What is the measure of Angle y in this figure?


Two intersection lines. All four angles formed by the intersecting lines are labeled. Clockwise, the angles are labeled 163 degrees, z degrees, y degrees, and x degrees.


Tip: Angles that are across from each other (vertical angles) are congruent.


163°

27°

37°

180°

Answer:

$4.20 / 7 erasers = $0.60 per eraser

So each eraser in the package costs $0.60.

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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The expression that equals D + 3C in standard form is 2w² + 8w - 25.

To find an expression that equals D + 3C in standard form, we first need to simplify D and C.

Starting with D = 2w² - w - 7, we can rearrange the terms to put it in standard form:

D = 2w² - w - 7

D = 2w² - 2w + w - 7

D = 2w(w - 1) + (w - 7)

Next, simplifying C = 3w - 6:

C = 3w - 6

Now, we can substitute these expressions into D + 3C:

D + 3C = (2w² - w - 7) + 3(3w - 6)

Expanding and simplifying:

D + 3C = 2w² - w - 7 + 9w - 18

D + 3C = 2w² + 8w - 25

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Answer: the answer is your mom

Step-by-step explanation:

Answer:

Step-by-step explanation: 720 ways overall , First and Last set = 24 ways, Probability of First and Last happening =130

Answer:

Quadrilateral WXYZ is translated 10 units  to the left

Step-by-step explanation:

Translation of Shapes in the Plane

The translation is a type of rigid transformation where all the coordinates of the vertices that form the shape are shifted by the same number of units both vertically and horizontally.

The quadrilateral WXYZ has coordinates:

W(2,-3) X(7,-3) Y(6,-7) Z(1,-7)

The quadrilateral W'X'Y'Z' has coordinates:

W'(-8,-3) X'(-3,-3) Y'(-4,-7) Z'(-9,-7)

It can be noted that all the x-coordinates of the vertices are shifted by 10 units to the left.

Answer:

Quadrilateral WXYZ is translated 10 units  to the left.

Answer:

3q^2-13q+4

Step-by-step explanation:

Answer:

3q^2-13q+4

Step-by-step explanation:

q (3q-1)-4 (3q-1)

3q^2-q-12q+4

3q^2-13q+4

Answer:

NO

Step-by-step explanation:

No. The sample of only the 2 fastest swimmers on the swim team is not likely to be representative of the entire swim team. It may not include swimmers with different skill levels or performance abilities, which could lead to a biased representation of the team as a whole. To have a representative sample, it would be necessary to include a diverse range of swimmers from different skill levels and performance abilities.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

yes

Step-by-step explanation:

negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)

Answer:

Yes

Step-by-step explanation:

-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.

The type of variable being referred to is a reference variable, also known as a reference type.

In Java and other object-oriented programming languages, reference variables are used to store references to objects. Unlike primitive data types such as int or double, reference variables do not store values directly. Instead, they store the memory address of an object.

When a reference variable is passed into a method, the method receives a reference to the same object as the caller. Any changes made to the object within the method are saved, and the previous value of the object is overwritten outside the method. This is because the method operates on the same object as the caller, rather than a copy of the object.

It is important to understand the behavior of reference variables when passing them into methods, as this can have unintended consequences. For example, if the method modifies the object in a way that is not expected, the caller will also see the same change. To avoid this, it is sometimes necessary to create a new object within the method, rather than modifying the original object.

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Answer:

noncollinear

Step-by-step explanation:

my guess sorry if im wrong

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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The polygon has a 286 cm² surface area.

We divide an irregular form into its component common shapes before calculating its area. the aforementioned, the aforementioned, the aforementioned, the aforementioned, the aforementioned, the corresponding... For instance, if a square and a triangle make up an irregular polygon, the area of the polygon is equal to the sum of their areas.

We can split the polygon into two triangles and a trapezoid to determine its area.

Height of trapezoid = 15 cm - 2 = 13 cm

The area of the trapezoid is:

A_trapezoid = (7 cm + 18 cm)/2 * 13 cm = 169 cm²

The area of the two triangles is:

A_triangle1 = 1/2 * 7 cm * 13 cm = 45.5 cm²

A_triangle2 = 1/2 * 11 cm * 13 cm = 71.5 cm²

The total area of the polygon is calculated by adding the areas of the two triangles and the trapezoid:

A_polygon = A_triangle1 + A_triangle2 + A_trapezoid

= 45.5 cm² + 71.5 cm² + 169 cm²

= 286 cm²

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thy be c matey truth me ARG!!??

