What value of x will make the triangles similar by the sss similarity theorem? 15. 9 59 77 96. 8.

Answers

Answer 1

Therefore, the value of x that will make the triangles similar by the SSS similarity theorem is approximately 73.51.

To determine the value of x that will make the triangles similar by the SSS (Side-Side-Side) similarity theorem, we need to identify the corresponding sides of the triangles and set up a proportion.

Let's denote the corresponding sides of the two triangles as follows:

Triangle 1: Side A = 15, Side B = 59, Side C = 77

Triangle 2: Side A' = 9, Side B' = x, Side C' = 96

According to the SSS similarity theorem, for two triangles to be similar, the ratios of the corresponding sides must be equal.

Therefore, we can set up the following proportion:

A / A' = B / B' = C / C'

Substituting the given values, we have:

15 / 9 = 59 / x = 77 / 96

To find the value of x, we can solve the second equation in the proportion:

59 / x = 77 / 96

Cross-multiplying, we get:

59 * 96 = 77 * x

Simplifying further:

5664 = 77x

Dividing both sides by 77:

x = 5664 / 77

Calculating this value:

x ≈ 73.51

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Related Questions

What happened in the legend of the Secret Pueblo gold mine?
a.
An Native American boy led the priests to a secret mine.
b.
A captured boy learned there was a mine that contained a vein of pure gold.
c.
Pueblo elders offered $10,000 to anyone who would find the location of the mine.
d.
Coronado spent his life trying to find a legendary mine.

Answers

Answer:

The answer is B: A captured boy learned there was a mine that contained a vein of pure gold.

Step-by-step explanation:

Took the test.

Answer:

The answer is B

Step-by-step explanation:

A captured boy learned there was a mine that contained a vein of pure gold.

The ministry of education is launching a certain project to encourage High school kids to participate more in math. two schools are involved in the project with there performance our the term collected.

Answers

The Ministry of Education can make informed decisions about the project's continuation, adjustments, or expansion to further promote math participation and achievement among high school students.

The Ministry of Education is launching a project aimed at encouraging high school students to participate more in math. The project involves two schools, and their performance over the term has been collected.

To further analyze and evaluate the project, we can follow these steps:

Collect and analyze the performance data: Examine the collected performance data from the two schools involved in the project. Look at various metrics such as test scores, participation rates, improvement over time, and overall engagement in math-related activities.

Identify patterns and trends: Analyze the data to identify any patterns or trends in the performance of the students. Look for variations between the two schools and assess whether there are any notable differences in their math participation and performance.

Assess the effectiveness of the project: Compare the performance data before and after the implementation of the project. Evaluate if there has been a positive impact on math participation and performance in both schools. Consider factors such as increased student engagement, improved test scores, and a higher level of interest and involvement in math-related activities.

Make informed decisions: Based on the analysis of the performance data and the assessment of the project's effectiveness, the Ministry of Education can make informed decisions about the project's continuation, adjustments, or expansion to further promote math participation and achievement among high school students.

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In the figure below, m Z1=(x+88)° and m2=3x°.
Find the angle measures.
J
1
2
m21=
m42=

In the figure below, m Z1=(x+88) and m2=3x.Find the angle measures.J12m21=m42=

Answers

Answer:

m<1 = 111 degrees, m<2 = 69 degrees

Step-by-step explanation:

The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:

x + 88 + 3x = 180  

4x = 108

x=23 degrees

Next, substitute 23 into the given angles:

m<1 = (23 + 88) = 111 degrees

m<2 = 23 * 3 = 69 degrees

Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps

Please help!! Use the the quadratic formula to solve 2x^2 - 10x + 3 show all solving steps.

Answers

Answer:

2x^2-10x+3

4x-10x+3

-6x+3

Step-by-step explanation:

help me with this question plz

help me with this question plz

Answers

Answer:

4

Step-by-step explanation:

4x +8 = 7x -4

3x = 12

x = 4

pls mark brainiest :)

Yall pls help wit these two

Complementary and supplnementary angles
Finding the missing angle measures

Yall pls help wit these two Complementary and supplnementary anglesFinding the missing angle measures

Answers

The values of x in the diagram is as follows:

14. x = 49 degrees

15. x = 58 degrees

How to find complementary and supplementary?

Complementary angles are angles that sum up to 90 degrees while supplementary angles are angles that sum up to 180 degrees.

