Which triangles are congruent by ASA

Which Triangles Are Congruent By ASA

Answers

Answer 1

Answer:

Option B. ΔABC ≅ ΔFGH

Step-by-step explanation:

In the given picture if we compare ΔFGH and ΔABC

side FG = BC

and AB = GH

and angle between them are equal

∠FGH = ∠ABC

Therefore SAS property of congruence is true for these triangles.

Option B. ΔABC ≅ ΔFGH


Related Questions

One of the tallest living trees today is the Mendocino Tree found at Montgomery Woods State Park, California. Its height is about 11,200 centimeters. What is this height in scientific notation?

A. 0.112*10'-4cm
B. 1.12*10'4cm
C. 11.2*10'4cm
D. 1.12*10'-4cm

plz help me i need help
i will make brainiest

Answers

1.12 × 104

(scientific notation)


= 1.12e4

(scientific e notation)


11.2 × 103

(engineering notation)

(thousand; prefix kilo- (k))


11200

(real number)

B. 1.12*10'4cm should be the correct answer.

Final answer:

The height of the tree which is 11,200 centimeters is written as 1.12*10'4cm in scientific notation. The conversion involves placing the decimal point after the first digit and then counting the number of places moved, which forms the power of 10.

Explanation:

The question is asking you to express the height of a tree, which is 11,200 centimeters, in scientific notation. Scientific notation is a way of writing very large or very small numbers into a format that is easier to read and understand. It is formatted as a number between 1 and 10 multiplied by 10 raised to a certain power.

To convert 11,200 into scientific notation, we first place the decimal point after the first digit, which results in 1.12. Secondly, we count the number of places moved. In this case, we moved the decimal point 4 places to the left. Therefore, 11,200 cm is equal to 1.12 × 10^4 cm. So, the correct answer is B. 1.12*10'4cm.

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There are five students of different ages. Their median age is 13 years A) what are two possibilities for the ages of the three oldest students? B) if each student is a different age, how many students must be younger than 13? C) in complete sentences, describe what a median is to another student in the class. Pretend that the student was absent the day you learned about medians.

Answers

A) the median is the middle measurement. Their ages could be 13, 14 and 15.
B) 2 students must be younger than 13
C) Like I said, the median is the middle measurement. If you have a list of numbers, you have to order them and take the middle number.

:) Have a nice day and maybe consider grading this answer brainliest? <3

The answers are explained in the solution.

What is median?

Median in statistics is the middle value of a list of data when arranged in order. It is a measure of central tendency that separates the data into two halves: the upper half and the lower half.

Given that there are five students of different ages. Their median age is 13 years,

A) What are two possibilities for the ages of the three oldest students?

Answer = The median is the middle measurement. Their ages could be 13, 14 and 15.

B) If each student is a different age, how many students must be younger than 13?

Answer = 2 students must be younger than 13.

C) Describe what a median is to another student in the class?

Answer = Since the median is the middle measurement.

If you have a list of numbers, you have to order them and take the middle number.

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A businessman has 10 employees; his salary is equal to 6 times the average of employees' salary. If the 11 of them received a total of 64000 in a one year, what was the businessman's salary that year?

Answers

Let [tex]x[/tex] be the average salary of an employee. Since the salary of the business man is 6 times the average salary of an employee, his salary will be [tex]6x[/tex]. We also know that the sum of the salary of the businessman and the average salaries of his 10 employees is 640000, so:
[tex]6x+10x=64000[/tex]
Solving for [tex]x[/tex]:
[tex]16x=64000[/tex]
[tex]x= \frac{64000}{16} [/tex]
[tex]x=4000[/tex]
The average salary of an employee is 4000, so the salary of the businessman will be [tex]6*4000=24000[/tex].

We can conclude that the business man's salary that year was 24000.


On a skiing trip there are five people but only three pairs of skis how many different groups of three could ski

Answers

10 different groups can ski.

This is a combination of 5 items taken 3 at a time:
[tex]_5C_3=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{120}{12}=10[/tex]

Which of theses are log functions?

