The two triangles are similar. What is the value of x? Enter your answer in the box. x=square.
For the given two similar triangles the value of x is equal to 7 units.
Figure is attached.
In triangle ABC and DBE,
Measure of ∠ABC = Measure of ∠DBE
Measure of ∠ACB = Measure of ∠DEB
By AA,
ΔABC is similar to ΔACB with correspondence DBE ↔ ABC
In the triangle ABC,
Measure of side length AB = AD + DB
= 6 + 8
= 14
Measure of side length BC = 3x
In triangle DBE,
Measure of side length DB = 8
Measure of side length BE = 2x - 2
In similar triangle corresponding sides are in proportion
⇒ AB / DB = BC / BE
⇒14 / 8 = 3x / (2x -2 )
⇒14 ( 2x -2 ) = 3x (8 )
⇒ 28x - 28 = 24x
⇒ 28x - 24x = 28
⇒4x = 28
⇒ x = 7 units
Therefore, the value of x for the two similar triangles is 7 units.
The above question is incomplete , the complete question is :
The two triangles are similar. What is the value of x? Enter your answer in the box. x=square.
Figure attached.
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I need help with this question!
Answer:
Meg needs the part.
Steve needs the percent.
Step-by-step explanation:
This is a weird question that I've never seen before. But, anyway....
Meg is given the percentage (50%) and the total (16 dogs). Steve has the total (35) and the part (7) but not the percentage.
Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
Answer:
234
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
here [ a, b ] = [3, 6 ] , then
f(b) = f(6) = \(3^{6}\) + 17 = 729 + 17 = 746
f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then
average rate of change = \(\frac{746-44}{6-3}\) = \(\frac{702}{3}\) = 234
What is the distance from (−5, −19) to (−5, 32)? HELPP
13 units
51 units
−13 units
−51 units
The distance between the given coordinates (−5, −19) and (−5, 32) is given by 51 units.
Let us consider the coordinates of two given points be,
(x₁ , y₁ ) = ( -5 , -19 )
(x₂ , y₂ ) = (-5 , 32 )
Distance formula between two points is equals to,
Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²
Substitute the values of the coordinates we have,
⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²
⇒ Distance = √ (32 +19)² + (-5 + 5)²
⇒ Distance = √ 51² + 0²
⇒ Distance = 51 units.
Therefore, the distance between the two points is equal to 51 units.
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The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350. Which of the fallowing could be combination of values for the plumbers work hours and total work fee she charges ?
Answer: $70 per hour
Step-by-step explanation:
Hi, to answer this question we have to calculate the hourly fee.
To do this, we simply have to divide the 5 hour fee price (350) by the number of hours worked.(5):
Mathematically speaking:
350/5 = $70 per hour
So, since the work fee is proportional, for x hours, the expression is:
70x
Feel free to ask for more if needed or if you did not understand something.
TRIG STUFF EASY WILL GIVE BRAINLIEST IF ALL ARE CORRECT
Answer:
x = 46.2 (nearest tenth)KN = 34.5 (nearest tenth)KL = 41.1 (nearest tenth)x = 15.7 (nearest tenth)Step-by-step explanation:
To find the missing side lengths in the given right triangles, use trigonometric ratios.
\(\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
From inspection of the first triangle ABC, we have been given the angle, the side opposite the angle and the side adjacent the angle.
θ = 18°O = 15A = xTherefore, to calculate the length of the adjacent side, x, substitute the values into the tangent ratio:
\(\implies \tan 18^{\circ}=\dfrac{15}{x}\)
\(\implies x\tan 18^{\circ}=15\)
\(\implies x=\dfrac{15}{\tan 18^{\circ}}\)
\(\implies x=46.165253...\)
\(\implies x=46.2\;\;\sf(nearest\;tenth)\)
----------------------------------------------------------------------------------------
Triangle LMN is a right triangle. Interior angles of a triangle sum to 180°.
Therefore, as m∠M = 50° and m∠MLN = 90°, then m∠MNL = 40°.
As KN is perpendicular to NM and m∠MNL = 40° then m∠KNL = 50°.
As KL is parallel to NM, then m∠K = 90°. Therefore, m∠KLN = 40°.
(Refer to the attached diagram).
For right triangle LMN, we have been given the angle (∠M) and the side adjacent to the angle (LM). To find an expression for the length of the side opposite the angle (LN), use the tangent ratio:
\(\implies \tan 50^{\circ}=\dfrac{LN}{45}\)
\(\implies LN=45\tan 50^{\circ}\)
LN is the hypotenuse of right triangle KLN.
