Solve using a proportion.

9514 1404 393

Answer:

  the image is congruent with the original, angles and lengths are unchanged

Step-by-step explanation:

Translation, rotation, and reflection are known as "rigid transformations". Effectively, you can cut the figure from some rigid material, and move it according to any of these transformations without causing it to deform in any way.

All lengths and angles retain their measures when the figure is rotated about any point, through any angle. The rotated figure is congruent with the original.

__

Here, the triangle is defined in the second quadrant. Rotating it 90° clockwise will move it to the first quadrant. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x)

Answer:

The choice Draw 2

Step-by-step explanation:

[tex]3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24- 12x + 12x < 6x + 12x - 30 \\ 24 < 18x - 30 \\ 24 + 30 < 18x - 30 + 30 \\ 54 < 18x \\ 54 \div 18 < 18x \div 18 \\ 3 < x \\ x > 3[/tex]

I hope I helped you^_^

Step-by-step explanation:

sin x= P/H

sin x = 0.96 = 96/100 = 24/25.

Let the ratio of the sides be x.

B²=H²-P²

B²=(25x)²-(24x)²

B²=625x²-576x²

B²=49x²

B=√49x²

B= 7x.

cos x = 7x/25x = 7/25.

therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .

hope this helps you.

===================================================

Explanation:

Multiply the denominators to get 3*4 = 12. We'll use this value to set up the number of slices we start with.

If we started with 12 slices, then 1/3 of this is (1/3)*12 = 4 slices. So Carlos ate 4 slices. There are 12-4 = 8 slices left.

1/4 of that value is (1/4)*8 = 2 which is the number of slices given to his friend.

Divide the number of slices given to the friend (2) over the number we started with (12) to get 2/12 = 1/6

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Another approach:

If Carlos ate 1/3 of the full pie, then there are 2/3 of it left.

1/4 of this is (1/4)*(2/3) = (1*2)/(4*3) = 2/12 = 1/6 which represents the fractional amount of the original pie given to the friend.

Answer:

The correct answer is [tex]2 *10^3 ; 2,000[/tex]

Picture to text form: 2 x 10^3 ; 2000

Step-by-step explanation:

The answer you chose is incorrect.

Answer: It would be 2* 10^3; 2000

Step-by-step explanation:

Divide the total number of students in the state by the number of students in the school.

806240 / 400 = 2015.6

The closest number would be 2000, written as 2* 10^3.

Answer:

Geometric sequence is a sequence in which terms are given by multiplying the previous term by a common ratio.

Answer:

a sequence in which terms are not given by multiplying the previous term by a common ratio

Step-by-step explanation:

Answer: Just add the 14+3

= Y17

Step-by-step explanation:

Answer:

15.81 is the answer.

Answer:

32500 per year

Step-by-step explanation:

multiply 50 weeks to 50 hours to get how many hours does 50 week have then multiply the outcome result of the two to the $13 to get the money he/she would earn in a year.

Answer:

72.9

Step-by-step explanation:

hope it helps you out

please mark brainiest

Answer:

81 Out of 90 is 90%.

Step-by-step explanation:

Follow the below steps to calculate what percent is 81 out of 90 or how to write 81/90 as a percentage.

Step 1: Percentage Formula = Number1/Number2 x 100

Step 2: plugin the 81 and 90 to the percentage formula and we get 81/90 x 100 = 90%

hope this helps!

(can u mark brainliest)

Answer:

21

Step-by-step explanation:

3^3 + 11(2) - 4(7) = 27 + 22 - 28

f=3,g=2,h=7

Now

Answer:

12.87, 12.5  is closer to 13

12.08, 12.13  is closer to 12

Step-by-step explanation:

Least to Greatest:

12

13

Answer:

536,401

Step-by-step explanation:

the 5 is in the ten thousands column in 654,321. you have to times the number by ten to see what column it would be in, 6,543,210. The 5 is now in the hundred thousands column. The only number there with the 5 in in the hundred thousands column is 536,401.

Answer:

C = 25.13cm

C = π d = π · 8 ≈ 25.13274cm

Answer:

the answer is 4cm circumference

Answer:

D

Step-by-step explanation:

x^2=25

[tex]\sqrt{x^{2}[/tex] = [tex]\sqrt{25}[/tex]

x= 5

Answer:

Step-by-step explanation:

goes up by 1 each time

The pattern of Jordan is that, she goes up by 1 , each time.

It is given that Jordan counts 53 ducks on a pond and then she counts 3 more by following a same pattern each time.

What is the pattern that she follows ?

What will be the value if we add 1 for 4 times.

The value will be 4.

The numbers Jordan counts are

50, 51 , 52 , 53 , 54 ,  55 , 56 , 57 , 58 , 59, 60

If we check

51 - 50 = 1

52-51= 1

.

.

.

60-59 = 1

and so on.

Every time we get a difference of 1 count.

Thus , the pattern followed by Jordan is that, she goes up by 1 , each time.

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Answer: 7

Step-by-step explanation:

[tex]2(10) \div 5 +3\\\\20 \div 5 + 3\\\\4+3\\\\\boxed{7}[/tex]

Answer: C

Step-by-step explanation:  When you rotate it 90 degrees it is the same then you put it 3 to the right which makes it opposite. I mean I am pretty Sure.

Answer:

If the cost of dinner is less then the money that the Andrew and Kate have then we can say Andrew and Kate have enough money to pay their bill. answer should be "b".

Step-by-step explanation:

Answer: its B.)

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

[tex] - \frac{11}{16} \times - \frac{4}{33} [/tex]

if you know how to cancel, you can cancel the 4 and 16. The 4 becomes a 1 and 16 becomes a 4. Next cancel the 11 and 33. the 11 becomes a 1 and the 33 becomes a 3.

[tex] - \frac{1}{4} \times - \frac{1}{3} [/tex]

multiply, two negatives make a positive

[tex] \frac{1}{12} [/tex]

Answer:

1)

Step-by-step explanation:

l x w and w x h are all formula for a rectangle, not a cube.

For instance, let's take l x w. If we change the height it will definitely change the volume, but according to 2) it won't. So, 2 is wrong.

We can do the same process for 3) to show it's wrong.

So, the answer is not 2) or 3), so it must be [tex]\boxed{1)}[/tex]

Answer:

27

Step-by-step explanation:

it is 55 23+18=41 +14=55

Step-by-step explanation:

in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.

now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.

when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).

so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.

xm, ym are the coordinates of the midpoint.

xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5

ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5

so, the midpoint is (-6.5, 0.5)

Answer:

$275.40

Step-by-step explanation:

Add 444+523+410=1377

divide 1377 by 5 and u get 275.4

Hint :-

Solution :-

The given equation to us is ,

[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]

Convert it to slope intercept form we have ,

[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]

On comparing to the slope intercept form of the line we have ,

As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,

Now using slope point form rewrite the equation of the perpendicular line ,

[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]

Answer:

B

Step-by-step explanation:

Because "How Tall are the students in my class?" and "How much do the students oon the team weigh,?" can vary. If you ask a question about one person, it is not a statistical question because the answer cant vary.

An answer will vary with 2 or more things.

Hope I helped.

How many hours per week do you practice sports? does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A statistical question is a question that can be answered through data analysis and involves variability or differences among data.

It usually requires collecting data from a sample or population, organizing and summarizing the data, and drawing conclusions from the results.

How tall are the students in my class and How much do the students on the football team weigh represent statistical questions because they involve collecting data on a characteristic or variable of a population, such as height or weight.
These questions can be answered through data analysis and provide information on the variability or distribution of the characteristic in the population.

Hence, Option B does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

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