HELP PLSS! I need help on all the questions down below

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

Learn more about alternate interior angles at

https://brainly.com/question/20344743

#SPJ1

The point that partitions segment AB in a 1:4 ratio is \(P = \left(-1, -\frac{2}{5}\right)$\).

To find the point that partitions segment AB in a 1:4 ratio, we can use the section formula.

Let P = (x, y) be the point that partitions segment AB in a 1:4 ratio, where AP:PB = 1:4. Then, we have:

\($\frac{AP}{AB} = \frac{1}{1+4} = \frac{1}{5}$$\)

and

\($\frac{PB}{AB} = \frac{4}{1+4} = \frac{4}{5}$$\)

Using the distance formula, we can find the lengths of AP, PB, and AB:

\(AP &= \sqrt{(x+3)^2 + (y-2)^2} \\PB &= \sqrt{(x-7)^2 + (y+10)^2} \\\ AB &= \sqrt{(7+3)^2 + (-10-2)^2} = \sqrt{244}\)

Substituting these into the section formula, we have:

\($\begin{aligned}x &= \frac{4\cdot(-3) + 1\cdot(7)}{1+4} = -1 \ y &= \frac{4\cdot2 + 1\cdot(-10)}{1+4} = -\frac{2}{5}\end{aligned}$$\)

Therefore, the point that partitions segment AB in a 1:4 ratio is \(P = \left(-1, -\frac{2}{5}\right)$\).

To know more about Segment visit;

brainly.com/question/30161863

#SPJ1

If she moves at a speed of 1.33 miles per minute while walking 4 miles in 3 minutes, she can cover 20 miles in 15 minutes.

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

In 3 minutes, she walk 4 miles,

speed=distance/time

=4/3 miles/minute

distance=speed*time

=4/3*15

=20 miles

She can walk 20 miles in 15 minutes if she walks 4 miles in 3 minutes with a speed of 1.33 miles/minute.

To know more about division,

https://brainly.com/question/28598725

#SPJ4

brittany would be 10 years old because

 if jazmine is 15 years older than alyssa than alyssa would be 20

and then alyssa is twice as old as brittany

so britany is 10 years old because 10x2=20

The parent function, f(x) = x, might undergo the following series of transformations to produce the graph: Reflect over the y-axis, vertical stretch by a factor of 2, and then shift up 6 units.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The converted function, when compared to the original function, will be obtained as y = -2x + 6 if we plot it on the coordinate plane.

The only method by which the provided graph may be converted to the coordinates specified in the problem is;

Reflect over the y-axis, multiply the vertical stretch by two, and then move up six units.

Thus, the parent function, f(x) = x, might undergo the following series of transformations to produce the graph: Reflect over the y-axis, vertical stretch by a factor of 2, and then shift up 6 units.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

Answer:

Question 7: 16n^8 Question 8: 6r^4 Question 4: (-1,-7) Question 6: 6y^7

Step-by-step explanation:

Do i need it?

Answer:

In ascending order:8,10,11,12,13,14,20

N=7

Step-by-step explanation:

Position of median=(N+1/2)th item

=(7+1/2)th item

(8/2)th item

4th item

=:4th item =12

So,12is median quiz score.

Hope this helpful for you.

answer is here :)

please check :)

∛

Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

Answer:

-8b+36 is the answer.

Step-by-step explanation:

=8(-b+4)

Opening brackets to simplify

=8✖️(-b)+8✖️4

=-8b+36 is the answer.

Hope this will help you :)

Answer:

thats correct

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

-3 + 5x = 42

add 3 to both sides

5x=45

divide both sides by 5

x=9

Answer:

x=9

Step-by-step explanation:

The formula to compute the sample size is: n = ((z² * σ²)/E²)Where n is the sample size, σ is the standard deviation, E is the margin of error and z is the z-score corresponding to the level of confidence required.

We're given a population standard deviation, σ = 80.We're also given the margin of error, E = 7.The level of confidence required is 95%.

The corresponding z-score for this confidence level can be found using a standard normal distribution table. For a 95% confidence level, the z-score is 1.96.