Therefore, let's use the angle relationships to find the angle x in the diagram as follows:

Hence,

14.

x + x - 8 = 90

2x - 8 = 90

2x = 90 + 8

2x = 98

divide both side of the equation by 2

x = 98 / 2

x = 49 degrees

15.

2x + 6 + x = 180

3x + 6 = 180

3x = 180 - 6

3x = 174

divide both sides by 3

x = 174 / 3

x = 58 degrees

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Solve the inequality 6≥5m-4

Answers

Answer:\(m\leq 2\)

Step-by-step explanation:

6≥5m−4

Swap sides so that all variable terms are on the left-hand side. This changes the sign direction.

5m−4≤6

Add 4 to both sides

5m≤6+4

add 6+4 to get 10

5m≤10

next Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

m ≤ 10/5

now Divide 10 by 5 to get 2.

and your answer is m ≤ 2 Hopes this helps :)

please help me!!!!!

one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game ​

please help me!!!!!one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month

Answers

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

Step-by-step explanation:

A hostel has food provisioned for 30 days to serve 80
people. If 40 more men join the hostel, the same provision
would have last for how many days?

Answers

Answer: 20 days

Step-by-step explanation:

First, we find the food provisioned for 1 man will last for how many days

Take 80 times 30 = 2400 days

Now we know that 40 more joined

80 + 40 = 120 serve

So, we take 2400 divided by 120 = 20 days

Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.​

Answers

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36.

Answers

Hence, the area of base is \(x^2 - 2x - 9\)

What is division?

Division in maths is breaking a number into equal parts and finding out how many equal parts can be made.

How to solve?

The volume of a rectangular prism is,

        Volume = Area x Height

Substituting the given expressions,

\(x^3 + 2x^2 - 17x - 36 = Area x (x + 4)\)

Area = \((x^3 + 2x^2 - 17x - 36) / (x + 4)\)

Now, let's use synthetic division,

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is \(x^2 - 2x - 9\)

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The expected value of the number of points for one roll is
A) 0
B) 3
C) 6
D) 1

Answers

The expected value of rolling a fair die is 3.5, which rounded to the nearest whole number is 1.

Expected value is the average or expected outcome of a random experiment. In the case of rolling a single fair die, the expected value is found by taking the sum of the product of each outcome and its corresponding probability, and dividing by the number of outcomes.

Since a fair die has 6 outcomes, each with an equal probability of 1/6, the expected value for one roll is calculated as

The expected value of one roll is (1 * 1/6 + 2 * 1/6 + 3 * 1/6 + 4 * 1/6 + 5 * 1/6 + 6 * 1/6) = 21/6 = 3.5.

Since the expected value of one roll is 3.5, which is not a whole number, we can round to the nearest whole number, which would be 3. But, since the answer choices only have whole numbers, we would round down to the closest whole number, which would be 1. Hence the answer is D) 1.

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Answer:

The answer is A. 0 because i tried B. 3 and it was wrong.

Step-by-step explanation:

Have a wonderful day! :)

I NEED HELP ON THIS ASAP!!!

I NEED HELP ON THIS ASAP!!!

Answers

I hope this answer helps.

I NEED HELP ON THIS ASAP!!!
I NEED HELP ON THIS ASAP!!!

A 19 ft rope is tied from the top of a tent pole to a stake 11 ft away. To the nearest degree, what is the angle of elevation from the stake up to the tent pole?

Answers

The angle of elevation from the stake up to the tent pole is, 54.55°.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A 19 ft rope is tied from the top of a tent pole, It is the hypotenuse length.

Also, The state is 11 feet away and it is the adjacent length.

We know, cos = adjacent/hypotenuse.

cos = 11/19.

Ф = cos⁻¹(0.58).

Ф = 54.55°.

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Solve For X

please help, thank you :}

Solve For Xplease help, thank you :}

Answers

What is the question what do you want

Make a number line and mark the points that represent the following values of x. 5x<12

Answers

Answer:

The answer is: x < 2.4

Step-by-step explanation:

5x < 12

If we divide both sides by 5, we get an equation like this:

x < 12/5

Then we can convert that fraction to a decimal and we get this!

x < 2.4

Finally, in order to draw it on the number line, we need to do this:

Find 2.4 on the number line, then draw an open circle on that 2.4. Then, attach an arrow going from that circle all the way to the left of the number line! The circle and arrow represents the fact that "x" is not equal to 2.4, but it is smaller. If it was equal to 2.4 or smaller, then the open dot would have to be a closed dot!!!!