If we use ∠KNL as θ, then side KN is adjacent to the angle.
Therefore, to find the KN use the cosine ratio:
\(\implies \cos 50^{\circ}=\dfrac{KN}{LN}\)
\(\implies \cos 50^{\circ}=\dfrac{KN}{45\tan 50^{\circ}}\)
\(\implies KN=45\tan 50^{\circ}\cos 50^{\circ}\)
\(\implies KN=34.471999...\)
\(\implies KN=34.5\;\; \sf (nearest\;tenth)\)
As KL is the side opposite ∠KNL, to find KL use the sine ratio:
\(\implies \sin 50^{\circ}=\dfrac{KL}{LN}\)
\(\implies \sin50^{\circ}=\dfrac{KL}{45\tan 50^{\circ}}\)
\(\implies KL=45\tan 50^{\circ}\sin50^{\circ}\)
\(\implies KL=41.0821297...\)
\(\implies KL=41.1\;\;\sf (nearest\;tenth)\)
----------------------------------------------------------------------------------------
From inspection of the second triangle ABC, we have been given the angle, the side adjacent the angle and the hypotenuse.
θ = 70°A = xH = 46Therefore, to calculate the length of the adjacent side, x, substitute the values into the cosine ratio:
\(\implies \cos 70^{\circ}=\dfrac{x}{46}\)
\(\implies x=46\cos 70^{\circ}\)
\(\implies x=15.732926...\)
\(\implies x=15.7\;\;\sf(nearest\;tenth)\)
x2 - 14x + 40 = 2x +1
What is the sum of the solutions to the given
equation?
Answer:
x=3 or x=13
Step-by-step explanation:
HURRY
Given the function f(x) = −5x2 − x + 20, find f(3). −28 −13 62 64
Answer: I think the answer is 64 or -28
Step-by-step explanation:
Three professors at a university did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $10 cash in different classrooms on the campus. 42% were returned overall. From the economics classes 58% of the envelopes were returned. From the business, psychology, and history classes 32% were returned. • R = money returned • E = economics classes • O = other classes1. ) Write a probability statement for the overall percent of money returned.
2. ) Write a probability statement for the percent of money returned out of the economics classes. 3. ) Write a probability statement for the percent of money returned out of the other classes.
According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
What is meant by probability?Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.
Let the money returned = R
economics classes = E
other classes = O
a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)
b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)
c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).
d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.
e). According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.
The complete question is:
Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.
From
the business, psychology, and history classes 31% were returned.
Let: R = money returned; E = economics classes; O = other classes
a. Write a probability statement for the overall percent of money returned.
b. Write a probability statement for the percent of money returned out of the economics classes.
c. Write a probability statement for the percent of money returned out of the other classes.
d. Is money being returned independent of the class? Justify your answer numerically and explain it.
e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.
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Write the next three terms of the arithmetic sequence.
1.3,1,0.7,0.4,
Answer:
0.1
-0.2
-0.5
Step-by-step explanation:
Each term is 0.3 less than the previous term
1.3 - 0.3 = 1
1 - 0.3 = 0.7
0.7 - 0.3 - 0.4
0.4 - 0.3 = 0.1
0.1 - 0.3 = -0.2
-0.2 - 0.3 = -0.5
9. A snail moves at a speed of 8.5 meters per hour.
How long will it take a snail to travel 12 feet at this pace?
(Note: 1m = 3.28ft )
The snail will take approximately 0.43 hours or 25.8 minutes to travel 12 feet at the speed of 8.5 meters per hour.
Given, A snail moves at a speed of 8.5 meters per hour, 1m = 3.28ft. Let's convert meters per hour into feet per hour by multiplying it with 3.28ft/m. So, 8.5 meters per hour = 8.5 × 3.28 feet per hour ≈ 27.88 feet per hour.
Now, to calculate the time taken by a snail to travel 12 feet, we can use the formula: Time = Distance ÷ Speed
Time taken = 12 feet ÷ 27.88 feet per hour ≈ 0.43 hours (rounded to two decimal places)
Now, let's convert 0.43 hours to minutes by multiplying it with 60 minutes per hour: 0.43 hours × 60 minutes per hour ≈ 25.8 minutes (rounded to one decimal place). Therefore, it will take approximately 0.43 hours or 25.8 minutes for the snail to travel 12 feet at the speed of 8.5 meters per hour.