Answers

The correct answer for the exercise shown in the figure attached, is the first option, which is:

 y=log3(x)

 The logarithmic functions are the inverse of the exponential functions and they have the following form:

 y=logb(x) 

 Therefore, as you can see, the function that has the form of a logarithmic function, is the first option.

The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your answer to the nearest whole number.

Answers

First, we want to convert 700 feet to inches:700 feet (12 inches/ft) = 8400 inchesWe know that the diameter is 16 inches, so the circumference is 16π inches or 50.3 inches.We can divide 8400/50.3 to get about 167.1 rotations.

The height of a ball in feet is modeled by
[tex]y = - 16x {}^{2} + 72x[/tex]
where X is the time in seconds after the ball is hit. How long is the ball in the air?

(May I also get steps on how to solve these kind of questions please?)

Answers

The answer to this question is 4.5 seconds. You can see from the graph that the ball is above the ground in the interval 0 < t < 4.5. It is at t = 4.5 where the graph touches the t-axis. When it touches the t-axis, then the height is 0 and therefore on the ground.

The value of time of the ball in the air is,

⇒ 4.5 seconds

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The height of a ball in feet is modeled by the equation,

y = - 16x² + 72x

where, x is the time in seconds after the ball is hit.

Hence, For time of the ball in the air, we can plug y = 0 in above equation.

y = - 16x² + 72x

0 = - 16x² + 72x

Solve for x;

- 16x² + 72x = 0

- 4x (4x - 18) = 0

This gives,

4x = 18

x = 18/4

x = 4.5 seconds

Thus, The value of time of the ball in the air is,

⇒ 4.5 seconds

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Mary Alice is trying to answer the question. How many siblings does each member of her 30 person Biology class have. What is the best way to determine this?

A) Take a sample of 10 members of the class and then find the mean of the responses.

B) Survey each member of her 30 person class to determine how many siblings each person has.

C) Take a survey from the entire school and then look at the responses from students in a Biology class.

D) Look at the school enrollment roster to see how many siblings each member of the class has at the school.

Answers

B
The other answers wouldn't help that much. 

B) Survey each member of her 30 person class to determine how many siblings each person has.

choose the equation that is the standard form of
5y=3-2x
5y-3=-2x 2x+5y=3
2x+5y-3=0
hint the standard form of a linear equation is Ax+By=C

Answers

For this case we have the following equations:
 5y = 3-2x
 5y-3 = -2x
 2x + 5y = 3
 2x + 5y-3 = 0
 The standard form of the equations is given by:
 Ax + By = C
 Therefore, the equation written in its standard form is:
 2x + 5y = 3
 Where,
 A = 2
 B = 5
 C = 3
 Answer:
 
The equation that is the standard form is:
 
2x + 5y = 3

Just say answer, no need to explain. Thanks

Answers

For this case we have the following function:
 f (x) = x ^ 3
 We have the following information:
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 f (x) = (x + 5) ^ 3
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 f (x) = (x + 5) ^ 3 + 4
 Answer:
 
f (x) = (x + 5) ^ 3 + 4
 
option B

Kimela’s little sister likes to swing the playground. Yesterday, Kimela pulled the swing back and let it go. The swing traveled a distance of 9 feet before heading back the other way. Each swing afterward was only 70% as long as the previous one. Find the total distance the swing traveled.

Answers

it went 6.3 feet every other swing cause 70% of 9 is 6.3

To find the total distance traveled by the swing, we use the sum of an infinite geometric series formula with the first swing distance being 9 feet and a common ratio of 0.7. The sum equals 30 feet, indicating the total distance the swing traveled.

The question involves finding the total distance traveled by a swing that starts with an initial swing length and then decreases by a certain percentage with each subsequent swing. It can be classified as a series problem in mathematics, specifically dealing with a geometric series.

First swing distance is 9 feet. Each subsequent swing is only 70% of the previous, which means the ratio is 0.7. We want to find the sum of this geometric series. The total distance traveled by the swing is the sum of the distances traveled in each direction, so the swing's distances form an infinite series. To find the total distance traveled, we use the formula for the sum of an infinite geometric series:

S = [tex]\frac{a}{1-r}[/tex]

where S is the sum of the series, a is the first term, and r is the common ratio (in this case, 0.7). Plugging in the values, we get:

S = [tex]\frac{9 feet }{(1 - 0.7)}[/tex] = 9 feet ÷ 0.3 = 30 feet

Hence, the total distance traveled by the swing is 30 feet.

