Give triangle abc is congruent to triangle def find x

Answer:

a = 37°

b = 34°

c = 143°

Step-by-step explanation:

Hello!

The measure of Angle A is 37°, because 37° and Angle A are vertical angles, meaning they are equal in measure.

Vertical Angles are the non-adjacent angles formed by the intersection of two lines, and are equal in measure.

The measure of Angle C is 143°, found by subtracting 37° from 180°, the total number of degrees on a line.

The measure of Angle B is 34°, found by subtracting 109° and 37° from 180°. Angle B is inside a triangle, and the sum of angles in a triangle is 180°. The other two angles are 109° and 37° (Angle A), so the measure of Angle B should be 34°.

Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

a university student is selecting courses for his next semester. he can choose from humanities courses and science courses. the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

To determine the number of ways a university student can choose courses for the next semester with a requirement of at least "r" humanities courses, we can use combinatorial techniques.

Let's assume there are "n" total courses available, "h" of which are humanities courses, and "s" of which are science courses.

The student needs to select "r" or more humanities courses. We can calculate the number of ways to choose "r" or more humanities courses by summing the combinations for "r" to "h" humanities courses.

The formula to calculate the number of ways to choose "k" items from a set of "n" items is given by the combination formula: C(n, k) = n! / (k! * (n - k)!)

Using this formula, the calculation for the number of ways to choose "r" or more humanities courses can be expressed as:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

Now, let's substitute the values and calculate the number of ways:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

In conclusion, the number of ways the university student can choose courses, with a requirement of at least "r" humanities courses, is obtained by summing the combinations for "r" to "h" humanities courses using the combination formula.

the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

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Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.

A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.

Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.

A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).

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Answer:  d) 6   e) 10     g) 900

Step-by-step explanation:

d) \(\sqrt{9610} = 98.0306\)

98² = 9604

9610 - 9604 = 6

e) \(\sqrt{2906}=53.9073\)

54² = 2916

2916 - 2906 = 10

g)              10            12          15

                 ∧             ∧            ∧

               2·5         2·2·3       3·5

The Perfect square is: 2² · 5² · 3² = 30²

30² = 900

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

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Answer:

see explanation

Step-by-step explanation:

used formulla: s=d/t

or St =d

or t=d/s.

speed(s) = 10km/hr =2.78m/s

distance(d) = 4 km = 4000m

time(t) = ?

we have,

t= d/s

t = 4000/2.78

t = 1438 s

1438 s =23.96 min = 0.39 hrs

:- ananth finished at 5 hrs 23 min.

hope this will help u..

Answer:

b.diameter

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The solution is at the points of intersections of the graphs

The graphs intersect at (- 3, 0 ) and (2, 5 )  , then

solutions are (- 3, 0 ) and (2, 5 )

Answer:

85

Step-by-step explanation:

when you have a number and a variable together (10x) it means multiplication.

so if you replace the x with 8, it turns into 10 × 8 which equals 80. Then, you add 5 to it and get 85.

(i'm not the best at explaining but i tried)

Answer:

The final price would be $26.95

Step-by-step explanation:

Answer:

The final price of the sweater is $26.95

Step-by-step explanation:

30% of 38.50 is 11.55

38.50-11.55

26.95

Hope that helps

The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer:

16.1

Step-by-step explanation:

37.03/2.3 = 16.1

Answer:

\(\boxed{\bold{\huge{\boxed{16.1}}}}\)

Step-by-step explanation:

Let the first number be x and the second number be y

So, the condition is:

\(x * y = 37.03\)

Given that x = 2.3

\(2.3 * y = 37.03\)

Dividing both sides by 2.3

\(y = \frac{37.03}{2.3}\)

\(y = 16.1\)

Answer:

11 points

Step-by-step explanation:

Claire had 11 points  because 18-7=11

C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

Two or more expressions with an Equal sign is called as Equation.

Given that Ava scored 18 points in a basketball game.

Let Ave score be represented as A.

Ave scored seven points more than Claire.

Let C be the Claire score.

A=7+C

As given Ava scored 18 points in a basketball

so the value of A is 18

18=7+C

Now let us find the value of C

Subtract 7 from both sides

18-7 =C

11=C

Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

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Using the concept of Unit Cost, $5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

The unit price is  measurement used to represent the price of a particular good or service to be exchanged with the customers or consumers for money. The unit price refers to the price/unit of measures, such as price per pound, quart, ounce, or other units of weight or volume of the food package.

The unit price is important for both of customers and organizations. An organization cannot sustain without unit price itself for a long period by selling products at a lower price. Similarly, customers would not be able to buy the product if the value of the product is less than the price. The researcher suggests that the unit price information helps shoppers to save around 17-18% in supermarkets when they are educated on how to actually use it.

We are given Carrot cost of per pound is $0.99.

Therefore Carrot cost for 3.5 pounds=3.5×0.99= $3.465

Similarly, Broccoli cost of per pound is $1.50.

Therefore, broccoli cost for 1.25 pounds =1.25×1.50=1.875

Total bill = Broccoli cost+ Carrot cost

Total bill =3.465+1.875=$5.34

Hence,$5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

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The slope of the line which is perpendicular to the given line is (-6/5).

Describe the negative reciprocal.

The negative reciprocal of a number, let's say "n," is "- (1/n).

We are aware of a line's equation in slope intercept form, y = mx + b, as well as the fact that perpendicular lines have slopes that are reciprocal to each other's negative values.

The slope intercept form of the line 15x - 18y = -486 can be expressed as,

-18y = -15x - 486.

- y = (-15/18)x - (486/18).

- y = (-5/6)x - 27.

y = (5/6)x + 27.

The slope of the supplied line is (5/6), making the perpendicular line's slope (-6/5).