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How to do this question plz answer me step by step plzz
Answer:
Hope it helps U can still ask me if u have confusions
Answer:
60+16√30 cm² ≈ 147.64 cm²
Step-by-step explanation:
You can figure the height of the object from ...
V = Bh
120 cm^3 = (30 cm^2)h
4 cm = h . . . . . divide by 30 cm^2
However, this is insufficient to tell you the surface area.
__
If you assume that the base is square, then its side length is
A = s^2
s = √A = √(30 cm^2) = (√30) cm
The lateral surface area can then be found from the perimeter of the base and the height
LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2
The total surface area will be the sum of this lateral area and the area of the two bases:
total area = 16√30 cm^2 +2·30 cm^2
total area = (60 +16√30) cm^2 ≈ 147.64 cm^2
__
For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.
Find the value of x in this figure.
Step-by-step explanation:
angle x is equal to 65
angles of triangle is equal to 180
Answer:
Hello,
Step-by-step explanation:
\(mes\ \widehat{QOP}=60^o\ since \ triangle \ OQM\ is\ isocele\\\\M=middle\ of\ [OP]\\\\x=90^o -60^o=30^o\\\)
There are 6 teams in the basketball
league. Each team has 8 players. How
many players are there?
Answer:
48
Step-by-step explanation:
8 players for every team: 6x8=48.
Answer:
48 players
Step-by-step explanation:
There are 6 teams
There are 8 players per team
You can multiply them: 6 x 8 = 48
1 team = 82 teams = 8 + 8 = 163 teams = 16 + 8 = 244 teams = 24 + 8 = 325 teams = 32 + 8 = 406 teams = 40 + 8 = 48There are 48 players
-Chetan K
A. 8
B. 12
C. 2
D. 4
I don’t know this please help
Answer: I think it’s 8
Step-by-step explanation: because it can’t be the other ones
a yield sign measures 24 inches on each of its three sides. what is the area of the sign? (round your answer to one decimal place.)
A yield sign measures 24 inches on each of its three sides ( equilateral )then the area of the sign is 249.4
Given,
24 inches on each of its three side. (See in attached picture)
Consider ADB,
As it is an equilateral triangle, BD = BC/2 = 12 inches
By Pythagoras theorem,
AB^2 = BD^2 + AD^2
24^2 = 12^2 + AD^2
24^2 – 12^2 = AD^2
576-144 = AD^2
432= AD^2
20.78= AD
Area = ½ (base * height)
= ½ (24*20.78)
= 249.4
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all of the questions
the distribution of heights of young men is approximately normal with mean 69.2 inches and standard deviation 2.5 inches. what is the standard score of a height of 72 inches (6 feet)?
The standard score for the distribution with mean at the height of 6 feet or 72 inches is 1.12.
The normal distribution of height of men is approximately normal with mean 69.2 inches and standard deviation of sigma=2.5 inches
According to the empirical rule of probability, about 95% observations falls within two standard deviation of mean.
Therefore,
Lower bound=μ + 2×σ
=69.2 + 2×2.5
=69.2 + 5.0
Lower bound = 74.2
Upper bound = μ - 2 × sigma
=69.2 - 5
Upper bound = 64.2
2. The distribution of the heights of young men is approximately normal with mean μ = 69.2 inches and standard deviation of σ = 2.5
The standard score of height of 72 inches is calculated by:
z = (72-69.2)/2.5
z = 2.8/2.5
z = 1.12
Therefore the standard score for the distribution with mean at the height of 6 feet or 72 inches is 1.12.
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g the sequence is decreasing and bounded below by 0. explain in clear english (briefly) why this means it must have a limit.
Since the sequence is always decreasing and cannot go below the lower bound, it becomes increasingly closer to the lower bound, and thus converges to a limit.
A sequence is said to be decreasing if each term is smaller than the previous one, and bounded below if there exists a lower bound such that no term in the sequence is smaller than this bound. In this case, the sequence is decreasing and bounded below by 0.
When a sequence is both decreasing and bounded below, it must have a limit because the terms cannot continue to decrease indefinitely, as they cannot go below the lower bound (in this case, 0). This means that as we progress through the terms of the sequence, the difference between consecutive terms will decrease and eventually approach a constant value.
The limit of a sequence is a value that the terms of the sequence approach as they get closer and closer to the end. In this situation, the limit is the smallest possible value that the sequence can approach, without going below the lower bound.
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Use technology to find the line of best fit for the following data.
(1, 4), (2, 3), (3,5), (4,4), (5,5)
When the equation of the line is in the form y=mx+b, what is the value of **m**?