Answer:7$

Step-by-step explanation:$4+3$=7$

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

x = 7

Step-by-step explanation:

the 2 is doubled so the 3.5 has to be doubled as well

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

The ratio of the new volume to the old volume will be 3:1, the correct option is D.

We are given that;

The measurements= 9 cm*5 cm*3 cm

Now,

To find the volume of a rectangular prism, we can use the formula V = lwh, where l is the length, w is the width, and h is the height. Using the given dimensions, we get:

V = lwh V = 9 * 5 * 3 V = 135 cm^3

To find the new volume after tripling the width, we can use the same formula but replace w with 3w. We get:

V’ = l * 3w * h V’ = 9 * 3 * 5 * 3 V’ = 405 cm^3

To find the ratio of the new volume to the old volume, we can divide V’ by V and simplify. We get:

V’ / V = (405 cm^3) / (135 cm^3) V’ / V = 3

To write the ratio in the form of a fraction, we can use 1 as the denominator of V. We get:

V’ / V = 3 / 1

Using these steps, I found that the ratio of the new volume to the old volume will be 3:1.

Therefore, by the given rectangular prism the answer will be 3:1.

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tl;dr: Top question is A.) 1/24. Bottom question is B.) 1/8.

Hello!

For the question closest to the top, your answer is A.) 1/24.

You find this by taking the probability of rolling a 2 on a 6-sided die (1/6), and multiplying it by the probability of the spinner landing on C (1/4).

\(\frac{1}{6}\) × \(\frac{1}{4}\) = \(\frac{1}{24}\)

For the question at the bottom, your answer is B.) 1/8.

You find this by taking the probability of rolling an odd number on a 6-sided die (1/2) and multiplying it by the probability of the spinner landing on B (1/4).

\(\frac{1}{2}\) × \(\frac{1}{4}\) = \(\frac{1}{8}\)

Hope this was helpful. Have a great day!

Answer:

Q1) 1/10
Q2) 1/4

Step-by-step explanation:

Q1) There are 4 letters and 6 numbers which add up to 10 so it is out of 10. The chance that it would role on it is low and given the limited options we have to answer we have to estimate, therefore the best estimation to make would be that the answer is 1/10.

Q2) There are 4 letters and 6 numbers which add up to 10 so you would think it is out of 10 but due to the limited number of options we have to pick from "/10" isn't an option so we calculate how many odd numbers there are which is 3 and how many times B is shown which is once and 3 + 1 = 4 so that means it has to be out of 4 so due to the limited options we have we have to estimate it which gives us 1/4 as that's the only option there "/4".

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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This shows that any increase in x by a certain factor results in an increase in y by the same factor, confirming that y varies directly with x.

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

To determine if y varies directly with x, we need to check if there is a constant ratio between y and x. In other words, if we increase x by a certain factor, does y also increase by the same factor?

The equation 3y = -7x - 18 can be rewritten as y = (-7/3)x - 6. This is in the form of y = kx + b, where k is the constant of variation and represents the ratio between y and x.

Since the equation is in this form, we can say that y varies directly with x, and the constant of variation is k = -7/3.

To verify that y varies directly with x, we can check that any increase in x by a certain factor results in an increase in y by the same factor, as given by the constant of variation. For example, if we increase x by 3, then y will increase by (-7/3)(3) = -7. If we increase x by 6, then y will increase by (-7/3)(6) = -14.

Therefore, This shows that any increase in x by a certain factor results in an increase in y by the same factor, confirming that y varies directly with x.

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The value of x obtained using the inverse trigonometric ratios for tangent  is x ≈ 51.1°

The tangent of an angle, θ, tan(θ) in a right triangle is the ratio of the length of the side adjacent to the angle to the length of the side opposite to the angle.

Mathematically; tan(θ) = Opposite/Adjacent

The details in the question includes;

The shape of the figure = A right triangle

The length of the side adjacent to the angle, ON x = 7.5

Length of the side opposite to the angle, NM x = 9.3

The measure of the angle x° can be found using the trigonometric ratio for tangent as follows;

tan(x) = NM/ON

Therefore;

tan(x) = 9.3/7.5

x° = arctan(9.3/7.5) ≈ 51.1°

x ≈ 51.1°

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Answer:

91.8°

Step-by-step explanation:

180-88.2=91.8°

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Answer:

Step-by-step explanation:

Given principal p =$3500

Time t =1 year

Rate of interest r =2.3%

So annual interest=p×r×t/100

=3500×2×2.3/100

=7000×2.3/100

=16100/100

=161.

So annual interest is $161