How do you solve unknown angle problems in algebra?

Answers

Answer 1

To find any unknown angle in algebra we use the different properties of the angles.

Some of the properties of angle include alternate interior angle, corresponding angles, exterior angle as well as sum of the angles. Suppose we have a quadrilateral having three angles as 75°, 85° and 95° and we need to find the unknown angle. We know that the sum of all the interior angles of quadrilateral is equal to 360°. So we assume that the unknown angle is x°. By using the property we write the algebraic expression as

x° + 75° + 85° + 95° = 360°

x° + 255° = 360°

x° = 360° - 255°

x° = 105°

Thus the unknown angle is determined by using geometry as well as algebra.

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Related Questions

What is the probability of choosing a gray button not replacing it and choosing gray again?

What is the probability of choosing a gray button not replacing it and choosing gray again?

Answers

answer:

the probability of choosing a gray button is 3/5

after putting it back the probability remains the same, so 3/5 for both answers

Answer:

\(\sf \dfrac{3}{10}\) = 0.3 - 30%

Step-by-step explanation:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Given:

Grey buttons = 3White buttons = 2Total buttons = 5

\(\sf P(gray) = \dfrac35\)

If the button is not replaced, there are now:

Grey buttons = 3 - 1 = 2White buttons = 2Total buttons = 5 - 1 = 4

\(\sf P(gray) = \dfrac24=\dfrac12\)

Therefore,

\(\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}\)

Kyle can type 574 words in the 14 minutes. How many words per minute can Kyle type?

Answers

Answer:

41 words per minute

Step-by-step explanation:

Take the total number of words and divide by the number of minutes

574/14 = 41

41 words per minute

Answer:

41 words per minute

Step-by-step explanation:

If you divide 574 and 14 it is 41

574/14=41

41 words per minute

HOPE I HELPED!!!!

Have a great day!!!

Which list represents all values of x for which the function has a discontinuity? 1 0 and 1 –2 and 1 –2, 0, and 1

Answers

The list that represents the values of x for which the function has a discontinuity is 0 and 1

How to determine the list of values?

The function is given as:

\(f(x) = \frac{1}{x (x -1)}\)

Start by setting the denominator to 0

x(x -1) = 0

Split the equation

x = 0 and x -1 = 0

Solve for x

x = 0 and x = 1

Hence, the list that represents the values of x for which the function has a discontinuity is 0 and 1

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A number cube is tossed 60 times. outcome frequency 1 12 2 13 3 11 4 6 5 10 6 8 determine the experimental probability of landing on a number greater than 4.

Answers

The experimental probability of landing on a number greater than 4 is 0.25 or 25%.

To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).

The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.

So, the experimental probability is 18/60 = 0.3 or 25%.

It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.

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the answer in fraction form is 18/60

if thats what you are looking for.

AB=2x+7,AC=7x-3,BC=4x-2

Answers

The value of x on the line segment is 8

How to determine the value of x?

The given parameters are:

AB = 2x + 7

AC = 7x - 3

BC = 4x - 2

The above means that the point B is on the line segment AC

So, we have:

AC = AB  + BC

This gives

2x + 7 + 4x - 2 = 7x - 3

Evaluate the like terms

-x = -8

Divide both sides by -1

x = 8

Hence, the value of x on the line segment is 8

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complete the equation 4/5= ____×
1/5​

Answers

Answer:

HI! I think the answer is 4.

Answer:

4/5 = 4 x 1/5

Step-by-step explanation:

Since we can write 4 as 4/1, that means 4 is the answer. This is because you multiply the top numbers and the bottom numbers, 4x1 is 4, and 1x5 is 5, so that means the answer is 4 since that problem got us 4/5.

Evaluate

7

1
/
6



3

5
/
8

.

Answers

Answer:

3.542

Step-by-step explanation:

7 1/6 - 3 5/8 = (85/24) = 3(13/24) ≅ 3.5416667.

7⅙ - 3⅝ = 8524 = 3 1324 ≅ 3.5416667 (simplified) = 3.542

Which of the following conditions must be met in order to construct a 99% confidence interval for the true mean difference in pretest and posttest scores? (a) The distribution of both pretest scores and posttest scores must be approximately Normal. (b) The distribution of pretest scores and the distribution of differences (post-pre) must be approximately Normal (c) Only the distribution of pretest scores must be approximately Normal (d) Only the distribution of differences (post --pre) must be approximately Normal. (c) All three distributions (pretest, postecst, and the difference) must be approximately Normal.

Answers

The correct answer is (c) Only the distribution of pretest scores must be approximately Normal

How is conditions for 99% CI calculation?