A scatterplot has a negative, linear correlation. Which statement is true about the relationship between the x- and y-values?

A) As the x-values increase, the y-values tend to increase.

B)As the x-values increase, the y-values tend to decrease.

C)As the x-values decrease, the y-values tend to decrease.

D)As the x-values decrease, the y-values tend to vary randomly.

Answers

Answer:

B

Step-by-step explanation:

as the x values increase, the y values tend to decrease

For the Scatter plot negative  the x-values increase, the y-values tend to decrease.

What is Scatterplot?

A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions. The function notation is the only distinction. It is also important to understand an ordered pair expressed in function notation. When an is an independent variable on which the function depends, the expression f(a) is referred to as a function.

Given

A scatterplot has a negative, linear correlation.

Which is  negative correlation means that with the increase/decrease in one variable the other variable also decrease/increase,

in which their is inverse proportion between two variables.

so values of x increase and values of y tend to decrease.

Hence option B is best suitable answer.

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Which table shows the function y = -2x + 4? A) x y 0 4 1 2 2 0 B) x y 1 25 2 26 3 27 C) x y 0 -4 1 -2 2 0 D) x y -1 6 -2 8 -3 12

Answers

The answer is A.

From looking at the A graph, you must plug in the x variable into y = -2x + 4.

y = -2(0) + 4 = 4
y = -2(1) + 4 = 2
y = -2(2) + 4 = 0

what is the simplest form of this expression -x(7x+2)+x^2

Answers

For this case we have the following expression:
 -x (7x + 2) + x ^ 2
 Rewriting we have:
 (-7x ^ 2 -2x) + x ^ 2
 Adding similar terms we have:
 -6x ^ 2 - 2x
 Answer:
 
The simplified expression is given by:
 
-6x ^ 2 - 2x
 The answer would be  -6x ^ 2 - 2x
Equation:
=-x (7x + 2) + x ^ 2
 =(-7x ^ 2 -2x) + x ^ 2
Add similar terms,
 -6x ^ 2 - 2x

 
The simplified expression is given by:
 
-6x ^ 2 - 2x

Plzz help me im going to most more like this because im not understanding it

Answers

Hi there!

In order to solve, you can use substitution. This means that you use one equation and solve for one variable, then use that one equation and plug it into the other equation. Here's how we'd do it:

WORK:
x = 12 - y (since x is already solved for, we'll use that to plug into the other given equation.
2(12 - y) + 3y = 29 (using substitution)
24 - 2y + 3y = 29
24 + y = 29
y = 5
Plug the value of y back into the first equation
x = 12 - 5
x = 7

ANSWER:
A - x = 7, y = 5

It seems as though you're having some trouble with these questions, PLEASE MESSAGE ME!! I'd be more than happy to help you work through as many problems as you need until you get the hang of it (plus, it doesn't cost you any points!)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Choose the justification for each step in the solution for equation 6X -9 equals 45

Answers

whats the question i cant see it

6x-9=45 is the answer

What is the median out of 55,85,95,100,105,122,158,162,165,174

Answers

The answer is 122.1.
113.5 because I said so and you better believe me.

The volume of a cube is 8 cubic units. What is the length of each edge? Explain how u know.

Answers

The volume of a cube is a side squared. If you square root the volume, you will get the length of a side, or edge.

Each edge is √8.

