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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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.
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.
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=
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.
Answer:
2x^2-10x+3
4x-10x+3
-6x+3
Step-by-step explanation:
help me with this question plz
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
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
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
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?
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.
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.
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
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 hope this answer helps.
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?
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 :}
Make a number line and mark the points that represent the following values of x. 5x<12
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?
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 ?
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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700 divided by 6 estimated
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?
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 !!!!
Answer:
number five is 7 :)
Step-by-step explanation:
factor each expression 16x + 40y=
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
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
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
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
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
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.
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?
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.
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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