In order to construct a 99% confidence interval for the true mean difference in pretest and posttest scores, we need to meet certain conditions. The only condition that must be met is that the distribution of pretest scores should be approximately Normal. This means that the data collected from the pretest should follow a bell-shaped curve, with the majority of the scores being clustered around the mean. This condition is important because it helps us to make accurate statistical inferences about the population mean difference based on the sample data. The distribution of posttest scores or the difference between posttest and pretest scores are not required to be normal for constructing a confidence interval.

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To construct a 99% confidence interval for the true mean difference in pretest and posttest scores, the condition that must be met is only the distribution of differences (post-pre) must be approximately Normal. Thus, the correct option is D.

When constructing a confidence interval for the true mean difference in pretest and posttest scores, it is only necessary for the distribution of the differences to be approximately Normal. The distributions of the pretest and posttest scores themselves do not need to be Normal, as long as the difference between them is approximately Normal.

However, if all three distributions (pretest, posttest, and the difference) are approximately Normal, this can improve the accuracy and precision of the confidence interval.

Therefore, D is the correct option.

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Estimate to the nearest tenth.
✓52
O 7.0
O 7.2
0 7.6

Estimate to the nearest tenth.52O 7.0O 7.20 7.6

Answers

Answer:

7.2

Step-by-step explanation:

Grace is finishing her scrapbook by printing out several photos from her latest trips. She printed not less than 60 photos on 2R and 3R. Each 2R print costs P3 and a 3R print costs P5 and she spent a maximum of P200 for her printing needs. Let x represent the number of 2R prints and y represent the number of 3R orints she had for her scrapbook.

Answers

A system of inequalities that models the number of 2R prints and 3R prints Grace had for her scrapbook include the following;

x + y ≥ 5

3x + 5y ≤ 2000

How to write an equation to model this situation?

In order to write a system of inequalities to describe this situation, we would assign variables to the number of 2R prints and the number of 3R prints respectively, and then translate the word problem into a linear equation as follows:

Let the variable x represent the number of 2R prints.Let the variable y represent the number of 3R prints.

Since Grace printed not less than 60 photos on 2R and 3R and each 2R print costs P3 and a 3R print costs P5 and she spent a maximum of P200 for her printing needs, a system of inequalities that models the situation is given by;

x + y ≥ 5

3x + 5y ≤ 2000

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Missing information:

Write a system of inequalities to model this situation

A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.

Answers

Answer:

Step-by-step explanation:

It drops 235 feet per move.

235 * 4 = 1140 feet below sea level.

-1140 is also possible.

as we repeat a random process over and over, the proportion of times that an event occurs will eventually settle down to one number

Answers

This phenomenon is known as the Law of Large Numbers. According to this law, as we repeat a random process many times, the average of the outcomes will converge to a single, predictable value.

For example, if we flip a fair coin many times, the proportion of times it lands heads or tails will eventually settle down to 50% each. Similarly, if we roll a fair dice many times, the proportion of times each number comes up will eventually settle down to approximately 1/6.

This convergence to a predictable value occurs because as the number of trials increases, the effect of random fluctuations decreases. In other words, the more times we repeat the process, the closer the observed proportion gets to the true probability of the event.

Overall, the Law of Large Numbers is a fundamental principle in probability theory and statistics, and it has important implications in many fields, including finance, engineering, and science.

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What is the value of 4(x − 2)(x − 3) + 7(x-2)(x - 5) - 6(x - 3)(x - 5) when * = 5?

Answers

Answer:

24

Step-by-step explanation:

Substitute 5 for x.

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Simplify data inside of parenthesis.

4(3)(2) + 7(3)(0) - 6(2)(0)

Because anything multiplied by 0 is 0, you can cancel out the last 2 terms.

Remaining term.

4(3)(2)

Solve: 12*2

24

Help anyone can help me do this question 3,I will mark brainlest.​

Help anyone can help me do this question 3,I will mark brainlest.

Answers

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = \(\frac{9-3}{-3-(-9)}\) = \(\frac{6}{-3+9}\) = \(\frac{6}{6}\) = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = \(\frac{9-1}{-3-5}\) = \(\frac{8}{-8}\) = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled

what is the ratio for 18 goldfish in a tank of 48 fish simplify the answer please I will give you brainliest

Answers

The correct answer is 3:8

Answer:

Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk  thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy  

Step-by-step explanation:

bestiess

A pear costs x cents. An orange costs y cents less
than a pear. Find the cost of 4 pears and half a
dozen of oranges.
zoc-5
-600-​

Answers

The cost of a product refers to the price or amount of money required to purchase or acquire that particular item. It represents the financial value assigned to the product by the seller or the market. Total cost = 4x + 3 * (cost of a pear - y) cents.

The cost of a pear is x cents.  The cost of an orange is y cents less than a pear. To find the cost of 4 pears, you simply multiply the cost of one pear by 4:
4 * x = 4x cents.