√8 = 2.83 units
The answer would be 2. To find the volume you have to do V = a^3 and 2^3 is 8. So that's your answer

1. Which graph models the equation y = 3.5x?
2. Determine the equation of the line given by the graph.
A)y = 3x + 2(Wrong, I'm retaking the test)
B)y = 3x − 2
C)y = 1/3x + 2
D)y = 1/3x − 2
3.Determine the equation of the line given by the graph.
A)y = 2/3x - 1
B)y = 3/2x - 1
C)y = -2/3x - 1(Wrong, retaking)
D)y = -3/2x - 1
4.Determine the equation of the line given by the graph.
A)y = 5/3x - 4
B)y = 3/5x - 4
C)y = -5/3x + 4
D)y = -3/5x + 4


Answers

1) is C because the line is increasing not decreasing and it goes up 7 & right 2.
2) the y-intercept is -2 and the slope is up 3 over 1, so the answer has to be B
3) the answer is A because the up 2 over 3
4) the y-intercept is a positive 4, and the slope is going down 3 and to the right 5, and the line is decreasing so you know it has to be negative. the answer is D

Mr. Grayson owns a wood company that sells trees, wood materials, and specialty items created from wood. (Score for Question 1: ___ of 4 points)

1. One of Mr. Grayson’s customers, Zenani, is creating an art wall on which she will display some art in triangular frames. She wants three frames, each in the shape of a right triangle.
(a) For the first frame, Zenani already has two wooden pieces that are 13 in. and 16 in. long. Zenani says that since she wants the frame to be a right triangle, there’s only one possible measurement for the last piece of wood. Is Zenani right? If so, what is that last measurement? If not, explain why not and give all possible measurements for the last wood piece. Round to the nearest tenth.
(b) For the second frame, Zenani asks Mr. Grayson to double the measurements of the first triangular frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy work for the second frame? Explain why or why not.
(c) For the third frame, Zenani asks Mr. Grayson to add the same measurement to each of the sides of the original triangle frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy work for the third frame? Explain why or why not. Answer:   (


Score for Question 2: ___ of 4 points) 2.

Mr. Grayson gets a request from a customer to buy a palm tree of a specific height. Mr. Grayson’s tree nursery is very large and is organized by a coordinate plane map system. He finds a palm tree that he thinks might meet the customer’s specifications. The tree is located at coordinates . He calls his assistant to come over to help him determine the height of the tree. He asks his assistant where she’s located. His assistant says she is located at . Each unit on the coordinate grid represents 1 ft. How far is Mr. Grayson’s assistant from the tree? Round to the nearest tenth. Show your work. Answer:  


(Score for Question 3: ___ of 3 points) 3.
Mr. Grayson orders a box that has a volume of . The box is in the shape of a cube. What is the longest stick that can fit in the box? Round your answers to the nearest whole number. Answer:  


Please answer All of the questions to get the points

Answers

Question 1:
A) No; 9.3 or 20.6.
B) Yes, because the triangles are similar.
C) No, because the triangles will not necessarily be similar.

There is not enough information to answer Questions 2 or 3.

Explanation for Question 1:
A) We are not told which side is the longest, so these two sides could be placed anywhere in the Pythagorean theorem.  They could either be both legs, or one could be the hypotenuse:

Hypotenuse: 13² + b² = 16²
                     169 + b² = 256
                     169 + b² - 169 = 256 - 169
                      b² = 87
                      b = √87 = 9.3

Both legs:   13² + 16² = c²
                   169 + 256 = c²
                   425 = c²
                   √425 = c
                   20.6 = c

B) The two triangles will be similar, since each pair of corresponding sides will have the same ratio (2, since it is doubled).  Similar triangles have the same angle measures, so this must also be a right triangle.

C) Simply adding a value to each side will not preserve similarity.  For example, if we had a triangle with sides 3, 4, and 5, adding 2 to each side would give us 5, 6 and 11.  These do not have the same ratios; 3/5 is not the same as 4/6 or 5/11.

IF 3 QUARTS IS DIVIDE BY 16 PEOPLE HOW MANY OUNCES

Answers

6oz each person. Sorry i need more characters
Turn quarts to ounces which becomes 96 ounces divided by 16 people will give you 6 ounces each.

Need help please....

Answers

The answer is A, hope i helped. Mark me as brainliest?
The answer is A.

When setting up a proportion, it doesn't really matter which numbers go where, as long as you are consistent.

A is the correct answer because it is set up as width/length = width/length. So when you solve for the missing length, you are finding what value of x will make 9/x the same ratio as 10/12.

Hope this helps!