Substituting these values into the formula:n = ((1.96² * 80²)/7²) = 1386.45 ≈ 1387

Therefore, a sample size of 1387 should be selected to provide a 95% confidence interval with a margin of error of 7. The answer is 1387.

#SPJ11

Thus, the sample size should be 1539. Therefore, the final answer is n = 1539.The margin of error, standard deviation and confidence interval are important statistical measures.

The confidence interval represents the range of values within which the population parameter is likely to lie. The margin of error is the measure of the accuracy of the sample estimate in relation to the population parameter. It is expressed as a range of values above and below the sample estimate. Finally, the standard deviation is the measure of the spread of the data values around the mean.To find the sample size (n) that provides a 95% confidence interval with a margin of error of 7, we use the formula:Margin of error = z * (standard deviation / sqrt(n)) where z is the z-score for the desired confidence interval (in this case, 95% corresponds to a z-score of 1.96), and n is the sample size.To solve for n, we rearrange the formula:n = (z^2 * standard deviation^2) / margin of error^2 Substituting the given values, we get:n = (1.96^2 * 80^2) / 7^2= 1538.77 Since we need a whole number sample size, we round up to the nearest whole number.

To know more about sample size,visit:

https://brainly.com/question/31734526

#SPJ11

Answer:

10kg-30g

10×1000g - 30g

(10000 - 30) g

9970g

if it helps don't forget to like and Mark me

a. The ring homomorphism from Z[x] to Z[x]/(x) maps a polynomial f(x) to its residue class modulo x.

b. The ring homomorphism from Z[x] to Z[x]/(x + 1) maps a polynomial f(x) to its residue class modulo (x + 1).

a. To define a ring homomorphism from Z[x] to Z[x]/I, where I = xZ[x], we can define the map as follows:

Let phi: Z[x] -> Z[x]/I be the ring homomorphism.

For any polynomial f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 in Z[x], we map it to its residue class in Z[x]/I.

phi(f(x)) = f(x) + I

So, phi(f(x)) is the residue class of f(x) modulo I.

b. To define a ring homomorphism from Z[x] to Z[x]/I, where I = (x + 1)Z[x], we can define the map as follows:

Let phi: Z[x] -> Z[x]/I be the ring homomorphism.

For any polynomial f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0 in Z[x], we map it to its residue class in Z[x]/I.

phi(f(x)) = f(x) + I

So, phi(f(x)) is the residue class of f(x) modulo I, where the coefficients of f(x) are taken modulo (x + 1).

Learn more about ring homomorphism

brainly.com/question/19865639

#SPJ11

Corollary 5.3 states that if f(x) and g(x) are two functions in C[-π, π] and {φn(x)} is an orthonormal set,

Then:

∫[-π,π] f(x)g(x) dx = ∑n=1^∞ a_n b_n,

where

a_n = ∫[-π,π] f(x) φn(x) dx

b_n = ∫[-π,π] g(x) φn(x) dx.

In this problem, we have:

f(x) = 3 cos x + 2 sin x

g(x) = cos x - sin x

φ1(x) = cos x

φ2(x) = sin x

Since {cos x, sin x} is an orthonormal set, we have:

∫[-π,π] cos x cos x dx = ∫[-π,π] sin x sin x dx = ∫[-π,π] cos x sin x dx = 0

∫[-π,π] cos x cos x dx = ∫[-π,π] sin x sin x dx = π

Using the formula for a_n and b_n, we have:

a1 = ∫[-π,π] f(x) cos x dx = 3∫[-π,π] cos^2 x dx + 2∫[-π,π] cos x sin x dx = 3π

a2 = ∫[-π,π] f(x) sin x dx = 2∫[-π,π] sin^2 x dx + 3∫[-π,π] cos x sin x dx = 0

b1 = ∫[-π,π] g(x) cos x dx = ∫[-π,π] cos^2 x dx - ∫[-π,π] cos x sin x dx = π/2

b2 = ∫[-π,π] g(x) sin x dx = -∫[-π,π] sin x cos x dx + ∫[-π,π] sin^2 x dx = -π/2

Therefore,

∫[-π,π] f(x) g(x) dx = a1 b1 + a2 b2 = 3π/2 - π/2 = π.

Hence, ∫[-π,π] f(x) g(x) dx = π.