The school provides parking passes that include a letter and a number between 1 and 20. What is the probability that Mr. Welton will be given the parking pass with "W-17" on it?

Answers

26 letters in the alphabet.

1-20 = 20 numbers.

The probability of getting w = 1/26

The probability of getting 17 = 1/20

The probability of both: 1/26 x 1/20 = 1/520

What is the missing statement for step 7in this proof ?

What is the missing statement for step 7in this proof ?

Answers

The missing statement for step 7 in this proof include the following: A.  ΔDGH ≅ ΔFEH.

What is a parallelogram?

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

Based on the information provided parallelogram DEGF, we can logically proof that line segment GH is congruent to line segment EH and line segment DH is congruent to line segment FH using some of this steps;

GH ≅ EH and DH ≅ FH

∠HGD ≅ ∠HEF  and ∠HDG ≅ ∠HFE

DG ≅ EF

ΔDGH ≅ ΔFEH (ASA criterion for congruence)

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What is the missing statement for step 7in this proof ?

700 divided by 6 estimated

Answers

Answer:

116.6

Step-by-step explanation:

look above

An estimated result of 700 divided by 6 is approximately 117.

Here, we have,

To estimate the result of dividing 700 by 6,

we can round both numbers to more manageable values and perform the division.

Rounding 700 to the nearest ten gives us 700 rounded to 700.

Rounding 6 to the nearest whole number gives us 6 rounded to 6.

Now, we can perform the division:

700 ÷ 6 ≈ 117

Therefore, an estimated result of 700 divided by 6 is approximately 117.

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On average the number of drum sets sold in Michigan each year is 109,328, which is eight times the average number of drum sets sold each year in Delaware. How many drum sets, on average, are sold each year in Delaware?

Answers

Answer:

13,666 Should be the answer!

Step-by-step explanation:

You would take the total amount of drums from Michigan and divide that by 8! which would give you your total! Hope this helped and was right!

A lot of Chances for brainliest !!!!

A lot of Chances for brainliest !!!!

Answers

Answer:

number five is 7 :)

Step-by-step explanation:

factor each expression 16x + 40y=

Answers

Answer:

Step-by-step explanation:

To factor out 16x + 40y, we can first factor out the greatest common factor of 16, which is 16. This gives:

16x + 40y = 16(x + 2.5y)

Therefore, 16x + 40y can be factored as 16(x + 2.5y).

Answer:

16(x + 2.5y).

Step-by-step explanation:

PLEASE HELP I NEED TO GET THIS DONE FAST

PLEASE HELP I NEED TO GET THIS DONE FAST

Answers

Triangle ABC and Triangle ADC are congruent to each other because they are the same shape and size.

Congruence Statement: Triangle ABC’s three sides are equal in length to those of Triangle ADC’s three sides.

2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3

Answers

Answer:

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

\(2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\\)

Now we will solve for y using what we got for x.

\(2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0\)

Solution:

A: \((0, 3)\)

Angie packed same-size cubes into a rectangular prism. Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall. Which expression could be used to find the number of cubes that would fill the prism? A. ( 3 + 2 ) + 7 B. ( 3 × 2 ) × 6 C. ( 3 × 2 ) + 7 D. ( 3 × 2 ) × 7

Answers

Answer:

I believe it's C. (3 x 2) + 7!

The expression that could be used to find the number of cubes that would fill the prism will be (3 x 2) x 7. The correct option is D.

What is a rectangular prism?

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.

The rectangular prism has a base of cubes that is 3 units long and 2 units wide, which means it has an area of 3 x 2 = 6 square units.

The prism is also 7 cubes tall. To find the total number of cubes in the rectangular prism, we need to multiply the area of the base by the height of the prism. Therefore, the expression that could be used to find the number of cubes that would fill the prism is:

(3 x 2) x 7 = 6 x 7 = 42

So the answer is D. (3 x 2) x 7.

