BRAINLIEST & 15 POINTS

In the triangle, suppose that m∠L = (6x-3)°, m∠M=(2x-6)°, and m∠N =x°.

(a) Write an equation to find x. Make sure you use an "=" sign in your answer.
Equation = _

(b) Find the degree measure of each angle.
m∠L = _°
m∠M = _°
m∠N = _°

The cost of the utility pole is approximately $593.96.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is usually measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³). The volume of an object can be found by measuring its length, width, and height and using a formula that relates these dimensions to the amount of space the object occupies. In geometry, the most common shapes for which volume is calculated include cubes, spheres, cylinders, pyramids, and cones.

The volume of a right cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

In this case, the diameter of the utility pole is 1.5 ft, so the radius is 0.75 ft. The height is 45 ft. Therefore, the volume of the utility pole is:

V = π(0.75 ft)²(45 ft) = 23.3826... cubic feet

Rounding to the nearest hundredth, we get:

V ≈ 23.38 cubic feet

The cost of wood per cubic foot is $25.37. Therefore, the cost of the utility pole is:

$25.37/cubic foot × 23.38 cubic feet ≈ $593.96

So the cost of the utility pole is approximately $593.96.

Learn more about volume

https://brainly.com/question/6204273

#SPJ1

From the given figure, the measure of angle OXZ is 10°.

Given that, XY and ZY are tangents to a circle with center O.

Tangent and radius of a circle meet at 90°. If we draw a radius that meets the circumference at the same point, the angle between the radius and the tangent will always be exactly 90°.

Here, angle formed at the center is

∠ZOX = 180° - ∠XYZ

∠ZOX = 180° - 20°

∠ZOX = 160°

ZO = XO = radius

Now, ΔZOX is an isosceles triangle

So, ∠ZOX +∠OXZ+∠OZX = 180°

⇒ 160° + 2∠OXZ = 180°

⇒ 2∠OXZ = 20°

⇒ ∠OXZ = 10°

Therefore, from the given figure, the measure of angle OXZ is 10°.

To learn more about the tangents to a circle visit:

https://brainly.com/question/23265136.

#SPJ1

Answer:

0.345

Step-by-step explanation:

impretty sure thats right. but if im wrong im really sorry <333

Answer:

1) (-3,-3)

2) 5

Step-by-step explanation:

Number of ways the head coach, assistant coach and the team manager can be chosen from the group of 18 people is equal to 4896.

As given in the question,

Total number of people in a group is equal to 18

Number of people to be selected is equal to 3

Head coach , Assistant coach , and the team manager

Here order matters.

Number of ways to select three people from a group of 18 people is given by permutation ,

¹⁸P₃

= ( 18 ) ! / ( 18 - 3 )!

= 18! / !5!

= ( 18 × 17 × 16 × 15! ) / 15!

=  18 × 17 × 16

= 4896 ways

Therefore, number of ways the head coach, assistant coach and the team manager can be chosen from the group of 18 people is equal to 4896.

Learn more about ways here

brainly.com/question/16595569

#SPJ4

Answer:

A

Step-by-step explanation:

You are subtracting 2 from y every step.

Based on the number line, it appears that Sandy simplified the expression (6 × 3) + (4 × 2) - 5. The number line shows six jumps of size 3, which equals 18, and four jumps of size 2, which equals 8.

The final step on the number line is a jump of size -5, indicating subtraction. Adding the 18 and 8 and then subtracting 5 results in a final answer of 21.

Sandy used a number line to simplify a numerical expression, and based on the number line, she appears to have simplified the expression (6 × 3) + (4 × 2) - 5. The number line shows six jumps of size 3, representing the first part of the expression, which equals 18. The number line also shows four jumps of size 2, representing the second part of the expression, which equals 8.

The final step on the number line is a jump of size -5, indicating subtraction. Adding the 18 and 8 and then subtracting 5 results in a final answer of 21.

Sandy simplified the expression (6 × 3) + (4 × 2) - 5 using a number line, and the answer based on the number line is 21.

To know more about expression visit:

brainly.com/question/28170201

#SPJ11

Answer:

c

Step-by-step explanation:

took that couple days ago

Answer:

1799.08748

Rounded version: 1799

Step-by-step explanation:

Report me if its wrong mark me Brianliest if its right.

Answer:

  (a) negative three halves (-3/2)

Step-by-step explanation:

You want the slope of the line through points (1, 0) and (3, -3).

The slope can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -0)/(3 -1) = -3/2

(a) The slope of the line is -3/2.

<95141404393>

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4

The point where the two ladders cross is approximately 9.9 feet from the ground.

To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the two walls and the ground form a right triangle, with the two ladders as the other two sides. Let's call the height at which the two ladders cross "x". Then we can set up two equations:

x^2 + 15^2 = 25^2

x^2 + 15^2 = 18^2

Solving these equations, we get x = 9.899, which we can round to 9.9 feet. Therefore, the point where the two ladders cross is approximately 9.9 feet from the ground.

For more questions like Ladders click the link below:

https://brainly.com/question/28636911

#SPJ11

Step-by-step explanation:

x + 2x + 7x

72 = 9x

72 - 9 = x

63 = x

63 ÷ 3 = 21

piece 1 = 21

piece 2 =21+2 = 23

piece 3 =21+7 = 28

21+23+28 = 72 This proves the above is correct.

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

10 visits

Step-by-step explanation:

John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer.

Let the number of visits be represented as: x

For John

John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit.

The equation = $30 + $5 × x

= 30 + 5x

For Caleb

Caleb decided to go to Club4Fitness, which just charges $8 per visit.