The value of m, the slope of the line of best fit, is 0.2.
How to find the value of "m" in the equation y = mx + b?
To find the line of best fit and determine the value of m in the equation
\(y = mx + b,\)we can use linear regression analysis with the given data points \((1, 4), (2, 3), (3, 5), (4, 4)\), and \((5, 5)\).
Using technology such as a spreadsheet or graphing calculator, we can input the data points and perform linear regression to find the equation of the line that best fits the data. This analysis will provide us with the values of m and b.
When performing linear regression on the given data, we find that the equation of the line of best fit is\(y = 0.2x + 3.4.\)
Therefore, the value of m is 0.2. This indicates that for every one-unit increase in the x-coordinate, the corresponding y-coordinate will increase by 0.2 units.
Please note that the line of best fit is determined using statistical calculations, and the result may vary slightly depending on the software or tool used for the analysis.
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Help
Please and thank you!
Answer:
so i couldnt get the other answers but i was able to graph it so i hope this helps sorry if i doesnt then i will try to find the answers using another method
Step-by-step explanation:
also i used math.way to get the answers so i really hope this helps
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Answer:
its b and c
bc yes
The properties of equality can be used to rewrite the equations in
simplified form.
Two equations that have the same solution as the given equation are;
\(\underline{2.3 \cdot p - 10.1 = 6.49 \cdot p - 4}\)\(\underline{230 \cdot p - 1010 = 650 \cdot p - 400 - p }\)Reasons:
The given equation is; 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p
Simplifying the above equation by collecting like terms gives;
2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4
2.3·p - 10.1 = 6.49·p - 4Multiplication property of equality:
Both sides of an equation will remain equal, when both sides are
multiplied by the same amount.
Multiplying both sides of the original equation by 100 gives the same
solution as follows;
100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)
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A line has a y-intercept of 8 and a slope of 4. What is its equation in slope-intercept form?
Answer:
y = 4x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 8 , thus
y = 4x + 8 ← equation of line
The equation in slope-intercept form is y = 4x+8
What is the equation of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given that, a line has a y-intercept of 8 and a slope of 4.
We know that, the general equation of a line is given by, y = mx+c
where m is slope and c is the y intercept,
Here, m = 4 and c = 8
Therefore, the equation can be, y = 4x+8
Hence, The equation in slope-intercept form is y = 4x+8
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-4.25 ⋅ (3/10 + 1/5)
Answer: -0.85
Step-by-step explanation:
3/10 + 1/5 = 1/2
1/2 x -4.25 = -0.85
NO LINKS I WILL REPORT!!! But help plssss quick plssss Which of these triangles are definitely not congruent to any of the others?
Check all that apply.
Answer:
C F D
Step-by-step explanation:
Mr. Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke's mean score increased. Which could be Brooke's sixth quiz score? Select three options. 85 90 83 86 92
Step-by-step explanation:
Mean average = (84 + 72 + 90 + 95 + 87) / 5 = 85.6
For the mean score to increase, the new score must be greater than 85.6.
Hence the correct options are 90, 86 and 92.
Answer:
b, d, and e
Step-by-step explanation:
Given the relation R = {(−2, 3), (b, 4), (1, 9), (0, 7)}, what value for b would make this relation NOT a function.
A.8
B.3
C.4
D.0
Answer:
D. 0
Step-by-step explanation:
A function must not have 2 or more first number or X that have the same value.
What is another way to write -8+5?
Answer:
5-8
Step-by-step explanation:
you just had to move the 8 over
can you give me the answer to this question sin y minus cos (y + 20), sin theta minus cos theta equals to 0 cos theta equals to sin theta - 10
Answer:
can you give me the answer to this question sin y minus cos (y + 20), sin theta minus cos theta equals to 0 cos theta equals to sin theta - 10
Step-by-step explanation:
To solve sin y - cos (y + 20) = 0, we can rearrange it as sin y = cos (y + 20).
Then, we can use the identity sin (90 - x) = cos x to rewrite the right side as cos (y + 20) = sin (70 - y).
Substituting this into the equation, we get sin y = sin (70 - y).
Now, there are two possibilities:
y = 70 - y, which gives y = 35 degrees.
y = 180 - (70 - y), which gives y = 105 degrees.
To solve cos theta = sin theta - 10, we can rearrange it as cos theta - sin theta = -10 and then use the identity cos (x - 90) = sin x to rewrite it as -sin (theta - 90) = -10.
Taking the inverse sine of both