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(10x-4)/5=20 Solve for x write your answer in decimal form

Answers

Answer:

Step-by-step explanation:

(10x-4)/5=20

decimal is x= 10.4

The solution of the linear equation with a single variable (10x - 4) / 5 = 20 will be 10.4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

(10x - 4) / 5 = 20

The degree of the equation is one. Then the equation is a linear equation. Then solve the equation for 'x', then we have

(10x - 4) / 5 = 20

10x - 4 = 100

10x = 104

x = 10.4

The solution of the linear equation with a single variable (10x - 4) / 5 = 20 will be 10.4.

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what is the value of the x in this equation x/8 = 7​

Answers

Answer:

56

Step-by-step explanation:

x/8= 7

Cross multiply

x= 7×8

x= 56

Hence the value of x is 56

In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.

Answers

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Ambwene cut 3 lawns in his neighborhood on Friday and more on Saturday,
He earns $22.50 for each lawn cut. His total earning for both days is $135.
How many lawes did he cut on Saturday?

Answers

On Friday he made $67.50 by cutting three lawns. In order to find out how much he made on Saturday you would subtract 67.50 from 135 which would equal $67.50.

FILL IN THE BLANK. __________ is the amount of effort (usually in hours) required to perform cryptanalysis to decode an encrypted message when the key or algorithm (or both) are unknown.

Answers

Work factor is the amount of effort (usually in hours) required to perform cryptanalysis to decode an encrypted message when the key or algorithm (or both) are unknown.

Work factor refers to the estimate of the effort or time required by a potential perpetrator, with specified expertise and resources, to overcome a protective measure. In cryptography or cryptanalysis, a work factor refers to the amount of effort which is generally measured in units of time which is required to break down a cryptosystem. The work factor of a cryptosystem is linked to its key-length and the working mechanism used (encryption and decryption algorithms).

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natalie spends 90 minutes doing her math and english homework.the time she spends on her math homework is a function of the timeshe spends on her english homework. plz show work i dont understand is 0.11 closer to 0 or 0.5 leah works at a farmers market. when a customer brings a yellow, football-shaped fruit to leah to pay for it, leah can tell from a distance that the fruit is a lemon because she sees all manner of fruits and vegetables in her place of work. leah's situation is an illustration of Learn from me, if not by my precepts, at least by my example, how dangerous is the acquirement of knowledge and how much happier that man is who believes his native town to be the world, than he who aspires to become greater than his nature will allow.What idea is best displayed here?A- Literature RomanticismB- The loss of innocenceC- Isolating from society 9.Which of the following are used to represent unknown quantities in algebra? A) Upper case letters B) Lower case letters C) Only letters a and x D)None of the above An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 13 inches, and the length of the base is 8 inches. Find the triangles perimeter. Round to the nearest tenth of an inch. Which type of active transport protein moves two molecules into the cell at the same time?. People were standing on a football field a mile and a half long. It was 12 feet deep in both sides. Estimate the size of the crowd What was true of the Greek language during the Hellenistic age?The Greek language spread throughout the colonies.The Greek language combined with native languages.Schools were established to teach the Greek language.All scientific discoveries were recorded in the Greek language. Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x. The question below includes actual dates that must be used to determine the appropriate tax treatment of the transaction. Pat's divorce decree, finalized in 2016, requires Pat to make the following transfers to Pat's former spouse during 2019: Alimony payments of $9,000 to be reduced to $7,000 when their child attains the age of 18. Property division of stock with a basis of $2,000 and a fair market value of $3,500. What is the amount of Pat's alimony deduction for the year ending 12/31/2019 I urgently need help!!angle measures and segments find x round to the nearest tenth 7 7 10what is x? Given ABCD - WXYZ, Find the length of the segment AD, If Ab=12 WX=20 and WZ=8 PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS How many integers in the interval [1, 9 999] (i.e., the integers between 1 and 9 999 inclusive) have digits whose sum is 12. For example, 66 lies within the interval and 6 + 6 = 12, similarly for 9021, as 9 + 0 + 2 + 1 = 12 but the digits of 812 do not sum 12 Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)PLEASE HELP WITH PART B ASAP Assuming the butterflies traveled 3000 miles to reach their winter home, they averaged 60 miles per day and flew for an average of 8 hours per day.What is there average speed per hour?How many days would it take for them to reach their destination? The use of greek fire, a burning liquid discharged from a ship that would stay lit even under water, is usually associated with what medieval power? How did the Great Migration impact northern cities?. can someone tell me if this is right plzz