Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
For more such questions on triangles, click on:
https://brainly.com/question/17335144
#SPJ8
Suppose that W and X are points on the number line. If WX=6 and W lies at 14, where would X be located? If there is more than one location, separate them with commas.
The value of X is given by the equation ( 8 , 0 ) or ( 20 , 0 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The measure of WX = 6
And , the coordinate of the point W = W ( 14 , 0 )
So , the value of X can be 6 units to the left of W or 6 units to the right of W
Substituting the values in the equation , we get
when it is left of W ,
X = 14 - 6 = 8
when it is right of W ,
X = 14 + 6 = 20
Hence , the coordinate of X can be ( 8 , 0 ) or ( 20 , 0 )
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
A student begins to build a model of a downtown bridge in the city where he lives. He
measures some of the angles formed by the sides of the model.
The student says both x and y are 65. Why is he incorrect? Use the drop-down menus t
explain your answer.
Considering supplementary angles, we have that the measures of x and y are given as follows:
x = 50º.y = 80º.We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.
What are supplementary angles?Supplementary angles are angles whose measures add to 180º.
The three internal angles of a triangle are supplementary, hence we can find x as follows:
90 + 40 + x = 180
130 + x = 180
x = 50º.
Angles x, y and 50º are also supplementary, hence:
x + y + 50 = 180
50 + y + 50 = 180
y = 80º.
The angles with measures x and 40º are complementary, as they add to 90º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
#SPJ1
Answer:
sum up to 130 but not equal
Step-by-step explanation:
Craig has 60 feet of fencing with which to make a rectangular garden area. One side of the rectangular garden will be the side of the Craig's house. Find the length and width for a maximum garden area
The length and width for a maximum garden area is 15 feet by 30 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the side parallel to Craig's house and y represent the other side. One side of the rectangular garden will be the side of the Craig's house. Hence:
2x + y = 60
y = 60 - 2x (1)
Area (A) = xy = x(60 - 2x)
A = 60x - 2x²
The maximum area is at A' = 0, hence:
A' = 60 - 4x
60 - 4x = 0
x = 15
y = 60 - 2(15) = 30
The length and width for a maximum garden area is 15 feet by 30 feet.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
if $x$ is an element of the set $\{ -1, 1, 2 \}$ and $y$ is an element of $\{ -2, -1, 0, 1, 2 \}$, how many distinct values of $x^y$ are positive?
If \($x$\) is an element of the set \($\{ -1, 1, 2 \}$\) and \($y$\) is an element of \($\{ -2, -1, 0, 1, 2 \}$\), the number of distinct values of \($x^y$\) that are positive is 5.
When the base is positive, the exponent produces positive powers.
Now, let's evaluate the power for each possible combination of \($x$\) and \($y$\):
For \($x = -1$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($(-1)^{-2} = 1$\) and \($(-1)^{0} = 1$\).
For \($x = 1$\) and any value of \($y$\), the power of \($x$\) is always positive, and the value of \($x$\) is always 1. Therefore, there's only one possible combination: \($1^y = 1$\).
For \($x = 2$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($2^{-2} = 1/4$\) and \($2^{0} = 1$\)
For \($x = 2$\) and \($y$\) being an odd number, we get a negative power. Here are the possible odd values for \($y$\):
\($y = -1$\) and \($y = 1$\). Therefore, \($x^y$\) is positive for zero possible combinations.
Therefore, the total number of distinct values of \($x^y$\) that are positive is \($2+1+2 = 5$\).
To know more about distinct values refer here:
https://brainly.com/question/28788137
#SPJ11
An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?
Answer:
V = 19200 - 12m
Step-by-step explanation:
The pool contains 19200 gallons of water.
Now we are told that water drains from the pool at the rate of 12 gallons per minutes.
Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.
Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.
Thus, total volume V left after m minutes can be expressed as;
V = 19200 - 12m
I need help answer quickly please this is timed! What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot)
Answer:
3x√5 + 6√10x + 5√3x + 10√6
Step-by-step explanation:
(√3x + √5)(√15x + 2√30)
The above expression can be evaluated as follow:
(√3x + √5)(√15x + 2√30)
Expand
√3x (√15x + 2√30) + √5(√15x + 2√30)
x√45 + 2√90x + √75x + 2√150
Express in the best possible surd form.
x•3√5 + 2•3√10x + 5√3x + 2•5√6
3x√5 + 6√10x + 5√3x + 10√6
We can not simplify further.
