I will mark you brainiest!
Which of the following similarity statements about the given triangles is correct?
Answers
The ratio of the sides of triangles are equal.
Define the term Similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. To be more specific, two triangles are comparable if their respective sides are proportionate and their corresponding angles are congruent. In other words, the ratios of the lengths of corresponding sides of two similar triangles are equal.
Two triangles are similar if corresponding angles are congruent and corresponding sides are proportional.
Here both the triangles are similar. ∆AHL ≈ ∆NKG because of;
the ratio of the sides of triangles are equal;
AH/NK = HL/KG = AL/NG
4/3 = 8/6 = 20/15 (all ratio are equal which is 4/3)
So, we can say that both the triangles are similar, ∆AHL ~ ∆ NKG.
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Similar triangles are described as having the same form but varying sizes. Two triangles are said to be comparable if their corresponding angles are congruent and their corresponding sides are proportional.
Define the term Similar triangles?The ratios of the lengths of the respective sides of two similar triangles are equal, in other words.
If the sides and angles of two triangles are proportional to one another, then the triangles are comparable.
Here both the triangles are similar. ∆AHL ≈ ∆NKG because of;
the ratio of the sides of triangles are equal;
AH/NK = HL/KG = AL/NG
4/3 = 8/6 = 20/15 (all ratio are equal which is 4/3)
So, we can say that both the triangles are similar, ∆AHL ~ ∆ NKG.
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Related Questions
The perimeter of the triangle shown is 225 feet, find the length of each side
X feet = How many Feet?
5x feet = how many feet?
(6x - 3) feet = for many feet?
Answers
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
Simplify 3^2 • 3^5. PLZ HELP FAST WILL GIVE BRAINLIEST
Answers
Answer:
1 2/13
Step-by-step explanation:
Explanation: have a good day/night :)
Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
Answers
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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help mee please!!
thank you
Answers
A rectangular pyramid is shown in the figure.
A rectangular pyramid with a base of dimensions 7 centimeters by 5 centimeters. The two large triangular faces have a height of 7.6 centimeters. The two small triangular faces have a height of 8 centimeters.
What is the surface area of the pyramid?
Answers
The surface area of the pyramid is 113 cm².
What is rectangular pyramid?A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.
The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.
To find the surface area of the pyramid, we need to find the area of each face and then add them up.
Area of the base:
The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:
Area of base = length × width = 7 cm × 5 cm = 35 cm²
Area of the four triangular faces:
Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:
Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²
Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²
There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:
Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face
= 2 × 19 cm² + 2 × 20 cm²
= 78 cm²
Total surface area:
Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:
Total surface area = area of base + total area of four triangular faces
= 35 cm² + 78 cm²
= 113 cm²
Therefore, the surface area of the pyramid is 113 cm²
.
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Graham wrote the system of equations.
6x−8y=−16y=34x+8
What is true about the system of equations that Graham wrote?
A
It has no solution.
B
It has 1 solution.
C
It has 2 solutions.
D
It has infinitely many solutions.
Answers
Answer:
B
Step-by-step explanation:
6x -8y = - 16y
6x = -8y
8y = 17x + 4
-8y = -17x - 4
6x = -17x - 4
23x = -4
x = -4/23
Can someone help me? A: How long did it take Diane to complete her route on Thursday if, on average, it took her 46 minutes?
Answers
Answer: B.) 43
I just did it on usatestprep and I got 43
Step-by-step explanation:
The solution is Option B.
The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M = 46 minutes
The time it took for Diane to complete her route on Thursday be T
Now , the total time for all the 7 days be represented as S
And , the value of S is
S = 58 + 39 + 42 + 46 + T + 49 + 45
S = 279 + T
Substituting the values in the equation , we get
Mean = Sum of Values / Number of Values
46 = ( 279 + T ) / 7
Multiply by 7 on both sides of the equation , we get
322 = 279 + T
Subtracting 279 on both sides of the equation , we get
T = 322 - 279
T = 43 minutes
Hence , the value of T is 43 minutes
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How many
tenths are there in 2 2/5
Answers
Answer:
0.4
Step-by-step explanation:
4
Help please anyone ?!!!!!
Answers
Answer:
Step-by-step explanation:
bh= (2x-6)(x-2)
expand this
2x^2 -10x+12
since formula is 1/2 bh then halve the values
x^2-5x+6
NEED HELP ASP Find the common difference of the arithmetic sequence -8, -15, -22, ...
