Find the size of the final unknown interior angle in a polygon whose other interior angles are:
Find the size of the final unknown interior angle in a polygon whose other interior angles are:

162°, 110°, 125°, 138°, 105° and 98°

Answer:

Slope(m)=2x

y-intercept(b)=3

Step-by-step explanation:

Answer:

Slope is -2x, Y-Intercept is 3

Step-by-step explanation:

You need to isolate the "y" to get the answer, all you need to do is subtract the "2x" from both sides

Answer:

$29.12

Step-by-step explanation:

x - .25x = 25.95

.75x = 25.95   Divide both sides by .75

x = 34.60

the original cost of the sweater was $34.60

34.60 x .8  If you take off 20%, you are leaving on 80%

$29.12  This is the purchase price of 20% off of the original cost.

Answer:1.6

Step-by-step explanation:

25/5=5

8/5=1.6

Answer:

Step-by-step explanation:

if 5miles = 25 minutes

then, 8 miles = X

hence X minutes

\(x = \frac{25minutes}{5miles} \times 8miles\)

Answer:

Writing numbers on it makes comparing numbers easier. Numbers on the left are smaller than the numbers on the right of it. A number line can also be used to carry out addition and subtraction. We move right to add, move left to subtract.

*A vertical number line is called a number ladder. Number lines are typically introduced in kindergarten and are used frequently throughout elementary and middle school to help build skills like counting, adding, and subtracting numbers.

*a vertical line goes straight from top to bottom and bottom to top in a coordinate plane.

The estimated monthly payment for Brian's home loan would $1413.52.

To calculate the best estimate of the monthly payment for Brian's home loan, we can use the formula for calculating a fixed-rate mortgage payment.

The formula for the monthly payment of a fixed-rate mortgage is:

M = P * (r * (1+r)^n) / ((1+r)^n - 1),

where M is the monthly payment, P is the principal amount (loan amount minus down payment), r is the monthly interest rate, and n is the number of monthly payments.

In this case, Brian's principal amount is $220,000 - $22,000 = $198,000 (loan amount minus down payment). The monthly interest rate is 3.5% / 12 = 0.0029 (converted from annual interest rate to monthly rate), and the number of monthly payments is 180.

Plugging in these values into the formula, we get:

M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1).

M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1)

M = $1413.52

Evaluating this expression gives us the best estimate of the monthly payment. However, the calculation involves complex mathematical operations, and it is recommended to use a financial calculator or spreadsheet software to obtain an accurate estimate.

Note: It's important to consult with a financial advisor or a mortgage professional to get precise and personalized information about mortgage terms, interest rates, and monthly payments based on individual circumstances and loan options available.

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Answer:

.01

Step-by-step explanation:

160/1000= .16

150/1000= .15

so the difference is .01

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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The given expression is,

Let the unknown number be x, Let us divide each term by -4, we get,

On cross mutiplying, we get,

Thus, the required number is -0.6.

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.

What is a right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that, in △BCD

BD = 24 m

DC = 10 m

BC = 26 m

△BCD is a right angle triangle.

The trigonometry ratio of sine is ratio of height to hypothenuse.

With respect to C, the height of △BCD is 24m and hypothenuse is 26m.

sin C = height/hypothenuse

sin C = 24/26

C = 67.38°

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The following: (a) λ² + (1/4) = 0. (b)  λ = ±√(-1/4). (c)\(e^{j\frac{\pi}{4n}} \quad \text{and} \quad e^{-j\frac{\pi}{4n}}\). (d) Homogeneous response:\(y_h[n] = C_1 \times e^{\frac{j\pi}{4n}} + C_2 \times e^{-\frac{j\pi}{4n}}\), (e) \(x[n] = (1/2)^n \times u[n]\) as the input, (f) input x[n] (g) \(y[n] = y_h[n] + y_p[n].\)

(a) The characteristic polynomial is obtained by assuming a solution of the form \(y[n] = y_h[n] + y_p[n].\) and substituting it into the difference equation.

(b) To find the characteristic roots, we solve the characteristic polynomial for λ. The roots will be complex conjugates with a negative real part, as indicated by the presence of the square root of a negative number.

(c) The characteristic modes arise from the complex roots and are of the form e^(jωn) and e^(-jωn), where ω is the angle of the roots in polar form.

(d) The homogeneous response is the general solution to the difference equation with the initial conditions set to zero, and it contains the characteristic modes.

(e) The impulse response is found by setting the initial conditions y[-1] and y[-2] to zero and solving the difference equation with x[n] = (1/2)ⁿ × u[n] as the input.

(f) The particular response is the solution to the difference equation with the given input x[n], which can be found using appropriate methods like undetermined coefficients or convolution.

(g) The total response is the sum of the homogeneous and particular responses, which gives the complete output of the system for the given input and initial conditions.

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The sampling method used in this scenario is a) Random sampling. The teacher selects the new lunch line leader using a random number program on her computer, which implies that each kindergarten student has an equal chance of being chosen for the role.

In the given situation, each kindergarten student is assigned a number based on a seating chart. The teacher then uses a random number program on her computer to select the new lunch line leader. By using a random number program, the selection process is unbiased and ensures that each student has an equal opportunity to be chosen for the role. This randomness helps minimize potential biases and allows for a representative sample of the kindergarten students to be considered for the lunch line leader position.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .

so this question seems like we have to take union of ways of palying on monday or wednesday

let n(m) be number of ways of playing on monday

n(w) be number of ways of playing on wednesday

we have to find n(m∪w)

n(mUw) = n(m) +n (w) - n(m∩ w)

so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.

n(m) = \(4_C__2\)  = 6

similary n(m) = n(w) = 6

now  n(m∩w) = \(3_C__1\) as now we have  2 fixed day and we have 3 day remaining and only one day to play.

n(m∩w) = \(3_C__1\) =3

now n(mUw) = n(m) +n (w) - n(m∩ w)

=> 6 + 6 -3

=> 12 - 3

so n(mUw) = 9

so we have 9 schedules to paly keeping condition given in the question.