The Equation = $8 × x

= 8x

We equate both equations to each other

30 + 5x = 8x

Collect like terms

30 = 8x - 5x

30 = 3x

x = 30/3

x = 10

Therefore, John and Caleb would spent the same amount of money after 10 visits.

The equation of the line is y = 4x. Option B

First, we need to know that the general equation of a line is expressed as;

y = mx + c

Such that the parameters of the formula are expressed as;

From the information given, we have that the points in the line are;

(1,-4)

(2,-8)

Now, let us determine the slope of the line, we have to take the change in the value of the points

Slope, m = -8 -(-4)/2-1

expand the bracket

Slope, m = 4

Then, the intercept is;

-8 = 4(2) + c

c = 0

Equation of the line would be;

y = 4x

Learn more about equation of a line at: https://brainly.com/question/18831322

#SPJ1

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The sequence of arithmetic sequence be 37, 29, 21, 13 then the 52nd term exists 445.

The term "arithmetic sequence" refers to an ordered collection of numbers with a common difference between each succeeding word.

Arithmetic sequences are those that contain these patterns. The difference between successive terms in an arithmetic series is constant.

An arithmetic sequence, also known as an arithmetic progression, is a set of numbers where each term differs from the one before it. The arithmetic sequence formula makes it simple to determine a term's value and the sequence's common difference.

The AP's first period is 37.

Common difference = 37 - 29 = 29 - 21 = 8.

Let the equation of arithmetic sequence be a + ( n - 1 )d, where d is the common difference and a is the first term.

To find the 52nd term, we get

substitute the values in the above equation, we get

⇒ 37 + ( 52 - 1 )8

simplifying the above equation, we get

⇒ 37 + ( 51 )8

⇒ 37 + 408

⇒ 445

Therefore, the 52nd term of the arithmetic sequence exists 445.

To learn more about arithmetic sequence refer to:

brainly.com/question/6561461

#SPJ1

This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

Visit here to learn more about  interviewer bias : https://brainly.com/question/4961173
#SPJ11

Answer:

Decimal Form : 9.66

Percent Form : 966%

Step-by-step explanation:

The 9 33/50 as a percent and decimal are Decimal Form : 9.66 and Percent Form : 966%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

WE need to find the 9 33/50 as a percent and decimal.

Decimal Form : 9.66

Percent Form : 966%

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

Learn more about chromatography here:

https://brainly.com/question/31309579

#SPJ11

The equation expressing y, as the total number of volumes in the library, in terms of x, the number of mouths after march 2004 is y = 400x + 60,000.

The equation expressing y, as the total number of volumes in the library, in terms of x, the number of mouths after march 2004 is determined as follows;

Using general linear equation;

y = mx + b

where:

The initial volume as at March = 60,000

the rate = 400 volumes / month

The equation is determined as;

y = 400x + 60,000

Learn more about linear equation here: https://brainly.com/question/28732353

#SPJ4

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

Learn more about arithmetic progression from :

https://brainly.com/question/6561461

#SPJ11

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

Read more on scale factor here: brainly.com/question/29967135

#SPJ1

Answer:

x=50

Step-by-step explanation:

all you do is bring the like terms to the same side.

to bring 2x to 3x you need to change the sign so now it's 3x-2x which equals x.

then to bring -2 to 48, you change the sign of -2 so now it's 2+48 which equals 50!

hope this helped! im not sure if i explained it well or not .

Answer:

=50

Step-by-step explanation:

-2+3x=2x+48

48+2=2x-3x

50=x

therefore, x = 50

In 1973, one could buy a popcom for $1.25. If adjusted in today's dollar the price of popcorn today will be b. $7.22.

To adjust the price of popcorn from 1973 to today's dollar, we can use the Consumer Price Index (CPI) ratio. The CPI ratio is the ratio of the current CPI to the CPI in 1973.

Given that the CPI in 1973 was 45 and the CPI today is 260, the CPI ratio is:

CPI ratio = CPI today / CPI in 1973

= 260 / 45

= 5.7778 (rounded to four decimal places)

To calculate the adjusted price of popcorn today, we multiply the original price in 1973 by the CPI ratio:

Adjusted price = $1.25 * CPI ratio

= $1.25 * 5.7778

≈ $7.22

Therefore, the price of popcorn today, adjusted for inflation, is approximately $7.22 in today's dollar.

The correct option is b. $7.22.

To know more about dollar, visit

https://brainly.com/question/14686140

#SPJ11

The fact that the cards are replaced means that the probability of picking an ace exactly two times after replacing the card 5 times is 0.47%

As the cards are replaced, this makes this an independent probabilities problem.

The probability of getting an ace exactly two times is:

= Probability of getting ace once x Probability of getting ace once x Probability of not getting ace³

Solving gives:

= 4/52 x 4/52 x (48/52)³

= 0.00465

= 0.47%

Find out more on probability at https://brainly.com/question/5858025

#SPJ4

Answer:

8

Step-by-step explanation:

Use the trig. ratios to solve.

\( \tan(x) = \frac{opp}{hyp} \\ = \tan(45) = \frac{8}{x} \\ make \: x \: the \: subject \\ hence \: x = \frac{8}{ \tan(45) } \\ = 8\)

Answer:

65

Step-by-step explanation:

put the equation again plz

Answer:

by me investigation i go to the naza i was with a high gpa in my high school by all the students that work really hard in this answer the anwer would be 7

Answer:

2 nd one

Step-by-step explanation:

her commision varies

brainliest please

Answer: e = 200s + 4

Step-by-step explanation:

took the test