Triangles PQR and FGH are similar. Also, What is the ratio of the area of triangle PQR to the area of triangle FGH?

Answers

Answer 1

Theorem : If two similar triangles have a scale factor of a : b, then the ratio of their areas is a^2 : b^2.
We have a: b = 1: 1; then a^2 : b^2 = 1^2 : 1^2 = 1;

Related Questions

how do I find the volume of a square polyhedron

Answers

First, find the volume. For a square polyhedron, the formula for the volume is the following:

Volume=length×width×height

Hope this helps.

Hello.

First, find the volume of the pool. For a rectangular prism, the formula for the volume is the following:

Volume=length×width×height

divide the total volume by 5 to find how long it will take for the pool to fill.

Havce a nice day

mary draws the number line below to repersent the solution set of the inequality 50-8t<90
what mistake did Mary make?

Answers

50-8t<90
50-90<8t
-40<8t
8t>-40
t>-5
Solutions should go to the right.
Mary probably was solving it as following
50-8t<90
-8t<90-50
-8t<40 (here, when she divided both sides by -8, she had to change sign < to the sign >)
But she did not change the sign, and got
t<-5

How do you fully learn your times table and division

Answers

Go over them everyday and let someone test you out from the 1x then 2x and etc

There are simple tricks
•For the 0 everything is 0
•For the 1’s it’s always the same number ur multiplying it by so like 1x2 is just gonna be 2
1x3 is 3 and 1x578 is 578 simple as that.
•For your 2s times tables it’s literally just adding the same number twice so let’s say you have 2x7 which is the same thing as saying 7x2 all you have to do is just add the same number twice so it’s 7+7= 14 lets do another so 5x2 =10 so 5+5=10
•For your 3’s here’s a 2 minute video and it’s supper helpful
https://m.youtube.com/watch?v=ONl323NU0ws
•For the 4s times tables here a quick link https://m.youtube.com/watch?v=UOGuJRzYv0A
•For the 5s times tables it’s really easy not sure if you need help with that one
•For the 6s
https://m.youtube.com/watch?v=cMMa0iWAOdA
•For 7s
https://m.youtube.com/watch?v=hau8eYZV0t8
•For 8s
https://m.youtube.com/watch?v=-C-e33iVBTM
•For 9s
https://m.youtube.com/watch?v=puFOpCt1_DY
•For 10s all you have to do is do the same trick as for the 1s but put a zero behind the number so 10x7 is 70 and 10x8 is 80 and 10x9 is 90

There is only so many tricks you can learn so just study it a-little bit because multiplication is veryyyy important.
Multiplying is just adding the same number how ever many times
So let’s say you need to add the number 2 in 9 different times instead of saying 2+2+2+2+2+2+2+2+2=18 you can just simply say 2x9=18 simple Right?

If you need 12 and 11s times tables just let me know
Hope this helped, seems like a lot but trust me it’s not everyone knows them all. As you get older you start memorizing them better :)

I WILL MARK BRAINLIEST

The graph shows the location of Gary's, Joan's, and Kash's houses on a coordinate plane. Each unit on the graph represents 1 mile.

Joan is going to pick up Gary and Kash for band practice at her house this afternoon. She is going to pick up Kash first, then Gary, and then go back home for practice. How many total miles will Joan travel while picking up her bandmates? Round your answer to the nearest mile.

A. 9 miles
B. 10 miles
C. 19 miles
D. 22 miles

Answers

D. is the answer if im not mistaken

Answer: D

i think it is D

Step-by-step explanation:

What is the answer to part d. Thanks so much.

Answers

y=5/3x + 2 the 2 comes from where the point is on the y axis, the 5/3x comes from rise over run

y=5/3x-2. the 5/3 is the rise over run. the -2 comes from the downward shift in the graph, the previous answer is wrong.

NEED HELP ASAP!!! Which graph represents the given inequality? 3x -7y < -21

Answers

Hello there, and thank you for asking your question here on brainly.

Short answer: The first graph, A.

Why?

The equation 3x - 7y < -21 is a dotted line that passes through -7 on the axis. Therefore, the correct answer is A.

Hope this helped you! ♥

Answer:

Step-by-step explanation:

Given the inequality

3x —7y <—21

Make y subject of formulae to know the slope and intercept on y axis

—7y < —3x — 21

Divide through by -7, note the inequalities sign will change since we are dividing with a negative

Then,

y > 3x/7 + 3

Then, the intercept is 3 and the slope is 3/7 when compared to equation of a line y = mx + c

We know that

y is greater than 3x/7 + 3, so the upper part should be shaded since y is greater than 3x/7 + 3

Then, option B and C are wrong since the below is shaded

Let find the intercept on the x axis to know the answer between A and B

I.e. when y = 0

3x —7y <—21

3x < —21

x < -7, then, line should pass through the negative of x and not positive x

So, the first option (A) is correct

Subtract the quotient of 18 and 2 from sum of 22 and 9

Answers

Step by Step Answer
18/2 = 9
22 + 9 = 31
31 - 9 = 22

What is the range of the following graph?

Answers

Range is the set of possible y values. If you look at the end behavior of the function, as x approaches both infinity and negative infinity, y continues to increase in magnitude, meaning that the range is from negative infinity to infinity. the correct answer is B.

Lisa is extending the width of her son's sandbox. it is currently a rectangle that is 2 yards long and 18 inches wide. she wants it to cover an area of 4 yd in total. by how does she have to increase the width to achieve new area?

Answers

1.5 yd should be increased to the width:

1yd=36inch

18inch×1yd/36inch=.5yd

lw=area

4yd²=2ydw

2=w

2-.5=1.5yd

what the answer is and how?

Answers

so what we know is that 15 is the diameter

However the formula to find the area of a circle is A=[tex] \pi [/tex]r²
So to convert the 15 in diameter to a radius you have to do 15÷2,which is equal to 7.5

Now we know that the radius is 7.5.
So what we do now is A=[tex] \pi [/tex]7.5²
Then after we find what 7.5² is we get A=[tex] \pi [/tex]56.25
Then what we do is 3.14×56.25, because pi= 3.14.
So when we do 3.14×56.25, we get 176.625
So the answer is A= 176.6 in²

Plaese help me i will give you 20 points!!!!!

Answers

Since it took 10 years for the price to rise by 11 cents, you could estimate that it would take around 7-8 years for it to rise by 8 cents to reach .52.

I hope this helps!

Which expression is equal to 15x - 6

Answers

Final answer:

The expression 15x - 6 is already in its simplest form and cannot be simplified further without additional information or context.

Explanation:

The student is asking for an expression that is equal to 15x - 6. In mathematics, we often look for ways to simplify or manipulate expressions to find equivalents. However, the given expression 15x - 6 is already in its simplest form and cannot be simplified further without additional context or constraints. Sometimes in algebra, we expand, factor, or use algebraic rules to rewrite expressions, but without more information, 15x - 6 stands as it is. It's important to ensure that we understand the context in which an expression is used, as this could influence how it may be manipulated or simplified.

Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN

Answers

Final answer:

The question mixes physical and geometric concepts without a clear relationship or sufficient details to calculate the length of KN in the trapezoid KLMN, making it difficult to provide a step-by-step solution.

Explanation:

The question appears to involve various mathematical and physical concepts, most notably relating to trapezoid geometry and principles of force and motion. However, the specific information provided does not directly lead to a clear method for finding the value of KN in a trapezoid given the other conditions mentioned. It mixes principles from physics, particularly force equations, with geometric properties of trapezoids without presenting a typical geometry problem's clear setup or goal.

Normally, to solve for the length of a side in a trapezoid like KN, one would use properties of trapezoids (e.g., parallel sides, angle properties, or potentially the Pythagorean theorem if right angles are involved). However, the information given mixes unrelated physical equations (such as the force equation F = ma and friction models) with geometric figures without presenting a coherent relation between them.

Without additional specific geometric information or a clearer connection between these physical principles and the geometry of trapezoid KLMN, providing a step-by-step solution for finding KN is not feasible. It is advisable to request more specific details or clarification on how these concepts are supposed to interact within the context of the problem.

if angle 7 has a measure of 153° in the given diagram, what is the measure of angle 6

Answers

the angle 6 is 153 because the angles are across from eachother

Diego has a large box that is 4 feet high, 3 feet wide, and 5 feet long. Can he fit 65 smaller boxes that each have a volume of 1 cubic foot in the large box?

Answers

Volume of the large box = 4 x 3 x 5 = 60 ft³

Volume of a cube = 1 ft³
Total number of cubes = 1 x 65 = 65 ft³

Answer: No, Diego cannot fit 65 smaller cubes into the large box. There will be 5 cubes that cannot be put in,

No, Diego cannot fit 65 smaller cubes into the large box. There will be 5 cubes that cannot be put in.

What is volume?

Volume in math is the amount of three-dimensional space occupied by an object, substance, or closed surface. Volume can be measured by multiplying the length, width, and height of an object or by counting the number of unit cubes it contains.

Given that, Diego has a large box that is 4 feet high, 3 feet wide, and 5 feet long, we need to determine whether he can fit 65 smaller boxes that each have a volume of 1 cubic foot in the large box,

For determining the same, we will find both volume and compare,

Volume of the large box = 4 x 3 x 5 = 60 ft³

Volume of a cube = 1 ft³

Total number of cubes = 1 x 65 = 65 ft³

Since, both the volumes are equal,

Therefore,

He cannot fit 65 smaller cubes into the large box, as he will be left with 5 boxes out of the box.

Hence, Diego can not put 65 boxes in the larger one.

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A recipe requires 4 tsps and 1 fl oz. Which measurement is greater?

Answers

Answer: 1 fl oz is greater than 4 tsps.

Happy to help! :)

1 fl oz. s greater than 4 tsps but 6 tsps is the same as 1 fl oz.

Hope this Helped!

;D
Brainliest??

This plot shows the number of cakes sold each day in aunt Alice’s cake shop last month.

What number of cakes sold is an outlier?

Answers

9- it’s the furthest from the cluster or common area of plots

Answer: 9

Step-by-step explanation:

An outlier is an observation point in any data plot that appears farthest from the other data observations.

In the given data plot, the plot shows the number of cakes sold each day in aunt Alice’s cake shop last month.

Here, we have one observation point that appearing farthest from all the other observation points i.e. point at 9.

Therefore the number of cakes sold is an outlier = 9

The sum of 6 times a position number and 1 is the same as the sauare of 1 less than the number

Answers

If the number is x, then:
6x+1= (x-1)^2

Now we just need to simplify it
6x+1=(x-1)*(x-1)
6x+1=x^2-2x+1
8x=x^2
8=x

The number is 8.

To check the answer
6*8+1=7^2
49=49
correct :)

How do you find the product or quotient of powers with the same base?

Answers

Product: when you have the same base, the bases stay the same and you add the exponents together
Quotient: When dividing terms that also contain coefficients, divide the coefficients and then divide variable powers with the same base by subtracting the exponents (exponents from the denominator from numerator)

Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank for it to double? Round to nearest tenth of a year.

Answers

To solve this we are going to use the compounded interest formula: [tex]A=P(1+ \frac{r}{n})^{nt} [/tex]
where
[tex]A[/tex] is the final amount
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is the time in years

We know that initial investment is $5,745, so [tex]P=5745[/tex]. We also know that Kristen wants his investment to double, so [tex]A=2*5745=11490[/tex]. Now, to convert the interest rate to decimal form, we are going to divide the rate by 100%: [tex]r= \frac{6.5}{100}=0.065 [/tex]. Since the interest is compounded monthly, it is compounded 12 times per year: therefore, [tex]n=12[/tex]. Now that we have all the information we need, lets replace the values in our formula and solve for [tex]t[/tex]:
[tex]A=P(1+ \frac{r}{n})^{nt} [/tex]
[tex]11490=5745(1+ \frac{0.065}{12})^{12t} [/tex]
[tex] \frac{11490}{5745} =(1+ \frac{0.065}{12})^{12t}[/tex]
[tex]2=( \frac{2413}{2400} )^{12t}[/tex]
[tex]ln(2)=ln(\frac{2413}{2400} )^{12t}[/tex]
[tex]ln(2)=12tln(\frac{2413}{2400} )[/tex]
[tex] \frac{ln(2)}{12ln(\frac{2413}{2400} )} =t[/tex]
[tex]t=\frac{ln(2)}{12ln(\frac{2413}{2400} )}[/tex]
[tex]t=10.7[/tex]

We can conclude that she must leave the money for 10.7 years in the bank for it to double.

Find the area of a parallelogram....

Answers

The area of a parallelogram is ...
A = bh
Substituting the given values, you have
A = (3x +5)(7x -1)
We presume you want the product multiplied out. Use the distributive property for that.
A = 3x(7x -1) +5(7x -1)
A = 21x² -3x +35x -5
A = 21x² +32x -5

The area of the parallelogram is 21x² +32x -5.

HELP ME PLZ I REALLY NEED YOUR HELP ANY one 20 points

Answers

The first proposal identifies total costs for materials and labor. The proposed charges add to ...
410.20 +919.60 +9675.00 = 11,004.80
When divided by the number of seats (4250), the per-seat amount is computed to be
$11,004.80/(4250 seats) ≈ $2.5894/seat

The second proposal breaks out charges on a per-seat basis, so those can be added directly to give a per-seat total.
($0.35 +0.75 +1.50)/seat = $2.60/seat

The second proposal is about $2.60 -2.5894 = 1.06 ¢/seat more than the first.