An object moves on a conveyor belt at a speed of 60 inches per second. Explain how you could conver the speed to feet per minute

Answers

We know that 1 foot = 12 inches and 1 minute = 60 seconds, so to convert 60 inches per second to feet per minute, we are going to multiply [tex]60 \frac{in}{sec} [/tex] by [tex] \frac{1ft}{12in} [/tex] and [tex] \frac{60sec}{1min} [/tex] to cancel units and express our answer in feet per minute:
[tex]60 \frac{in}{sec}* \frac{1ft}{12in}*\frac{60sec}{1min} =300 \frac{ft}{min} [/tex]

We can conclude that after converting 60 inches per second to feet per minute, we get 300 feet per minute.

A coin is flipped five times. Find the number of possible sets of heads and tails that have 2 heads. a. 0 c. 5 b. 1 d. 10

Answers

There is a possibly of getting tails is 5 and the chance of getting heads is 5 as well

   D. The amount of possible sets is C(5,2), which is equal with 10.

A spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times. The results are shown in the table. Are all outcomes equally likely according to the results of the experiment?

Answers

Answer:

The answer is D.) No its seems more likely to spin a blue or red than a green or a yellow

Step-by-step explanation:

No, it seems more likely to spin a blue or red than a green or yellow. According to the probability model, red and blue are landed on more often.

No, all outcomes equally likely according to the results of the experiment seems more likely to spin a blue or red than a green or a yellow

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

Given , spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times.

The results are shown in the table.

Color      Frequency

Red            18

Blue            11

Green          8

Yellow         4

Purple          19

Total spin recorded = 25

Probability that the next spin will land on red or green or purple will be P(A∪BC) = P(A) + P(B) + P(C)

P(A∪BC)  = 0.3 + 0.134 + 0.32 =0.754

= 75%

No, all outcomes equally likely according to the results of the experiment seems more likely to spin a blue or red than a green or a yellow

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What is the apparent solution to the system of equations? y= -2x +3, y=1/3x - 4. Graph the system of eqiations

Answers

the answer to this question is (3,-3)

I WILL MARK BRAINLIEST!!!!!!!!!!

What is the length of segment AB?

A. 10
B. 12
C. 13
D. 15

Answers

the answer is letter C
it would be 12 !
considering you have to go up by two each unit; having to go up 6 boxes, then times two for what its counting by, would give you 12 !

how do I find the depth to this rectangular prism

Answers

The depth is 1 inch because 4 smaller side lengths make up one inch, and because the overall cube goes back 4 smaller side lengths.

The same applies for the height as well.

Plsssssssss help i willmark brainliest

Answers

B : 4 x 12 inch strings and 2 x 8 inch strings
C : Add all the lengths = 84

Question 5 Unsaved
What is the equation for the sum of four consecutive numbers totaling 86.

Question 5 options:

4n=86

n+4=86

n+n+1+n+2+n+3=86

n+n+2+n++4+n+6=86

Answers

The key to solving this problem is to represent the four consecutive numbers correctly.  They are x, x+1, x+2 and x+3.  Add them up and equate the sum to 86.

"The correct equation representing the sum of four consecutive numbers totaling 86 is [tex]\( n + (n+1) + (n+2) + (n+3) = 86 \).[/tex]

To solve this problem, let's denote the first of the four consecutive numbers as n  

The sum of these four consecutive numbers is given by the equation:

[tex]\[ n + (n+1) + (n+2) + (n+3) = 86 \][/tex]

Now, let's simplify this equation by combining like terms:

[tex]\[ 4n + 1 + 2 + 3 = 86 \][/tex]

[tex]\[ 4n + 6 = 86 \][/tex]

Subtract 6 from both sides to isolate the term with n

[tex]\[ 4n = 86 - 6 \][/tex]

[tex]\[ 4n = 80 \][/tex]

Now, divide both sides by 4 to solve for n

[tex]\[ n = \frac{80}{4} \][/tex]

[tex]\[ n = 20 \][/tex]

So, the first number in the sequence is 20.

The four consecutive numbers are 20, 21, 22, and 23, and their sum is indeed 86.

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