Triangle FGH is similar to JKM.
If f = 14.4 cm, g = 16.56 cm, h = 25.92 cm, and k = 9.2 cm, what is the measure of m?
A. 5.104 cm
B. 14.4 cm
C. 10.58 cm
D. 8 cm
Answers
so we can find the scale that FHG was dilated by.
[tex]16.56 \div 9.2 = 1.8[/tex]
so the sides of the triangle KMJ were multiplied by 1.8.
to find m :
[tex]25.92 \div 1.8 = 14.4[/tex]
m=14.4
hope this helps
Related Questions
How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts? 75p + 150(10) = 100(p + 10) 75(p + 10) + 150(10) = 100(p + 10) 75p + 150 = 100(p + 10)
Answers
75p + 150(10) = 100(p + 10)
Explanation:Mixture problems such as this can be solved by writing an equation that expresses the total cost of the mixture in terms of the costs of the constituents.
Here, the cost (in cents) of p pounds of cashews will be 75p. The cost (in cents) of the 10 pounds of pecans at $1.50 per pound will be 150(10). The total cost of p+10 pounds of the mixture is desired to be 100(p+10).
The equation of the 1st selection is appropriate. It tells that the prices of the contributing nuts add to give the price of the mixture, just as you want:
75p + 150(10) = 100(p+10)
The correct equation to solve for the pounds of cashew nuts, denoted as p, that must be mixed with pecans to get a mixture worth $1.00 a pound is: 75p + 150(10) = 100(p + 10).
We are trying to determine how many pounds of cashew nuts that are worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to create a mixture worth $1.00 a pound. Let's denote the pounds of cashew nuts needed as p. The respective values of each type of nut are included in calculating the total value of the mix. Therefore, the value of the cashews (at 75 cents per pound) plus the value of the pecans (at $1.50 per pound) should equal the value of the desired mixture (at $1.00 per pound). The correct equation to use would be:
75p + 150(10) = 100(p + 10)
To solve for p, we multiply the cost per pound by the weight for each type of nut, then equate this to the cost per pound of the mixture multiplied by the total weight of the mixture. After solving this equation for p, we will know the required pounds of cashew nuts.
What is an equation of a line that is perpendiculauation is 2y=3x-10 and passes through -6,1?
Answers
3(y -1) = -2(x +6)
12+34+23+9424482+398+42+489+92+12+3+423+1=?
Answers
PLEASE MARK AS BRAINLIEST.
12+34= 46
23+9424482= 9,424,505
398+42= 440
489+92= 581
12+3= 15
423+1= 424
Then add up the answers, but we are going to break it down too.
46+ 9,424,505= 9,424,551
440+ 581= 1021
15+424= 439
Next, you add the answers to that, but we are going to break it down
1021+439= 1460
Finally, we are going to add that answer to 9,424,551
9,424,551+1460= 9,426,011
So the answer is 9,426,011
–13.5a + 34.12b + 65.5a – 32.5b – 35.8a
A.
32.5a + 20.47b
B.
16.2a + 1.62b
C.
–18.7a – 26b
D.
1.62a + 16.2b
Answers
Answer:
the answer is C
Step-by-step explanation:
Answer:
The Answer is not C
Step-by-step explanation:
if you simplify your problem, it should not come out as C. if so, you did it wrong.
Which of the following terminating decimals is equivalent to -1 3/4
?
Answers
Answer:
→ The decimal expansion of rational number is either terminating or non terminating repeating.
→If the denominator of rational number is of the form [tex]2^a \text{or} 5^b \text{or} 2^a \times 5^b [/tex] , then the decimal terminates.
[tex]\rightarrow -1 \frac{3}{4}=\frac{-7}{4}\\\\=-1.75[/tex]
If f(x) is a linear function, what is the value of n?
Answers
Answer:
Option C. 13
Step-by-step explanation:
Since f(x) is a linear function then we can rewrite the function in the form of an equation y = mx + c
where m is the slope of a line.
