Which of the following transformations does not preserve congruence?

Answer:

471.24

Step-by-step explanation:

Answer:

A= 471.24

Step-by-step explanation:

The formula for the surface area of a cylinder is

[tex]A=2\pi rh+2\pi r^2[/tex]

What we know is

Using these numbers, we can know plug them into the formula.

[tex]A=2\pi (5)(10)+2\pi(5)^2[/tex]

Simplify

[tex]A= 100\pi + 50\pi[/tex]

[tex]A= 150\pi[/tex]

[tex]A= 471.24[/tex]

Answer:

90

Step-by-step explanation:

add the ratio 3+5 to get 8

amina received 3/8 of 240

perform the calculation 3/8×240

240/8=30. , 30×3=90

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Answer:

 D.  7 +3i, 7 -3i

Step-by-step explanation:

When the leading coefficient of the quadratic is 1, as it is here, the sum of the roots is equal to the opposite of the coefficient of the x-term. So, we need the sum of roots to be -(-14) = 14.

In each case, the imaginary parts cancel when the roots are added. The real parts of the roots are the same, so the sum of roots is double the real part of one of the roots. In order for that to be 14, the real part of the root must be 7.

Only answer choice D matches this requirement.

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Algebraic solution

  x^2 -14x +58 = 0 . . . . given

  (x -7)^2 = -9 . . . . . . . subtract 9 and write as a square

  x = 7 ± 3i . . . . . . . . square root and add 7

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Additional comment

When p and q are roots, (x-p) and (x-q) are factors. The expansion of the factored form is ...

  (x -p)(x -q) = x^2 -(p+q)x +pq = 0

That is, the constant term is the product of the roots, and the linear (x) term coefficient is the opposite of the sum of the roots. This can help you check quickly if an offered choice of roots is applicable to the given equation. This is also the basis of the thinking used to factor the equation.

Answer:

273ft²

Step-by-step explanation:

Fabric needed

= 2([tex]\frac{1}{2}[/tex]×7×6) + 3(7×11)

= 42ft² + 231ft²

= 273ft²

[tex]1. {3}^{2} + {2}^{3} \\ = 9 + 8 \\ = 17[/tex]

[tex]2. {5}^{3} + {2}^{4} \\ = 125 + 16 \\ = 141[/tex]

[tex]3. {2}^{0} + {5}^{0} + {6}^{0} \\ = 1 + 1 + 1 \\ = 3[/tex]

[tex]4.1000 - {10}^{2} \\ = 1000 - 100 \\ = 900[/tex]

[tex]5. {3}^{3} - {2}^{3} \\ = 27 - 8 \\ = 19[/tex]

[tex]6. {5}^{2} - {3}^{2} \\ = 25 - 9 \\ = 16[/tex]

[tex]7. {10}^{2} - {10}^{0} \\ = 100 - 1 \\ = 99[/tex]

[tex]8. {2}^{4} \times {3}^{2} \\ = 16 \times 9 \\ = 144[/tex]

[tex]9. {10}^{3} - {5}^{2} \\ = 1000 - 25 \\ = 975[/tex]

[tex]10. {7}^{2} \times {2}^{2} \\ = 49 \times 4 \\ = 196[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

1/12

Step-by-step explanation:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12

Answer:

a. What is asked: How many miles did she ride on Monday and Tuesday together?

b. What are the given facts: On Monday, she rode 1/5 of a mile, and on Tuesday she rode 2/5 of a mile.

c. What is the operation to be used: Addition

d. What is the number sentence: 1/5 + 2/5

e. What is the solution: 1/5 + 2/5 = 3/5

f. What is the complete answer: 3/5 of a mile

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Answer:

  terms were improperly combined

Step-by-step explanation:

I find the easiest way to identify the error in a solution is to solve it myself and compare with what is shown as being done.

Here, we're starting with ...

  [tex]\dfrac{1}{5}g-\dfrac{1}{10}-g+1\dfrac{3}{10}g-\dfrac{1}{10}[/tex]

If we identify the g-terms and the constant terms, we can group them the way Tyson did:

  [tex]\dfrac{1}{5}g+(-1)g+1\dfrac{3}{10}g-\dfrac{1}{10}-\dfrac{1}{10}[/tex]

The next step is to combine like terms. We can factor out g, so the coefficients are easier to see and combine.