Answers
Answer:
-7
Step-by-step explanation:
To find the differences in a sequence, subtract the term before:
-15 -(-8) = -7
-22 -(-15) = -7
These differences are the same, so constitute the "common" difference.
The common difference of the sequence is -7.
Please help!!! Will give brainliest!!! The answer options are
A. When they each make 10 calls
B. When they each make 8 calls
C.when they each make 6 calls
D.When they each make 2 calls
Answers
Answer:
A
Step-by-step explanation:
It is A, when they each make 10 calls.
This is because on the graph, you can see that they meet up (after the y-intercepts) at the x-axis of 10.
Hope this helped!
What is the common ratio in the geometric sequence: 12, 3, 3/4 …….
Answers
Answer:
1/4
Step-by-step explanation:
to find the ratio:
3/12 : (3/4)/3
1/4 : 1/4
term2/ term1 : term2/term3
14. If you need to travel 576 miles in 8 hours, what rate should you maintain?
d=rt
Answers
Answer:
72 miles per hour
Step-by-step explanation:
what you would need is 72 miles per hour
because 576 miles
8 hours
= 72 miles
what is the image point of (3,9) after a translation right 3 units and up 1 unit.
WILL GIVE BRAINLIEST IF U GET IT RIGHT
Answers
Answer:
4,6
Step-by-step explanation:
Answer:
The answer would be (6, 10).
Which is a factor of 144 - 49x²?
O 12-7x²
O 72-7x²
O 12-7x
O 72 + 7x
Answers
Answer: C: 12-7x
Step-by-step explanation:
This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.
Any difference of two squares \(a^2-b^2\) can be factored into the sum of their square roots times the difference of their square roots \((a+b)(a-b)\).
Let's factor our expression.
\(144-49x^2=(12+7x)(12-7x)\)
Out of all the options given, only \(12-7x\) is a factor. Hence, option C is correct.
Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup. How many grams of 25% sugar syrup did Samantha use?
Answers
Answer:
120-x
Step-by-step explanation:
For me in class there were 6 parts to this problem and this problem is the same in my class so I will add all the answers
So for how many grams of 25% syrup it will be 120-x because the some amount + x = 120 grams of 15% syrup
so 120-x = the some amount of syrup.
This will be the answer for the problem you were asking for
If you have 6 parts keep scrolling since I will supply some more answers
Next part: How much pure sugar is in the 25% syrup?
For the amount of pure sugar there is in the 25% syrup
that will equal 0.25(120-x) = 30-0.25x
Next: How much sugar is in 120 grams of 15% sugar syrup?
10% of 120 is 12
5% = 12/2 = 6
12+6 = 18
Now the earlier stuff from the problem will come in handy
use the previous answers to write an equation
0.25(120-x)+0.10x=18
= 30-0.25x+0.10x=18
30 -0.15x=18
Now the final part to solve the equation and find the 10% solution and the 25% solution
-0.15x=18-30 = -12
-0.15x=-12
x= -12/-0.15
x=80
the problems not done yet though
we need to find the 25% solution
25% solution = 120-x and x = 80
120-80 = 40
The 10% solution is 80 grams and the 25% solution is 40 grams
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
Answers
6 pounds * $1.50 per pound = $9
Then, we can subtract the discount:
$9 - $2 = $7
Since Nicole and her friend split the cost evenly, we can divide $7 by 2:
$7 / 2 = $3.50
Therefore, each of them paid $3.50 for the apples.
The expression that can be used to determine this is:
($6 * $1.50 - $2) / 2 = $3.50
where $6 is the total cost of 6 pounds of apples at $1.50 per pound and $2 is the discount
The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8. Determine the mean of the lengths. Mean (in tenths of millimeters) Round your answer to two decimal places (e.g. 98.76).
Answers
Answer:
The mean of the lengths is 0.35 tenths of millimeters
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and it's mean is given by:
\(M = \frac{a+b}{2}\)
The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8.
This means that \(a = 0, b = 590.8 - 590.1 = 0.7\)
So, the mean is:
\(M = \frac{a+b}{2} = \frac{0 + 0.7}{2} = 0.35\)
The mean of the lengths is 0.35 tenths of millimeters
1. Jamar has two bowls of fruit from which he can choose a
snack when he gets home from school. One bowl has 1 yellow,
1 red, and 2 green apples. The other bowl has 5 each of
boysenberries, strawberries, blueberries, and blackberries.