To find the cost of half a dozen oranges, you need to determine the cost of one orange and then multiply it by 6 and divide by 2:
Cost of one orange = cost of a pear - y cents.
Cost of half a dozen oranges = (6 * (cost of a pear - y)) / 2 = 3 * (cost of a pear - y) cents.

So, the total cost of 4 pears and half a dozen oranges is the sum of the cost of 4 pears and the cost of half a dozen oranges:
Total cost = 4x + 3 * (cost of a pear - y) cents.

Please note that the given expression "zoc-5-600" does not seem to be relevant to the question at hand.

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ΔABC is translated 4 units to the left and 8 units up. Answer the questions to find the coordinates of A after the translation. 1. Give the rule for translating a point 4 units left and 8 units up. 2. After the translation, where is A located?

Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection?
5. Is the final figure congruent to the original figure? How do you know?

Answers

The rule is to minus 4 from the x-coordinate and add 8 to the other. The coordinates of A after the reflection are (-x,y). Thus, it is present to the left of the Y-axis. Yes, the final figure is congruent to the original figure.

To translate a point 4 units left and 8 units up, we subtract 4 from the x-coordinate and add 8 to the y-coordinate.

Now, let’s apply this rule to point A. If A has coordinates (x,y), then after translation it will have coordinates (x-4,y+8).

For the second question, we can find the new location of A by using the coordinates we just found. So if A was originally located at (x,y), it will now be located at (x-4,y+8).

To reflect a point over the y-axis, we negate its x-coordinate. So if A has coordinates (x,y), then after reflection it will have coordinates (-x,y).

Using this rule, we can find that after reflection over y-axis, point A will have coordinates (-x,y).

Finally, since translation and reflection are both rigid transformations, they preserve distance and angles between points. Therefore, the final figure is congruent to the original figure.

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Correct question is:

ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis.  Answer the questions to find the coordinates of A after the translation.

1. Give the rule for translating a point 4 units left and 8 units up.

2. After the translation, where is A located?

3. Give the rule for reflecting a point over the y-axis.

4. What are the coordinates of A after the reflection?

5. Is the final figure congruent to the original figure? How do you know?

ABC is translated 4 units to the left and 8 units up. Answer the questions to find the coordinates of

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Andy is hanging wallpaper in his kitchen. He is able to cover 2 2/5 of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?

Answers

Answer: 2.5 rolls per wall.

Step-by-step explanation: Since there are more rolls of wallpaper used than the walls themselves, you can say 6/(12/5). Please double check, just in case I am wrong.

Sadie purchased a new laptop six months ago for $2,025. Based on an article she found on a consumer product information website, she estimates that the value of her computer five months from now will be $1,629. Assuming linear depreciation, find the equation that relates the value, V, of the laptop to the number of months, t, since Sadie purchased the laptop.

V=?

Answers

To find the equation that relates the value, V, of Sadie's laptop to the number of months, t, since she purchased it, we can use the concept of linear depreciation.

We know that the laptop's value six months ago was $2,025 and five months from now it will be $1,629. We can use these two points to determine the equation of the line.

Let's denote the value of the laptop as V and the number of months since the purchase as t. We can set up the equation in the slope-intercept form, y = mx + b, where y is the value of the laptop and x is the number of months.

Using the two given points:

Point 1: (6, 2025)

Point 2: (11, 1629)

We can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = (1629 - 2025) / (11 - 6)

m = -396 / 5

m = -79.2

Now, we can substitute one of the points into the slope-intercept form to find the y-intercept (b). Let's use Point 1:

2025 = -79.2 * 6 + b

2025 = -475.2 + b

b = 2025 + 475.2

b = 2500.2

Therefore, the equation that relates the value (V) of the laptop to the number of months (t) since Sadie purchased the laptop is:

V = -79.2t + 2500.2

This equation represents the linear depreciation model, where the laptop's value decreases by $79.2 per month.

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What is 12,634 divided by 6

Answers

Answer:

439 :)

Step-by-step explanation:

12,634/6

439

Answer:

2105.66667 or 2105.67 :)

Step-by-step explanation:

hope this helps! have a great day!!

A compound event may consist of two dependent events.
A. True
B. False

Answers

A. True. A compound event may consist of two dependent events. Dependent events are those in which the outcome of the first event affects the outcome of the second event. For example, drawing a card from a deck and not replacing it before drawing a second card would be an example of dependent events.

Yes, A compound event may consist of two dependent events.

Mrs. Wright is planning her best friend's baby shower. She calculates that the food will cost $9 per guest, and she has already spent $43 on decorations.

Answers

Based on the questions, 13 guests are attending her best friend’s baby shower.

How did we get 13 guests as a result?

Firstly, we need to write down the numbers that are already stated in the question.

The food will cost around $9 per guests. She spent $43 on decoration for the event. Then, she can afford to spend $160 for the event.