  [tex]\left(\dfrac{1}{5}+(-1)+1\dfrac{3}{10}\right)g-\dfrac{1}{10}-\dfrac{1}{10}\qquad\text{step 1a}\\\\\dfrac{1}{2}g-\dfrac{1}{5}\qquad\text{step 2}[/tex]

The error is 1 3/10 was combined with -2/10 as a constant instead of being combined with -4/5 as a coefficient of g.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hello!

TO find the root all you gotta do is 3x3 which gives you 9

Answer:

2x9 + 2x3

Step-by-step explanation:

You distribute the 2 to the other terms (9 and 3) in the brackets.

Answer:

Bottom left

Step-by-step explanation:

Trust me bro

(2,-9)

slope = -3

1.  y + 9 = -3(x - 2)

2. y = -3x - 3

3. x = -1

4. I don't know if you wanted the answer for this one. If so I can't see the whole problem.

Answer:

2.8 Miles

Step-by-step explanation:

You subract 5.8 from 8.6 to get the answer.

Answer:

x=1, y=10

Step-by-step explanation:

we use substitution to get from the bottom equation that y=12-2x,

plug that into the first equation to get 5x+12-2x=15

combining like terms and cancelling, we get 3x=3

so x=1,

substituting that into the former equation gives us y=10

Answer:

[tex]x \geqslant - 1[/tex]

Step-by-step explanation:

the arrow is facing to the right making the inequality greater than, the dot is closed so greater than or equal to, and the dot is on -1

Answer: X > -1

Step-by-step explanation:

Trust Bro

Answer:

a+b+x=180,sum of angles in a triangle

54+48+x=180

102+x=180

x=180-102

x=78

Answer:

1

Step-by-step explanation:

I think C(12,0) means 12 choose 0. If yes, then the answer is 1. There is only 1 way to pick 0. Or, you can calculate it with the form:

C(12,0) = [tex]\frac{12!}{0!(12-0)!}[/tex] ⇒

[tex]\frac{12!}{1*12!}[/tex] = 1

Answer:

SAS

Step-by-step explanation:

Hope this helps :)

Answer:

17

Step-by-step explanation:

12+5=17 ;-;

Answer:

17

Step-by-step explanation:

this is easy for f.ree points thanks

Answer:

There are 90 peach trees and 60 apple trees

Step-by-step explanation:

Answer:

All you have to do is add 11 four times and then add 18 four times. Then once you have added them up, you add those two numbers and that is how you get your answer.

Step-by-step explanation:

11+11+11+11= 44

18+18+18+18=72

44+72=116

116 is the answer

Answer:

Step-by-step explanation:

The Pythagorean theorem applies to right angled triangles only.

However, for any other triangle, by dropping a perpendicular from any vertex on to the opposite side, you form two right angled triangles both of which can be solved by the Pythagorean theorem.

So, the Pythagorean theorem applies to right angled triangles directly and to other triangles indirectly.

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Answer:

  right triangles

Step-by-step explanation:

The Pythagorean theorem relates the side lengths of a right triangle.

  c² = a² +b² . . . . . . . . for legs 'a' and 'b' and hypotenuse 'c'

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Additional comments

The more general form of the relation between side lengths of a triangle is given by the Law of Cosines:

  c² = a² +b² -2ab·cos(C) . . . . for sides 'a', 'b', and 'c' with angle C opposite side 'c'

You will notice this reduces to the Pythagorean relation when C = 90°.

__

Triples of integers that satisfy the Pythagorean relation are called Pythagorean triples. The smallest set (and the only sequential set) of these is (a, b, c) = (3, 4, 5). Other triples commonly seen in math problems are (5, 12, 13), (7, 24, 25), (8, 15, 17), and multiples of these.

Answer:

$300

Step-by-step explanation:

Front row: $225

Front row = 3 * balcony

225 = 3 * balcony

balcony = $225/3 = $75

One balcony ticket costs $75.

4 balcony seats = 4 * $75 = $300

Answer: $300

Answer:

763

Step-by-step explanation:

Not function because its a vertical line.