Since line passes through two points (3, 7), (9, 16)
Therefore m = (16 - 7)/(9 - 3) = 9/6 = 3/2
Now we know a point (16, 26.5) also lie on the line so by putting the values of m, x, and y in the equation.
y = 3x/2 + c
26.5 = 3×16/2 + c
c = 26.5 - 24 = 2.5
So the equation is y = 3x/2 + 5/2
y = 1/2(3x + 5)
If a point (7, n) lies on the line then
n = 1/2(3×7 + 5) = 1/2(21 + 5) = 26/2 = 13
Therefore n = 13 is the answer.
How many 2 digit numbers can you make using the digits 1,2,3,4 without repeating the digits
Answers
If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest would you expect Lucy to be charged in a typical month?
Answers
General Idea:
[tex] Amount \; Charged \; in \; a \; Month \; = \; Monthly \; Interest \; Rate \; \times Typical \; Creditcard\; Balance\\ \\ [/tex]
[tex] Amount \; Charged \; in\; a\; month =\frac{18\%}{12} \times 650 \; = 0.015\times650=9.75 [/tex]
Conclusion:
Amount of interest that Lucy to be charged in a typical month is $9.75
A number divided by three less two is at most two
Answers
3-2 = 1
x/1 ≤ 2
X ≤ 2
The required number would be x ≤ 2 which represents the number divided by three less two is at most two.
What is inequality?Inequality is defined as mathematical statements with at least two terms including non-equal variables or integers.
What is algebra?
Algebra is the study of mathematical symbols, whereas logic is the manipulation of those symbols.
The number divided by three less two equals the number specified in the question.
Let the required number would be x
As per the given condition, translate the phrase into an algebraic inequality as:
⇒ x/(3 - 2) ≤ 2
Apply the subtraction operation, and we get
⇒ x/1 ≤ 2
⇒ x ≤ 2
Therefore, the required number would be x ≤ 2.
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Help please!!!!!!!!!
Answers
If the exponents on the highest variable are the same in the horizontal asymptote is the division of coefficient on the top with the bottom. In plain English what that means is that if you make m = 1 then the coefficients are 2 and 1 (2 in the numerator and 1 in the denominator). If m is any other value greater than 1 there is not a horizontal asymptote.
C <<<====answer.
Third one down.
helpppppppppppppppppppppppppp
Answers
The last choice is the correct one
Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)
For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)
Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)
Hope this helps :)
Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store. The following week, she paid $18.99 for a 4.96-pound bag at another store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
Answers
Answer: 1st answer is 3.88 lastly the 2nd is 3.83
Step-by-step explanation:
The bag with price $18.99 for a 4.96-pound bag is best to buy.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store.
So, Jessica paid for one pound of shrimp = 13.24/ 3.41
= $3.88
= $3.9
and, he paid $18.99 for a 4.96-pound bag at another store.
So, she paid for one pound = 18.99/4.96
= $3.8286
= $3.8
Hence, the bag with price $18.99 for a 4.96-pound bag is best to buy.
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Please help! what is y+7=-1/7(x+4) in slope intercept form?
Answers
the equation of a line in slope intercept form is--------------> y=mx+b
where
m-----------> is the slope
b-----------> is the y-intercept point when x=0
y+7=-1/7(x+4)---------> y+7=(-1/7)x-4/7
y+7=(-1/7)x-4/7------> y=(-1/7)x-4/7-7------> y=(-1/7)x-(53/7)
the answer is
y=(-1/7)x-(53/7)-------------> this is the equation of a line in slope intercept form
m=(-1/7)=-0.14
b=(-53/7)=-7.57
y=-0.14x-7.57
see the attached figure
Francis have 5 more dollars than Julia together they have at most $45 let X represent the amount of money francis has. Which inequality can be used to find the possible amounts of money that francis has?