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The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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To radix sort the given list of integers in base 10, we can perform multiple passes of counting sort based on the digits from right to left. Here's the step-by-step process:

First sort:

Original list: 483 525 582 143 645 522

Counting sort based on the least significant digit (unit place):

143 522 483 582 645 525

Second sort:

Original list: 143 522 483 582 645 525

Counting sort based on the tens place:

143 522 525 582 645 483

Third sort:

Original list: 143 522 525 582 645 483

Counting sort based on the hundreds place:

143 483 522 525 582 645

The final sorted list is: 143 483 522 525 582 645

The time complexity of Quick sort depends on the partitioning scheme and the initial ordering of the elements. In the worst case scenario, when the array is already sorted or contains equal elements, Quick sort has a time complexity of O(n^2). This is because in each recursive call, the pivot chosen will always be the smallest or largest element, resulting in uneven partitioning.

In the given array A = {12, 8, 7, 4, 2, 6, 11}, making a call to Partition(A, 1, 7) means partitioning the array from the first element to the seventh element. The resulting sequence of numbers in A after the partition operation will depend on the chosen pivot. Since the pivot index is not specified, it is not possible to determine the exact resulting sequence without knowing the pivot selection mechanism.

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To determine which of the given sets is a subspace of ℝ³, check if they satisfy the 3 properties of a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

In summary, the only set that is a subspace of ℝ³ is W = {(a, b, 1): a and b are real numbers}.

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Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).

The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.

Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.

A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .

After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.

Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.

Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

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The answer to your question is a. True.

Correlation is a statistical technique used to measure the relationship between two variables, consisting of the independent variable, x, and the dependent variable, y. The correlation coefficient is a value that indicates the strength and direction of the relationship between the two variables. A correlation can be positive, indicating a direct relationship between the two variables, or negative, indicating an inverse relationship. The value of the correlation coefficient ranges from -1 to 1, with values closer to -1 or 1 indicating a stronger correlation. Correlation is often depicted graphically as a scatter plot, which shows the ordered pairs of data points. In summary, correlation is a useful tool for understanding the relationship between two variables and can be used to make predictions and inform decision-making.

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Answer:

Step-by-step explanation:

4). Surface area of front and back = 2(lengh × height)

                                                        = 2(7×3)

                                                        = 63 cm²

    Surface area of top and bottom = 2(length × width)

                                                          = 2(8×7)

                                                          = 112 cm²

     Surface area of left and right = 2(width × height)

                                                      = 2(8×3)

                                                      = 48 cm²

      Total surface area = 63 + 112 + 48

                                      = 223 cm²

5). Surface area of top and bottom = 2πr²

                                                          = 2π(4)²

                                                          = 32π

                                                          = 100.53 cm²

    Surface area of middle = h(π × d)

                                            = 4(π × 8)

                                            = 32π

                                            = 100.53 cm²

     Total surface area = 32π + 32π

                                     = 64π

                                     = 201.06 cm²

6). Surface area of front and back = \(2[\frac{1}{2}(\text{Base})(\text{Height)}]\)

                                                        = Base × Height

                                                        = 6 × 8

                                                        = 48 cm²

     Surface area of bottom = 6 × 11

                                             = 66 cm²

     Surface area of the left = 8 × 11

                                             = 88 cm²

     Surface area of right = 10 × 11

                                        = 110 cm²

      Total surface area = 48 + 66 + 88 + 110

                                      = 312 cm²  

The median charge is $51. The median of a data set is also called the middle value.

Median is the value of the middle point in a data set. Here is how to find the median.

A sample of the paramedical fees:  $55, $49, $50, $45, $52, and $55. Find the median!

The number of the data is 6.

Let's sort the data form the smallest!

$45, $49, $50, $52, $55, $55

The middle part of the data is $50 and $52. The median is

($50 + $52)/2 = $102/2 = $51

Hence, the median of the data is $51.

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The simplified expression is 1.5 / 0.134, which can be further simplified to approximately 11.19.

To simplify the expression (cos(-60) - tan135) / (tan315 - cos660), we can break it down into two steps.

Step 1: Calculate the values inside the expression.

cos(-60) is equal to cos(60), which is 0.5.

tan135 is equal to -1, as tangent is negative in the second quadrant.

tan315 is equal to 1, as tangent is positive in the fourth quadrant.

cos660 is equal to cos(660-360) which is cos(300), and cos(300) is equal to 0.866.

Step 2: Substitute the calculated values into the expression.

The numerator becomes (0.5 - (-1)) = (0.5 + 1) = 1.5.

The denominator becomes (1 - 0.866) = 0.134.

Therefore, the simplified expression is 1.5 / 0.134, which can be further simplified to approximately 11.19.

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Answer:

T₂ = 421.4 K

Step-by-step explanation:

The temperature, T, of a given mass of gas varies inversely with its Volume,V.

\(T\propto \dfrac{1}{V}\\\\V_1T_1=V_2T_2\)

We have,

V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K

V₂ = 70 cm₃

We need to find the new temperature of the gas. Using the above relation to find T₂.

\(T_2=\dfrac{V_1T_1}{V_2}\\\\T_2=\dfrac{98\times 301}{70}\\\\T_2=421.4\ K\)

Hence, the required temperature of the gas is 421.4 K.

The households in Culver City that are dog owners with fenced-in backyards are 432.

Given the information provided in the question, there are 6 out of every 10 households that own a dog also have a fenced-in backyard. This can be expressed as a fraction - 6/10.

In order to determine the number of dog owners with fenced-in backyards, multiply 6/10 by the total number of households.

6/10 x 720 = 432 households

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Answer:

12+y+x+x+x+12+y+x = 24+2y+4x; which is A

Step-by-step explanation: