Triangle ABC is similar to triangle A'B'C'. Calculate the length of side A'B'. Then check your
answer using a different method.

Answer: 4x+8

Step-by-step explanation:

Answer:

T = 12

Step-by-step explanation:

12/6=2

Answer:

30???????????

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

You are asked only for the setup, not the solution.

I find it convenient to use variable names that remind me of what they stand for. Here, we're asked for the admission prices for adults and children, so 'a' and 'c' are convenient variables to represent those values.

  Let a represent the admission price for an adult.

  Let c represent the admission price for a child.

__

The first sentence gives a relation between the numbers and the total cost:

  162 = 12c +3a

The second sentence gives a different relation:

  122 = 8c +3a

These are the "system of equations."

_____

You aren't asked for the solution, but it is (a, c) = (14, 10). It can be found easily by subtracting the second equation from the first.

Answer:

x = 13.748 feet

Step-by-step explanation:

could not see what the answer should be rounded to

this is a right triangle so you can use the Pythagorean Theorem:

6² + x² = 15²

x = [tex]\sqrt{225-36}[/tex] = [tex]\sqrt{189}[/tex] ≈ 13.748

The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

The right is a triangle with has one angle 90° and square of hypotenuse is equal to the sum of square of other two legs.

Given that, the set of measurements representing the side lengths of a right triangle,

We will check the measurements by seeing if they are following the Pythagoras theorem or not,

Option A)

16 ft, 30 ft, 34

16²+30² = 1156 = 34²

∴ 16²+30² = 34²

Option B)

9²+12² = 225 = 15²

9²+12² = 15²

Option C)

7²+24² = 625 = 25²

7²+24² = 25²

Option D)

5²+7² = 74 ≠ 12²

Since, 5ft. 7 ft, 12 ft set of  measurements are not following the Pythagoras theorem.

Therefore, it's not a right triangle.

Hence, The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

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Answer:

$5760

Step-by-step explanation:

Given data

Principal= $8,000

Tax= 28%

Let us compute 28% tax deduction

=28/100*8000

=0.28*8,000

=$2240

Hence the net expenses is

=8000 -2240

=$5760

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

x²+2x+y²-2y=62

using completing the square

x²+2x+1+y²-2y+1=62+1+1

(x+1)²+(y-1)²=64

(x+1)²+(y-1)²=8²

(x-a)²+(y-b)²=r²

by comparison

(a,b)=(-1,1)

a,b is the center of the circle

r=8unit

r is the radius

Answer:

the answer is 4

Step-by-step explanation:

5x=16+4

5x=20

X=4

Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

The graph formed by equation y= -2/3x+10 will be perpendicular to the graph by equation y=3/2x-10.

A line in the form of ax + by + d = 0 will be a linear equation and if we convert it into the form of y = mx + c where m will be the slope of that equation.

If two lines are perpendicular to each other then the product of their slope of them will be (-1).

⇒  m₁ ₓ m₂ = -1

The slope of line 2x + 3y = 10 will be -2/3

To be any line perpendicular whose slope m with the 2x + 3y = 10

⇒ -2/3 × m = -1

⇒   m = 3/2 so the slope of that line should be 3/2

Hence, line y=3/2x-10 will be perpendicular to the 2x + 3y = 10.

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Answer:

the answer is B

Step-by-step explanation:

Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.

Step-by-step explanation:

The median is the middle number in the sequence.

To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.

The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.

Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.

The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.

Given  the data sets of two sets of quiz scores,

Sample A = 5, 5, 5, 5, 5

sample B = 2, 2, 2, 2, 17

mean is the average of total samples,

mean of sample A = (5 + 5+ 5 + 5 + 5 )/5

mean of sample A = 5

Mean of sample B = (2 + 2 + 2+ 2 + 17)/5

mean of sample B = 5

since the mean of both sample are same,

median is the central digit of sets

median of A is 5 and the median of B is 2,

so the median of sample A is larger than sample B.

Hence option D is correct.

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Answer:

A=11

Step-by-step explanation:

11-13=2 and 2 is less than 3

Answer:

Step-by-step explanation:

Input:

a - 13<3

a<16

Answer:

20 is 80 of 25

Explanation:

20x10/8=25

A percentage is a way to describe a part of a whole. 20 is 80% of 25.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the number be x. Therefore, we can write,

80% of x = 20

0.80 × x = 20

x = 20/0.8

x = 25

Hence, 20 is 80% of 25.

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Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Hope this helps:)

Answer:

The nth term of the arithmetic sequence is;

90 - 3n

Step-by-step explanation:

Here, we want to find an expression for the nth term of the sequence

Mathematically, let us determine the type of sequence

As we can see;

84 - 87 = 81-84 = -3

The difference between the terms is a constant; this means that the sequence is arithmetic

The nth term of an arithmetic sequence can be represented by;

Tn = a + (n-1)d

in this case, a is the first term of the sequence = 87

d is the common difference of the sequence = -3

The nth term is thus;

Tn = 87 + (n-1)-3

Tn = 87 - 3n + 3

Tn = 87 + 3 - 3n

Tn = 90 - 3n

Answer:

option B

Step-by-step explanation:

you cannot have one input and 2 outputs.

(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction

Given:

The function is

[tex]f(x)=-3x^2+2x-7[/tex]

To find:

The value of f(-1).

Solution:

We have,

[tex]f(x)=-3x^2+2x-7[/tex]

Putting x=-1, we get

[tex]f(-1)=-3(-1)^2+2(-1)-7[/tex]

[tex]f(-1)=-3(1)-2-7[/tex]

[tex]f(-1)=-3-9[/tex]

[tex]f(-1)=-12[/tex]

Therefore, the value of f(-1) is -12.

Answer:

BC is 4

Step-by-step explanation:

Use a proportion to solve

AB is 2 (AD is 5 and BD is 3- so 5-3)

[tex]\frac{2}{x} = \frac{5}{10}[/tex]

[tex]5x=20\\x=4[/tex]

Answer:

They are equivalent.

Step-by-step explanation:

Answer:

Pandemic, Loss In family

Step-by-step explanation:

The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.

(Hope this helps)

Yours Truely, TheAnimeCatUwU

Answer:

The answer is 3a-27

You just gotta combine like terms (hope this helps)

Answer:3a-27.

hope it helps.

Answer:

KA = 28

∠KBL = 90°

Step-by-step explanation:

KA = KB (both are radii)

KB = 28, so KA = 28

∠KBL = 90° because tangents are perpendicular to the radius