Therefore,
(√3x + √5)(√15x + 2√30) =
3x√5 + 6√10x + 5√3x + 10√6
Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
To know more about Probability visit:
brainly.com/question/15124899
#SPJ1
If police and fire are already on an accident scene, how many feet away should you park your ambulance
It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.
This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.
It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.
To know more on ambulance
https://brainly.com/question/30011321
#SPJ4
In a recent poll of 350 likely voters, 42% of them preferred the incumbent candidate. At the 95% confidence level, which of the following would be closest to the margin of error of this statistic?
a. 2.6% b. 4.2% c. 3.7% d. 5.3%
The answer closest to the margin of error is option b: 4.2%.
To determine the margin of error at the 95% confidence level for the proportion of likely voters who prefer the incumbent candidate, we can use the formula:
Margin of Error = (Z * √(p*(1-p))/√n)
Where:
Z is the Z-score corresponding to the desired confidence level (95% corresponds to approximately 1.96)
p is the proportion of voters who prefer the incumbent candidate (42% or 0.42)
n is the sample size (350)
Calculating the margin of error:
Margin of Error = (1.96 * √(0.42*(1-0.42))/√350)
Using a calculator, the closest value to the margin of error is approximately 4.2%. Therefore, the answer closest to the margin of error is option b: 4.2%.
To know more about margin of error refer here:
https://brainly.com/question/29419047
#SPJ11
-1 -3x + 10x -6 -1 please help me
Answer:
-8+7x
Step-by-step explanation:
-1-6-1=-8
-3x+10x=7x
Which angle has a measure equal to the sum of the m∠SQR and the m∠QRS? ∠RSC ∠SRE ∠DQS ∠QSR
angle has a measure equal to the sum of the the question is ∠DQS.
According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.
Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.
Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.
To know more about angle visit:
https://brainly.com/question/31818999
#SPJ11
An accountant used to charge $50 per hour, but recently decided to charge $62 per hour. What was the percent of increase in the billing rate?
Answer:
24%
Step-by-step explanation:
we subtract to see how much it increased
62-50=12
Now divide 12 by 50 to get percent
12/50
0.24
0.24x100
24%
Hopes this helps please mark brainliest
2 3/5 divided by 1 1/25 =?
Answer:
3 16/25
Step-by-step explanation:
2 3/5 ÷ 1 1/25 = 3 16/25
What 1+1 help i'll give 15 points
Answer:
11
Step-by-step explanation:
am so smart
Evaluate the function: f(n)=3n-1 ; f(-1)= ?
Answer:
A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)
Step-by-step explanation:
A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)
Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39
Answer: 65 - $39 = $26 >> amount you save
26 / 65 = 0.4 = 40% >> discount rate
Step-by-step explanation:
HEPPPPO MEEE PLZZZZZZZ
Brooo this is sooo hard please helpppo
Answer:
Step-by-step explanation:
divided by nine ;)
The number of purses a vendor sells daily has the probability distribution represented in the table. Number of Purses, x 0 1 2 3 4 5 P(x) 0.35 0.15 0.2 0.2 0.03 0.07 If each purse sells for $50.00, what is the expected daily total dollar amount taken in by the vendor from the sale of purses? $1.62 $35.00 $79.30 $81.00 $162.00
Answer:
(D)$81
Step-by-step explanation:
Given that the number of purses a vendor sells daily has the probability distribution represented in the table.
Expected Value, \(E(x)=\sum_{i=1}^{n}x\cdot p(x)\)
Therefore:
\(E(x)=(0X0.35)+(1X0.15)+(2X0.2)+(3X0.2)+(4X0.03)+(5X0.07)\\=0+0.15+0.4+0.6+0.12+0.35\\E(x)=1.62\)
If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses
=Expected Value X $50
=1.62 X $50
=$81
The correct option is D.
What percent of 513 is 248
Answer:
48.34%
Step-by-step explanation:
Answer:
48%
Step-by-step explanation:
248/513 is .483430799, so rounded is 48%
Which represents a perfect cube? B + B + 8; 9 * 9 * 9 * 9; 9 + 9 + 9 + 9 + 9
Answer:
what?????????
Step-by-step explanation:
emma advertises a reward for the return of her lost dog. frank, who does not know of the reward, finds and returns the dog. frank cannot recover the reward because he
Frank cannot recover the reward because he was unaware of the reward being offered by Emma.
In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.
To know more about reward,
https://brainly.com/question/14040550
#SPJ11
A researcher identifies college students as a group of interest to test her hypothesis.She then identifies a few local college students and selects a small group of local college students to be observed.In this example,the sample is:
A) not clearly identified.