What is the probability that he gets a yellow apple and a
boysenberry when he reaches into the bowls?
Answers
Answer:
One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.
Step-by-step explanation:
10. The steps to solve 1 < 3x +5
Answers
Answer:
-1.33333 < x
Step-by-step explanation:
subtract 5 from both sides
get -4<3x
divde 3 by both sides
-1.33< x
Hi, there!
_______
The first step is:
» Subtract both sides by 5
\(\sf{-4 < 3x}\)
Now divide each term by 3:
\(\sf{-\dfrac{4}{3} < x}\)
We can flip it over:
\(\sf{x > -\dfrac{4}{3}}\)
Hope the answer - and explanation - made sense,
happy studying!!
there are 72 students in pe.12 students well be in a team.how many teams can be formed
Answers
Answer:
6 teams
Step-by-step explanation:
72/12 = 6
Which
pair of triangles can be proven congruent by SAS?
Answers
Two triangles that are congruent using SAS.
SAS = Side Angle Side
The two triangles in option B are congruent by SAS.
Option B is the correct answer
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two triangles that are congruent using SAS.
SAS = Side Angle Side
Now,
The two triangles in option B are congruent by SAS.
There are two sides that are equal in each triangle.
There is one angle that is equal in each triangle.
Thus,
The two triangles in option B are congruent by SAS.
Option B is the correct answer
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Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many miles did Mark run in each track meet write answer in a mixed number
Answers
Answer:
16\(\frac{43}{52}\)
Step-by-step explanation:
875/52 = 16\(\frac{43}{52}\)
PLEASE HURRY DUE TODAY WILL MARK BRAINLESTIS RIGHT
what is √29 Place a dot on the number line at the BEST approximation
Answers
Answer:
5.4
Step-by-step explanation:
square of 29 = 5.385164807
5.385164807 estimated is 5.4
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answers
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
select the option for "?" that continues the pattern in each question
3,-6, 12, 4, 20
13
14
6
16
Answers
Answer:
The next number in the sequence is: 13
Step-by-step explanation:
So we start with 3, then the pattern is:
subtract 9, add 18, subtract 8, add 16, subtract 7, add 14...
If we apply this to the pattern we can see that it works. You should be able to continue the pattern if needed.
Who’s good at geometry doing angles and naming them
Answers
Answer:
Step-by-step explanation:
1). Angle BFC and angle DFE,
Vertical angles.
2). Angle BFA and angle DFE,
Neither
3). Angle BFC and angle CFD,
Linear pair of angles.
4). Angle AFE and angle AFC,
Linear pair of angles.
5). Angle BFE and angle CFD,
Vertical angles.
6). m∠AFB + m∠AFE + m∠EFD = 180° [Linear angles]
Since, m∠AFB = m∠EFD = 50°
Therefore, 50° + m∠AFE + 50° = 180°
m∠AFE = 180 - 100
= 80°
7). m∠DFC = m∠BFE [Vertical angles]
m∠BFE = m∠BFA + m∠AFE
= 50° + 80°
= 130°
Therefore, m∠DFC = 130°
Ethan had planned to visit his local post office on Saturday to exchange $400
or euros. The exchange rate for that day was $1 = 1.25 E
However, due to unforseen circumstances, Ethan arrived at the post office after
it closed on that day. He therefore had to wait until the following Monday to
exchange his $400 for euros. The exchange rate on Monday was $1 = 1.20 E
a) How many fewer euros did he receive due to this delay? |20
b) What percentage loss was caused by this delay?
Answers
The amount of fewer euros he would receive as a result of the delay is 20 E.
The percentage loss that was caused by the delay is -4%.
What is the fewer euros received and the percentage loss?
Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.
Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday
Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E
Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E
Difference = 500 E - 480 E = 20 E
Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1
Percentage loss = (480 / 500) - 1 = -0.04 = -4%
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A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?
Answers
Answer:
$3,951
Step-by-step explanation:
The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...
2^(13/6) ≈ 4.489848
Its value will be ...
$880·4.489848 ≈ $3,951
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.? Enter your answer in the box. degrees
PLZ HELP!!!! 50 POINTS !!!!
Answers
Answer:
Step-by-step explanation:
the rate is -4.2, so after an hour the temperature would be -4.2 degrees