Answers
the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five
Which pair of measurements is not equivalent?
450 mm, 4.5 m
250 cm, 2.5 m
4 km, 4,000 m
1.2 cm, 12 mm
Answers
450 mm = 45 cm
45 cm = 0.45 m
0.45 doesn't equal 4.5
Hope this helps!
Final answer:
The pair of measurements that is not equivalent is 450 mm and 4.5 m.
Explanation:
When comparing pairs of measurements, it's important to convert them to the same unit before making a comparison. Let's examine the pairs to determine which one is not equivalent:
450 mm is convertible to meters by dividing by 1000, as there are 1000 millimeters in a meter, giving us 0.45 m. This is not equal to 4.5 m.250 cm is convertible to meters by dividing by 100, since there are 100 centimeters in a meter, resulting in 2.5 m. Hence, 250 cm and 2.5 m are equivalent.4 km converts to meters by multiplying by 1000, as there are 1000 meters in a kilometer, resulting in 4000 m. Therefore, 4 km and 4000 m are equivalent.1.2 cm is convertible to millimeters by multiplying by 10, as there are 10 millimeters in a centimeter, giving us 12 mm. So, 1.2 cm and 12 mm are equivalent.The non-equivalent pair is 450 mm and 4.5 m. All other pairs are equivalent after conversion.
A rectangle is 25 inches long and 13 inches wide. What is the area of the rectangle?
Answers
Therefore,
25 x 13 = 325
The answer is 325 inches squared.
Hope this helps! Good luck! :D
Answer:
GUYS HE MEANT 2/5 AND 1/3
Step-by-step explanation:
THE REAL ANSWER IS 2/15
Area of rectangle is given by:
where
A is the area of rectangle
l is the length of the rectangle
w is the width of the rectangle
As per the statement:
a rectangle is 2/5 inches long and 1/3 in wide
⇒
and inches
then using area formula we have;
Simplify:
inches square.
Therefore, the area of rectangle is square inches.
Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3 by applying x = 2 and x = 3.
9x-9
9x-1
9x+x-9
9(x-1)
4(3x-3)+3-3x
Answers
x=2
4(2*2 + 2 – 3) – 3(2) + 3
4(4 + 2 - 3) - 6 + 3
4(6 - 3) - 6 + 3
4(3) - 6 + 3
12 - 6 + 3
6 + 3 = 9
x=3
4(2*3 + 3 – 3) – 3(3) + 3
4(6 + 3 - 3) - 9 + 3
4(9 - 3) - 9 + 3
4(6) - 9 + 3
24 - 9 + 3
15 + 3 = 18
So, the equivalent expression should equal 9 when x is 2 and 18 when x is 3.
Lets plug them in!
9x-9
9(2) - 9 = 18 - 9 = 9
9(3) - 9 = 27 - 9 = 18
9x-1
9(2) - 1 = 18 - 1 = 17
9(3) - 1 = 27 - 1 = 26
9x+x-9
9(2) + 2 - 9 = 18 + 2 - 9 = 20 - 9 = 11
9(3) +3 - 9 = 27 + 3 - 9 = 30 - 9 = 21
9(x-1)
9(2-1) = 9(1) = 9
9(3-1) = 9(2) = 18
4(3x-3)+3-3x4(3*2 - 3) + 3 - 3(2) = 4(3) + 3 - 6 = 12 + 3 - 6 = 15 - 6 = 9
4(3*3 - 3) + 3 - 3(3) = 4(6) + 3 - 9 = 24 + 3 - 9 = 27 -9 =18
So, the equivalent expressions are
9x-9
9(x-1)
4(3x-3)+3-3x
Hope this helped! (Also, I meant expressions not equations! Oops!)
What is the length of the side of a cube that has a surface area of 864 in2
A.11in
B.12in
C.13in
D.14in
Answers
b-----------> length of the side of cube
we know that
the area surface of cube=6*b²
A=6*b²=864 in²----------------> b=√(864/6)=12 in
the answer is b=12 in
The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).