43 + 9 × х = 160

Secondly, move the x to continue counting.

9x = 160 – 43

Thirdly, calculate the numbers above.

9x = 117

Then, move the X to get the answer.

X = \(\frac{117}{9}\)

Lastly, try to finish the division.

X = 13

In conclusion, the result shows that 13 guests attend Mrs. Wright’s best friend's baby shower.

The above question is about the algebraic word problem.

A word problem is a math question written in a short story scenario. Usually, it is a simple short story that is easy to understand.

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On average, indoor cats live to 14 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X=the age at death of a randomly selected indoor cat. Round all numeric answers to 2 decimal places. A. X ~ N( , ) B. Find the probability that an indoor cat dies when it is between 15 and 18 years old.

Answers

The probability that an indoor cat dies when it is between 15 and 18 years old is 0.2898.

Given, On average, indoor cats live to 14 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X=the age at death of a randomly selected indoor cat. To find: A. X ~ N( , ) B. X ~ N(14,2.5^2)

The mean age at death of a randomly selected indoor cat is 14 years. The standard deviation of the ages is 2.5 years. Therefore, X ~ N(14,2.5^2).2) Now we need to find the probability that an indoor cat dies when it is between 15 and 18 years old. Let Z be the standard normal random variable. Z = (X-μ)/σ Where X is the age of death of the indoor cat. μ is the mean age of death of an indoor cat, which is 14 years. σ is the standard deviation of the ages, which is 2.5 years.

Z = (X-14)/2.5 The required probability is: P(15 ≤ X ≤ 18) = P((15-14)/2.5 ≤ Z ≤ (18-14)/2.5)= P(0.4 ≤ Z ≤ 1.6) Using the standard normal distribution table, we can find that: P(0.4 ≤ Z ≤ 1.6) = P(Z≤1.6) - P(Z≤0.4)= 0.9452 - 0.6554= 0.2898 Therefore, the probability that an indoor cat dies when it is between 15 and 18 years old is 0.2898.

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the number which best completes the sequence below is: 2 9 5 13 10 19 17

Answers

The number which best completes the sequence is 31.

To identify the pattern in this sequence, we can observe that it alternates between adding 7 and adding 4. Let's see this step by step:

1. 2 + 7 = 9
2. 9 + 4 = 13
3. 13 + 7 = 20
4. 20 + 4 = 24
5. 24 + 7 = 31

However, there's a discrepancy in the sequence provided: the number 5, which should have been 20, and the number 10, which should have been 24. With the corrected sequence, it should look like this: 2, 9, 20, 13, 24, 19, 17.

The best number to complete the corrected sequence is 31, following the pattern of alternately adding 7 and 4.

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The table below describes a type of government.

Executive-Elected by the legislature

Legislature-Elected by the people

Which title best completes the table?

parliamentary

unitary

confederal

federal

The table below describes a type of government.Executive-Elected by the legislatureLegislature-Elected

Answers

Answer:

unitary best completes the table

Can someone explain it to me?

Can someone explain it to me?

Answers

Answer:

a= 20 b= 160 c= 90

Step-by-step explanation:

Based on how 20 is the angle as you can see by the arrow I made the assumption that a is 20 degrees and for c my estimated guess is 90 because if you imagine how many of the 20 degree angle can fit there you get around 80-90 so I made the guess it was option C. I am sorry if this doesn't make sense I tired to understand it I hope you get the answer right. Also enjoy the rest of your day!

List five tasks that a layer can perform. is it possible that one (or more) of these tasks could be performed by two (or more) layers?

Answers

Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.

Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.

Error control: The identification and correction of errors that occur during the transmission of data is called error control.

Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.

Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.

Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.

All these tasks can be duplicated at different layers.

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Help me with this please! :D

Help me with this please! :D

Answers

Answer:

#1=2

#2= 14

#3= 26

#4= 32

Step-by-step explanation:

y=6x-16

Lets use the first one as an example: since x is our variable we can plug in 3 into the equation to make y=(6x3)-16. 6x3=18, so y=18-16 which is 2. You can plug in any other number to find your answer as long as you follow the pattern in the equation.

y=6x-16
y=6(3)-16
y=2
y=6(5)-16
y=14
y=6(7)-16
y=26
y=6(8)-16
y=32
So your answers for chart: 2, 14, 26, 32

Write the expression as a square of a binomial if possible: 19x^2+2/15xy+1/25y^2 Anyone who answers my question I will name brainliest. Thank You

Answers

Answer:

Formula: a² + 2ab + b² = (a + b)²

The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.

The answer is (1/3x + 1/5y)².

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags?


A. Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.


B. Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.



C. No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.


D. No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.

Answers

Answer:

B i think

Step-by-step explanation:

can u mark me brainliest plz

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