Learn more about orthonormal here:

https://brainly.com/question/31992754\

#SPJ11

Answer:

A. x+20=60

Step-by-step explanation:

Start with what you know: Alex has $68 and that is $20 more than Michael. Think, what number is 20 less than 68? The number is 48. You can plug 48 in for x in each answer choice or you can derive the answer by creating your own equation. Make x=how much Michael has. Since Alex has $20 more dollars, Michael has 20 fewer dollars than Alex. so x=68-20. The only answer choice that is equal to that is A.

Answer:

x+20=68

Step-by-step explanation:

Answer:

do i solve for y or x

Step-by-step explanation:

Answer:

The answer is y = 2x + 3 This is the right answer

Answer:

True

Step-by-step explanation:

The SSS congruence states the triangles are congruent if the corresponding parts of the triangle are congruent.

Hence, this statement is true.

The probability that at least 5 will do their homework on time in a class of 50 students is 0.1

Probability

Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.

the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06.

Each student does homework independently.

In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time.

Probability = event occur/ total number of outcomes

                  = 5/50= 1/10=0.1

Thus the probability becomes 0.1

To learn more about the Homework visit:

https://brainly.com/question/24422678

#SPJ4

Answer: y = (1/3)*x - 5

Step-by-step explanation: Hope this helps!

The given sequence is:

7, 28, 112, 448...........

From the sequence above:

The first value, a = 7

The common ratio, r = 28/7 = 112/28 = 448/112

r = 4

Since there is a common ratio of r = 4, the sequence is a geometric sequence that has the formula:

The shape of the base; A

Here, we want to identify the difference between total surface area and lateral surface area

The difference is that for the lateral area, we consider the sides, excluding the base

But, for thw total surface area, we consider the sides including the base

So the answer is the area of the base that is nt considered

Hence, the surface area of the square pyramid is 207 square centimeters.

In mathematics, area refers to the measurement of the size of a two-dimensional surface or region. It is a measure of the amount of space inside a flat figure, such as a square, circle, or triangle. The area of a figure is usually expressed in square units, such as square centimeters, square meters, or square inches.

Here,

To find the surface area of a square pyramid with a base side length of 9 centimeters and a slant height of 7 centimeters, we need to add up the area of the base and the areas of the four triangular faces. The area of the base is simply the area of a square with side length 9 cm, which is:

Area of base = 9² = 81 cm²

Each triangular face has a base of 9 cm (since the base of the pyramid is a square with side length 9 cm) and a height of 7 cm (since the slant height is the height of each triangular face). The area of each triangular face is:

Area of triangular face = 1/2 × base × height = 1/2 × 9 × 7 = 31.5 cm²

There are four triangular faces, so the total area of the triangular faces is:

Total area of triangular faces = 4 × Area of triangular face = 4 × 31.5 = 126 cm²

Therefore, the surface area of the square pyramid is:

Surface area = Area of base + Total area of triangular faces = 81 + 126 = 207 cm²

To know more about area,

https://brainly.com/question/13194650

#SPJ1

Answer:   0.483

Step-by-step explanation: add a zero and a point to the right f it

The student is factoring a trinomial using the 1-Grouping (AC-Method) technique. The completed steps are as follows:

20x^2−15x−18

= 20x^2+15x−18 (rearranging the terms)

= 5x(4x+3)−6(4x+3) (grouping the terms)

= (4x+3)(5x−6) (factoring out the common binomial)

Explanation: To factor the trinomial using the 1-Grouping (AC-Method), the student needs to follow the steps correctly. Here's a breakdown of the completed steps:

1. Start with the trinomial 20x^2−15x−18.

2. Rearrange the terms to obtain 20x^2+15x−18.

3. Identify the terms that have a common factor, which in this case is 5x. Factor out 5x from the first two terms: 5x(4x+3).

4. Identify the terms that have a common factor, which is 6. Factor out 6 from the last two terms: −6(4x+3).

5. Now, the common binomial factor (4x+3) can be factored out, resulting in the final factored form: (4x+3)(5x−6).

By following these steps, the student successfully factored the trinomial using the 1-Grouping (AC-Method).

Learn more about probability here

brainly.com/question/13604758

#SPJ11