Find the measure of the angle indicated in bold.
14)
А) 120
C) 115°
B) 100P
D) 140°

Answer:

Therefore, the length of the ladder is 13 feet.

Step-by-step explanation:

This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:

ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13

Therefore, the length of the ladder is 13 feet.

brainliest PLssssss

Answer:

2

Step-by-step explanation:

i am not sur but 12 5 = 2?

Hello! We can prove this with some statements, look:

• Notice that CD is parallel to AB;

• angle 1 ≅ angle 2

• M is the midpoint of AB;

Statement 1:

Reasoning 1:

As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.

definition of midpoint

Statement 2:

Reasoning 2:

As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:

angle C:

90º + angle 1

angle D:

90º + angle 2

so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.

Statement 3:

Reasoning 3:

The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:

m1 + A + C = m2 + B + D = 180º

remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.

According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.

Table:

Answer:

Step-by-step explanation:

\(3xy-3x-2y+2\\(y-1)(3x-2)\\Check\\(y-1)(3x-2)\\Simplify\ and\ we\ get\ our\ question\\(y)(3x)+(y)(-2)+(-1)(3x)+(-1)(-2)\\3xy-2y-3x+2\)

珠ɪᴢᴜᴍɪᴿᴬᴳᴱ

For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

Learn more about matrix here

brainly.com/question/29132693

#SPJ4

The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

To know more about prime factorization click here:

brainly.com/question/29763746

#SPJ4

The probability that more than 3 of the entry forms will include an order is approximately 0.9896 or 98.96%.

This is a binomial distribution problem, where:

n = 18 (number of trials)

p = 0.3 (probability of success, i.e., an order being placed)

q = 1 - p = 0.7 (probability of failure, i.e., no order being placed)

We want to find the probability of more than 3 successes, which can be written as:

P(X > 3) = 1 - P(X ≤ 3)

To calculate this, we need to use the binomial cumulative distribution function or a binomial probability table. Alternatively, we can use the complement rule:

P(X > 3) = 1 - P(X ≤ 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]

Using the binomial probability formula, we can calculate each of these probabilities:

P(X = k) = (n choose k) * \(p^k * q^{(n-k)\)

where (n choose k) = n! / (k! * (n-k)!) is the binomial coefficient.

P(X = 0) = (18 choose 0) * \(0.3^0 * 0.7^1^8\) = 0.000005

P(X = 1) = (18 choose 1) * \(0.3^1 * 0.7^1^7\) = 0.00016

P(X = 2) = (18 choose 2) *\(0.3^2 * 0.7^1^6\)= 0.0017

P(X = 3) = (18 choose 3) *\(0.3^3 * 0.7^1^5\) = 0.0086

Therefore

P(X > 3) = 1 - [0.000005 + 0.00016 + 0.0017 + 0.0086] ≈ 0.9896

So the probability that more than 3 of the entry forms will include an order is approximately 0.9896 or 98.96%.

Know more about probability    here:

https://brainly.com/question/13604758

#SPJ11

There are 4,826,640 possible ways to award first, second, and third prizes in a contest with 170 contestants.

To calculate this, use the formula nP3, where n is the number of contestants (170) and P3 represents the permutation of 3 elements. This can be simplified to P(170, 3) = 170! / (170 - 3)! = 170 x 169 x 168 = 4,826,640.

Learn more about permutation

brainly.com/question/30649574

#SPJ11

(D) the floor of a classroom is a perfect example of a line segment.

Therefore, (D) the floor of a classroom is a perfect example of a line segment.

Know more about line segments here:

https://brainly.com/question/2437195

#SPJ4

The correct form of the question is given below;
Which is an example of a line segment?

(A) the edge of a book

(B) the corner of a box

(C) a beam of light

(D) the floor of a classroom

The troop leader can use the two variables of preference (hiking or swimming) as the row and column headings of the table.

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

The troop leader can utilize the two variable categories (hiking or swimming) as the table's row and column headings.

The number of members who prefer each activity can be recorded in the cells of the table to show the distribution of preferences within each troop and the comparison between the two troops.

Learn about the linear relationship here :

https://brainly.com/question/11663530

#SPJ1

Answer: 56 deg

Step-by-step explanation:

66-x=x+46

2x=20

x=10

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Answer:

pleasee reply me ...

you looking very gorgeous...

also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

This sampling method aims to ensure that the sample is representative of the population with respect to the different communication devices used.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

It is describing a sampling method for a population that is divided into different strata based on their communication devices (landline phone, cell phone only, and no phone). The method specifies that the sample should be selected proportionately from each stratum, with a certain percentage of the sample coming from each group.

For example, the text states that 90% of the sample should come from the group with listed landlines. This means that, out of a sample size of 1500, 15% (which is 0.15 times 1500 = 225) of the individuals should be chosen from that group.

Similarly, the text specifies that 9% of the population has a cell phone only, so 12% of the sample (which is 0.12 times 1500 = 180 individuals) should be chosen from that group. And 1% of the population has no phone, so 1% of the sample (which is 0.01 times 1500 = 15 individuals) should be selected from that group.