C(t) = $18.50 1 <_t < 12
$16.00 12<_t < 20
$14.50 20<_t
What is the total cost for 20 tickets?
A.)$14.50
B.)$16.00
C.)$290.00
D.)$320.00
Answers
20 · 14.50 = $290.00
Answer: C ) $290.00
Answer:
C. $290
Step-by-step explanation:
We see that,
The cost of the single ticket is given by,
[tex]C(t) =\left\{\begin{matrix} 18.50, &1\leq t\leq 12 \\ 16.00, & 12\leq t\leq 20\\ 14.50, & 20\leq t\end{matrix}\right.[/tex],
where t = number of tickets.
As, we have,
When t = 20, the value of C(t) is $14.50.
That is, the cost of 20 tickets = 20 × 14.50 = $290.
Thus, the total cost of 20 tickets is $290.
Identify the initial amount a and the growth factor b in the exponential function a(x) =680•4.3^
Answers
f(x) = 680 ( 4 )³
a b
The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased by 2, the fraction becomes 3/4 . What is the original fraction? Which of the following systems of equations can be used to solve the problem? n + 4 = 3 and d + 5 = 4 3n - 2d = 0 and 4n + 2 = 3d + 2 3n = 2d and 4n + 8 = 3d + 6
Answers
(n + 2)/(d + 2) = 3/4 ------> 4n + 8 = 3d + 6
The answer is C, 3d = 2d and 4n + 8 = 3d + 6
Alina has one-quarter of a dollar for parking money. Which amount is equivalent to her parking money?
Answers
According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?
Answers
Industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.
What is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
Given that, a graph titled top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010.
Here,
Health services, 57;
Personnel supply services, 49;
Warehousing and storage, 45;
Water and sanitation, 45;
Computer and data processing, 86;
Management and public relations, 42;
Cable television services, 51;
Residential care, 64;
Business services, 43;
Equipment rental and leasing, 42.
So, according to the given data the highest record is given by computer and data processing.
Therefore, industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.
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"Your question is incomplete, probably the complete question/missing part is:"
A graph titled Top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010 showing percent change for the following: health services, 57; personnel supply services, 49; warehousing and storage, 45; water and sanitation, 45; computer and data processing, 86; management and public relations, 42; cable television services, 51; residential care, 64; business services, 43; equipment rental and leasing, 42.
According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?
A. Equipment rental and leasing
B. Residential care
C. Computer and data processing
D. None of these
Multiply the binomials (x - 8) (x + 8)
Answers
= x^2 - 8x + 8x -64
= x^2 - 64
Andy is buying carpet squares for his living room. the length of the room is 20 feet, and the width is 16 feet. each carpet square covers 4 square feet. how many carpet squares will andy need to purchase to cover the room
Answers
Answer:
andy needs 80 carpet squares
Step-by-step explanation:
Final answer:
To cover the living room, multiply the room's length by its width to get the area in square feet (320 square feet), then divide by the area that one carpet square can cover (4 square feet), resulting in 80 carpet squares needed.
Explanation:
To calculate the number of carpet squares needed to cover Andy's living room, we start by finding the area of the room. The area is the product of the length and the width, so we multiply the room's dimensions: 20 feet (length) by 16 feet (width). This calculation gives us an area of 320 square feet. Next, we divide the total area by the area that each carpet square can cover. Since each square covers 4 square feet, we divide 320 square feet by 4 square feet per square to determine the number of squares needed:
320 square feet ÷ 4 square feet/square = 80 squares.
Therefore, Andy will need to purchase 80 carpet squares to cover the living room.
factor the equation.