B) all college students.
C) the few local college students.
D) the small group of college students who are observed.
The sample in this example is D) the small group of college students who are observed. The correct option is D.
The researcher has identified college students as her group of interest, but it is not feasible or practical to observe or study all college students. Therefore, she needs to select a subset of college students, which is known as a sample. In this case, she has chosen to observe a small group of local college students, which is the sample. It is important to note that the sample needs to be representative of the larger population of interest, in this case, all college students, in order for the results to be applicable to the larger group.
While the sample in this example is only a small group of local college students, the researcher would need to ensure that they are representative of all college students in order for the results to be generalizable.
To know more about sample visit:-
https://brainly.com/question/32277048
#SPJ11
If x and y are in direct proportion and y is 12 when a is 3, find y when z is
14.
When two variables x and y are in direct proportion, it means that as the value of x increases, the value of y also increases, and vice versa. In other words, their ratio remains constant. Y is about equal to 18.67 when z equals 14. , when z is 14, y is \(56\) .
What is the direct proportion?If x and y are in direct proportion, then we can use the formula:
\(x / y = k\)
where k is the constant of proportionality. To find the value of k, we can use the given information that "y is 12 when x is 3":
\(3 / 12 = k\)
Simplifying this, we get:
\(k = 1 / 4\)
Now we can use this value of k to find y when z is 14. We know that x and y are still in direct proportion, so we can set up the equation:
\(x / y = k\)
Substituting k = 1/4 and z = x, we get:
\(z / y = 1/4\)
Solving for y, we get:
\(y = 4z\)
Now we can substitute z = 14 and solve for y:
\(y = 4z = 4(14) = 56\)
Therefore, when z is 14, y is \(56\) .
Learn more about proportion here:
https://brainly.com/question/28730073
#SPJ1
The given question is incomplete. the complete question is given below:
If X And Y Are In Direct Proportion And Y Is 12 When X Is 3, Find Y When X Is 14.
If x and y are in direct proportion and y is 12 when x is 3, find y when x is 14.
Tonio works for a website that sells theater tickets and receives a base salary of $18,200 per year. He earns a commission of 2.3% for all ticket sales, which average $15,500 per week. He also gets a "viewed” fee of 3 cents each time someone comes to the website, whether or not any tickets are purchased. The number of visitors to the website averages 12,400 per month a) what is the total commission Tonio will earn this year. b) What is the total amount Tonio earns from visits to the website?c) What are Tonio’s total earnings for the year?
Tonio's salary is composed by:
- A base value of $18,200.
- A commission of 2.3% for all ticket sales, which average $15,500 per week. Hence 52 x 15,500 per year, as a year has 52 weeks.
- Another commission of $0.03 per visitor to the website, which averages 12,400 per month, hence 12 x 12,400 per year, as a year has 12 months.
Then, the total commissions are given by:
T = 0.023x52x15500 + 0.03x12x12400 = 23002
Tonio will earn a total of $23,002 in commissions this year.
Total amount Tonio earns from visits to the website: 0.03x12x12400 = $4464
Tonio’s total earnings: $18,200 + $23,002 = $41202
Simplify using i.
3+2i
———
6+5i
Please help im a bit confused
Answer:
200,000
80,000
9,000,000
10,000,000,000
What is the context of this question?
Step-by-step explanation:
Answer:
So standard form just means 200,000 written as like 200^ something(I think)
Step-by-step explanation:
Solve the equation 3x²- 18x + 7=0 using the quadratic formula.
18² - 4 * 3 * 7 =240
x1 = (-b-root of 240)/2a = ............
x2 =(-b + root of 240)/2a = ........
Gonzalez Manufacturing borrowed $21000. Part of the money was borrowed at 10%, part at 12%, and part at 14%. The total amount borrowed at 10% and 12%
was twice the amount borrowed at 14%. Find the amount borrowed at each rate if the annual interest was $2580
How much money was borrowed at 10%?
How much money was borrowed at 12%?
How much money was borrowed at 14%?
Answer:
10% — $550012% — $700014% — $8500Step-by-step explanation:
You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.
EquationsThe relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...
x + y + z = 21000 . . . . . . total borrowed
0.10x +0.12y +0.14z = 2580 . . . . . . total interest
x + y = 2z . . . . . . . . . . . relationship between amounts
Writing the last equation as ...
x -2y +z = 0
we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...
10% — $550012% — $700014% — $8500__
Additional comment
Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...
x + y = 140000.10x +0.14y = 1740These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)
<95141404393>