Therefore,  this sampling method aims to ensure that the sample is representative of the population with respect to the different communication devices used, by selecting individuals from each stratum proportionately to the population.

To learn more about Algebraic expression from given link.

https://brainly.com/question/953809

#SPJ1

Answer:

125

Step-by-step explanation:

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125  Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

The value of y is 125 when x is 1.

Write the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125

Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

Learn more about inverse of a function here

https://brainly.com/question/3831584

#SPJ4

Answer: points for us answerers then. Just close the tab if you don't want to be on this website.

Answer:

The unit rate is 2.20. For a single pound of cat food it would cost $2.20

Answer:

A. 150 N + e

Step-by-step explanation:

Im smart pls mark brainliest.

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

#SPJ1

Answer:

To solve the equation 3+2(4+2x)+1=20-2(2-x), we can follow these steps:Simplify the terms inside the parentheses on both sides of the equation:

3 + 8 + 4x + 1 = 20 - 4 + 2xCombine like terms on both sides of the equation:

12 + 4x = 16 + 2xSubtract 2x from both sides of the equation:

2x = 4Divide both sides of the equation by 2:

x = 2Therefore, the solution to the equation 3+2(4+2x)+1=20-2(2-x) is x = 2.

Step-by-step explanation:

Answer:

x =2

Step-by-step explanation:

3+2(4+2x)+1=20-2(2-×)

3 + 8 + 4x + 1 = 20 - 4 - 2(-x)

12 + 4x = 16 + 2x

4x - 2x = 16 - 12

2x = 4

x = 2

Answer:

B.

at most 199 miles

Step-by-step explanation:

To find how many miles Emily drove, we need to use the equation

Total cost = flat fee + miles driven * cost per mile

Substituting in the numbers

121 ≥ 21.50 + m * .5

121≥ 21.50 +.50m

Subtract 21.50 from each side.

99.50 ≥ .5m

Divide each side by .5

199 ≥m

Emily drove less than or equal to 199 miles

The exact value of cos I in simplest radical form is 5 /√29

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The exact value of cos I in simplest radical form can be found by using trigonometric ratios.

cos I = adjacent / hypotenuse

The opposite is where the angle I is facing. That is opposite = 2

The hypotenuse is where the right angle is facing. That is hypotenuse = √29

The adjacent is the side left after picking opposite and hypotenuse. That is adjacent = 5

cos I = 5 /√29

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

19 - 4c = 17

-4c = 17 - 19

or, c = -2/-4

or, c = 1/2

c = 1/2

The sample size is less than 30, we cannot conclude that the sampling distribution of the sample mean is exactly normally distributed for n = 42.

To determine if the sampling distribution of the sample mean with sample sizes n = 17 and n = 42 is normally distributed, we need to check if the sample sizes are large enough for the Central Limit Theorem (CLT) to apply.

The Central Limit Theorem states that for a random sample with a sufficiently large sample size (typically n ≥ 30), the sampling distribution of the sample mean will be approximately normally distributed regardless of the shape of the population distribution.

For n = 17:

The standard error of the sample mean, denoted as SE, is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n):

SE = σ / √n

SE = 5.8 / √17 ≈ 1.408

Since the sample size is less than 30, we cannot conclude that the sampling distribution of the sample mean is exactly normally distributed for n = 17.

For n = 42:

SE = 5.8 / √42 ≈ 0.893

In both cases, with sample sizes n = 17 and n = 42, the sample sizes are not large enough for the Central Limit Theorem to guarantee that the sampling distribution of the sample mean will be exactly normally distributed. However, for practical purposes, the sampling distributions can still be approximately normally distributed if the sample sizes are reasonably large and the population distribution is not heavily skewed or has extreme outliers.

To know more about distribution:

https://brainly.com/question/29664127

#SPJ11

there are no values of a, b, c, and d that make the given matrix skew-symmetric.

To determine the values of a, b, c, and d that make the given matrix skew-symmetric, we need to compare it with its transpose and set up the necessary equations.

The given matrix is:

[d    2a - c    2a + 2b]

[a      0           3 - 6d]

[a + 4b   0           c]

To find the transpose of the matrix, we interchange the rows with columns:

[d     a    a + 4b]

[2a - c   0       0]

[2a + 2b  3 - 6d  c]

Now we compare the original matrix with its transpose and set up the equations:

d = -d           (equation 1)

2a - c = a      (equation 2)

2a + 2b = a + 4b   (equation 3)

a + 4b = 0     (equation 4)

3 - 6d = 0    (equation 5)

c = -c           (equation 6)

From equation 1, we have d = 0.

Substituting d = 0 in equation 5, we have 3 = 0, which is not possible.

Hence, the solution is a = 3, b = 3/2, c = 3, and d = 0 is incorrect.

To know more about matrix visit:

brainly.com/question/28180105

#SPJ11

Answer:

Step-by-step explanation:

ISSA PARADE INSIDE MY CITY YEAHHHHH