(total) = 64 + 576

V(total) = 640 cubic feet

So the tent occupies 640 cubic feet of space.

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The image of point R(-11, 1) under the given transformation is R'' = (3, 9).

Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes using the Cartesian coordinate system.

To find the image of point R under the given transformation, we can use the following steps:

Apply the translation that centers the trapezoid at (-13, -5) by subtracting (-13) from the x-coordinates and subtracting (-5) from the y-coordinates of all the vertices:

R' = (-11 - (-13), 1 - (-5)) = (2, 6)

Apply the scaling with factor k = 3/2 by multiplying the x and y coordinates by 3/2:

R'' = (3/2 * 2, 3/2 * 6) = (3, 9)

Hence, the image of point R(-11, 1) under the given transformation is R'' = (3, 9).

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Answer:

A

Step-by-step explanation:

cuz all the other options sum up to 180 except A it sum up to 181

and the sum of angle in triangle is equal to 180°

Answer:a

Step-by-step explanation:

To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

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The system of inequalities has no solution because the lines do not meet at any point

The system of inequalities is given as

y ≥ x² + 3

y < x + 1

From the above system of inequalities, we can see that the function types are

Next, we plot the graph of both inequalities in the system (see attachment for the graph)

From the graph, we can see that the lines and the curves of the functions do not intersect

This means that the system has no solution

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Here are ur answer.......

Answer:

(-7, 14)

Step-by-step explanation:

The function f(x) is equal to the y-coordinate. The value inside of the parenthesis is the x-coordinate, so it would be -7 in this problem.