What is the slope of this line?

Answers

The slope of this line is -1 because it goes down one and to the right one

Slope = (y2-y1)/(x2-x1)
Well use the two points: (-2,0) , (0,-2)
Slope = (-2 - 0) / (0 - -2)
Slope = (-2) / (2)
Slope = -1

A rectangular prism has a length of 5 meters, a width of 6 3/4 meters, and a height of 3 1/2 meters. What is the volume of the prism?

Answers

The formula to find the volume of a rectangular prism is: l x w x h.

5 x 6.75 = 33.75 33.75 x 3.5 = 118.125

Your answer is: V = 118.125 m³

Answer:

118.13

Step-by-step explanation:

6 3/4= 6.75

3 1/2 = 3.5

what are the intercepts of 7x+2y-14z=56
A. (8,0,0) (0,-28,0) (0,0,-4)
B. (8,0,0) (0,28,0) (0,0,-4)
C. (8,0,0) (0,28,0) (0,0,4)
D. (8,0,0) (0,-28,0) (0,0,4)

Answers

Since the equation is in 3 variables, there will be 3 intercepts:

1) x-intercept
Where y and z coordinate are zero.
So, we can say
7x + 2(0)-14(0) = 56
So, x = 8 is the x-intercept

2) y-intercept
where x and z coordinate are zero
So, we can write
7(0) + 2y - 14(0) = 56
So, y = 28 is the y-intercept

3) z-intercept
where x and y coordinates are zero
So, we can write
7(0)+2(0)-14z=56
So, z=-4 is the z intercept

Therefore, the correct answer to this question is option B

Which of the following shows of the slope of the line and one point on the line?

A. 6/5 and (-3, 1)
B. 5/6 and (1, -3)
C. 5/6 and (-3, 1)
D. -6/5 and (1, -3)

Answers

Answer is choice D

This is the only answer choice with a negative slope, so we don't even need to look at the point really. Though if you wanted, you can confirm that the point (1,-3) is on the diagonal line. This point is shown in red in the attached image.

To find that the slope is -6/5, you pick two points on the diagonal line and use the slope formula. Two points you can use are (1,-3) and (-4,3).
The slope formula is m = (y2-y1)/(x2-x1)

Note: The negative slope is because we move downhill as we move from left to right along the diagonal line.

A recycling bin in the The shape of a rectangular prism has a volume of 9720 cubic inches. The base area is 324 square inches, what is the height of the recycling bin?

Answers

The height is 30in. (see attachment)

Can someone please help me with number 25

Answers

Answer:

x² + 10x + 24 = (x + 4)(x + 6)

b = 4 or 6

hurry!! A company produces 4.56x10³ light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36x10² weeks?
4.5x10¹ light bulbs
1.4x10⁵ light bulbs
4.5x10⁶ light bulbs
45x10⁶ light bulbs

Answers

4.5x10⁶ light bulbs
The actual answer is 4.26x10^6. multiply 4.56 and9.36 to get 42.6816 add the exponents of the 10^3 and 10^2 for 10^5 move the decimal 1 place to the left to get 4.26x10^6

Answer:[tex]4.5\times10^6[/tex] light bulbs

Step-by-step explanation:

Given : The number of bulbs produced by company in 1 week=[tex]4.56\times10^3[/tex] lights

Then the number of bulbs produced by company in [tex]9.36\times10^2[/tex] weeks is given by :-

[tex]4.56\times10^3\times9.36\times10^2\\\\=4.56\times9.36\times10^{3+2}\\\\=42.6816\times10^5\approx45\times10^5....\text{[To the nearest 5s]}\\\\=4.5\times10^6[/tex]light bulbs

Hence, the number of bulbs produced by company in [tex]9.36\times10^2[/tex] weeks=[tex]4.5\times10^6[/tex] light bulbs

A factory makes 12 bottles every 2 minutes. The factory makes bottles for 8 hours each work day. Enter a whole number to represent the fewest number of work days the factory will need to make 28,000 bottles.

Answers

It will take 15 days to manufacture 28000 bottles.

We have a factory makes 12 bottles every 2 minutes and makes bottles for 8 hours each work day.

We have to determine the number of days it will take to make 28000 bottles.

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to question, we have -

Number of bottles manufactured in 2 minutes = 12.

In 8 hours = 8 x 60 = 480 minutes = 2 x 240 minutes.

Number of bottles manufactured in 1 day = 8 x 240 = 1920 bottles.

Number of days needed to make 28000 bottles = 14.58 = 15 days.

Hence, it will take 15 days to manufacture 28000 bottles.

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