Answers
find factors of x² and 18 that will give you -11x
x² - 11x + 18
x -9
x -2
(x - 9)(x -2) is your answer
if you are finding the x, place each parenthesis equal to zero
x - 9 = 0
x - 9 (+9) = 0 (+9)
x = 9
x - 2 = 0
x - 2 (+2) = 0 (+2)
x = 2
x = 2, 9
hope this helps
Which of the binomials below is a factor of this trinomial?
3x2 + 18x + 24
A. x + 4
B. x - 4
C. x - 3
D. x + 3
Answers
Final answer:
The binomial factor of the trinomial 3x^2 + 18x + 24 is 'x + 4', which corresponds to Option A.
Explanation:
The student is asking which binomial is a factor of the trinomial 3x2 + 18x + 24. To find a factor, you can either factor the trinomial directly or use the zero product property, which states that if a product equals zero, then at least one of the factors must be zero. Since we're looking for a binomial factor and not solving for x, we'll factor the trinomial.
Factors of 3x2 are 3x and x, and factors of 24 that add up to 18 (when multiplied by 3 or 1 from the 3x2 term) are 6 and 4. Thus, the trinomial can be factored as (3x + 4)(x + 6). So, the binomial that is a factor of the trinomial is x + 4, which is Option A.
A reporter for the local news station wants to know how the citizens of the area feel about the current gas prices. The reporter decides to gather this information by conducting a survey at the local golf course.
Part A
Determine if the chosen sample is random or not random for the population and give and explanation why.
Part B
Come up with two different ways a random sample could be collected for this population.
Answers
PART A
While it is not entirely clear if the members of the golf club are representative of those in the area (one might be in an area where most folks golf), it is probably unlikely. Most people do not golf and (I am being very stereotypical here) most golfers are men. So the people he asks might be more likely to be men than those in the area, as an example.
PART B
To get a random sample, the reporter could instead knock on the door of 3 houses on every block in the area and ask the inhabitants of these houses about the gas prices. We, of course, don't know how big the area is or how feasible it is to knock on 3 doors per block, but here we are likely to get a random sample.
Another method could be to take a list of residents from the area and contact every 5th name on the list. In this way the people selected are random and more likely to be representative of those in the area.
Can someone help me? Any mathematicians? I'll give you the brainliest and points
Answers
Choice A
Min value: -4
Domain: All real numbers
Range: All real numbers greater than or equal to -4
---------------------------------------------------------------------------------
---------------------------------------------------------------------------------
The given equation y = 2(x-3)^2-4 is in the form y = a(x-h)^2 + k
a = 2 is the leading coefficient
since the leading coefficient is positive, the graph opens upward meaning this graph has a min value (instead of a max). Since we know it doesn't have a max, we can rule out choice B and choice C
The min value is the value of k, which in this case is k = -4. At this point, we can see the answer is choice A. Recall that (h,k) is the vertex which is either the highest or lowest point.
Adding on more confirmation that the answer is choice A, the domain is in fact the set of all real numbers. We can replace x with any number want to get some output value for y. There are no restrictions since we don't have to worry about dividing by zero or taking the square root of a negative number.
The range is the set of y values such that y >= -4. Basically y is either -4 or larger than -4. This comes from the fact that y = -4 is the smallest output possible (aka the min value mentioned earlier)
Which expression is not equivalent to 3x – 2?
A. x + x – 1 – 1 + x
B. 2x + 2 + x
C. 3 – x + 2x – 5 + 2x
D. 4x – 4 – x + 2
Answers
The expression which is not equivalent to the given expression is 2x + 2 + x. Hence, option B is correct.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
The given expression is,
3x - 2
Now, one by one check with given options,
A. x + x - 1 - 1 + x = 3x - 2, So, it is correct.
B. 2x + 2 + x = 3x + 2, So, it is incorrect.
C. 3 - x + 2x - 5 + 2x = 3x + 2, So, it is correct
D. 4x - 4 - x + 2 = 3x + 2, So, it is correct.
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b
just got it right on edge