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The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

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Answer:

x = 47.5

Step-by-step explanation:

5 times 5 = 25

9 times 5 = 45

45 divided by 2 = 22.5

25 + 22.5 = x

x = 47.5

Answer:

10.7 in.

Step-by-step explanation:

perimeter = base1 + base2 + side1 + side2

side1 = side2 = side

side1 + side2 = 2 * side

25.9 in. = 1.7 in. + 2.8 in. + 2 * side

2 * side = 21.4 in.

side = 10.7 in.

answer =

y = kx ⇒

k = y/x = 5/7

Answer:

4

Step-by-step explanation:

8x + 15 = 5.5x +25

so 2.5x =10

x=4

Answer:

618.4

Step-by-step explanation:

Based on the given conditions, formulate: 773 x (1 - 20%)

Calculate the sum or difference: 773 × 0.8

Calculate the product or quotient: 618.4

Answer: 618.4

The required solution  of the given expression is  12.247.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

\(\frac{150}{\sqrt{150} } \\\)

Simply or simplification is reducing the expression/fraction/problem in a simpler form. A fraction is in simplest form if the top and bottom have no common factors other than 1.

The process of making something less complicated and therefore easier to do or understand, or the thing that results from this process.

According to given question we have

\(\frac{150}{\sqrt{150} } \\\)

We know that the square root of 150 is  12.247.

By putting the value we have

150/12.247

= 12.247.

Therefore, the required solution  of the given expression is  12.247.

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Jill can pay a maximum of $192 for a bedspread.

Jill wants to mark up the price of the bedspread by 30%, so she needs to pay at least 250 / 1.3 = $192 for it. If she pays more than $192, she will not be able to make a 30% profit.

Jill wants to mark up the price of the bedspread by 30%. This means that she wants to sell it for 1.3 times the price she pays for it.

The maximum price that customers are willing to pay is $250.

If Jill pays more than $192 for the bedspread, she will not be able to sell it for $250 and make a 30% profit.

Therefore, the most that Jill can pay for the bedspread is $192.

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Jill can pay a maximum of $192 for a bedspread.

Jill wants to mark up the price of the bedspread by 30%, so she needs to pay at least 250 / 1.3 = $192 for it. If she pays more than $192, she will not be able to make a 30% profit.

Jill wants to mark up the price of the bedspread by 30%. This means that she wants to sell it for 1.3 times the price she pays for it.

The maximum price that customers are willing to pay is $250.

If Jill pays more than $192 for the bedspread, she will not be able to sell it for $250 and make a 30% profit.

Therefore, the most that Jill can pay for the bedspread is $192.

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Answer:

\(m\angle JKM = 162^\circ\)

Step-by-step explanation:

Angle Bisector

An angle bisector is a ray that divides an angle into two congruent angles, each having a measure exactly half of the original angle.

We are given ray KR bisects angle JKM.

This means angle JKM is divided into two congruent angles JKR and RKM. We know:

\(m\angle JKR = 81^\circ\)

Thus, the measure of angle JKM is twice the measure of JKR. Therefore:

\(m\angle JKM = 2*81^\circ= 162^\circ\)

\(\mathbf{m\angle JKM = 162^\circ}\)

Answer:

Opposite of 7= -7

Step-by-step explanation:

The difference between the two given temperature values is 24 °F

We have got an equation that can relate these three units of measurement of temperature, as given below:

c/5 = (F - 32)/9= (K - 273)/5

where C represents the measurement of a fixed temperature in celsius, F represents the measurement of that same intensity temperature in fahrenheit, and K represents the measurement of equally intense temperature in kelvin.

The given parameter the lowest temperature = -3 °F

the highest temperature = 21 °F

To determine the difference between the two given temperature values.

The range or difference between the two given temperature values is calculated as follows;

Range = highest - lowest

Range = 21 °F -(-3 °F)

Range = 24 °F

Thus, the difference between the two given temperature values will be 24 °F

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The correct equation to show the cost of meat per pound at Sam's Grocery Store is x = 2y, where x is the cost of meat per pound at Sam's Grocery Store and y is the cost of meat per pound at Lane Grocery Store.

This equation represents the fact that the cost of meat per pound at Sam's Grocery Store is twice the cost of meat per pound at Lane Grocery Store.

For example, if the cost of meat per pound at Lane Grocery Store is $5, then the cost of meat per pound at Sam's Grocery Store would be 2 * $5 = $10.

So, the equation x = 2y accurately shows the relationship between the cost of meat per pound at Sam's Grocery Store and the cost of meat per pound at Lane Grocery Store.

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The perimeter of the rectangle is 10/7 units, which is equivalent to 1(3/7) units.

what is a triangle?

A triangle is a three-sided polygon with three angles. It is one of the simplest and most basic shapes in geometry, and is characterized by its three straight sides and three angles that add up to 180 degrees.

The perimeter of a rectangle can be calculated by adding the lengths of all four sides. In this case, we can use the formula 2(l + w) where l is the length and w is the width of the rectangle.

Substituting the given values, we get:

2(2/7 + 3/7) = 2(5/7) = 10/7

Therefore, the perimeter of the rectangle is 10/7 units, which is equivalent to 1(3/7) units.

So the answer is (C) 1(3/7).

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