MATHEMATICS MIDDLE SCHOOL

Triangle ABC is transformed to obtain triangle A′B′C′:(image below)

Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees

Answers

Answer 1

Answer: It would be the second answer

Answer 2

Answer:

Answer:

Option 2.

Step-by-step explanation:

I am flvs student and I took the EOC test and got it right hope it helped

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6x9 = (6 * 5) + (6
)
What is the missing number

Answers

Answer:

Step-by-step explanation:

Answer:

6x9=54=(6*5)+(6*4)

Step-by-step explanation:

6x9=54=(6*5)+(6*4)

6x9=54

54 is the number you are trying to get

6*5= 30

so now you need something to add up to 54

6*4=24

24+30=54

A store has a sale on books. The price is $17.55 for one book, $16.70 each for 2 books, $15.85 each for 3 books, and $15 each for 4 books. If this pattern continues, how much per book will it cost to buy 7 books

Answers

The cost for each book will be $\boxed{\$ 12.45}$ if the person buy 7 books.

Further explanation:

The arithmetic sequence can be expressed as follows,

${a_1}, {a_2}, {a_3}$ ......

Here, $a{\text{ or }}{a_1}$ represents the first term, ${a_2}$ represents the second term, and so on.

The common difference “d” can be obtained as follows,

$\boxed{d = {a_2} - {a_1}}$

The nth term can be obtained as follows,

$\boxed{{a_n} = a + \left( {n - 1} \right)d}$

Explanation:

The cost of a book is $\$ 17.55.$

The cost of a book is $\$ 16.70$ if the person buys 2 books.

The cost of a book is $\$ 15.85$ if the person buys 3 books.

The cost of a book is $\$ 15.00$ if the person buys 4 books.

The sequence is $\$ 17.55, \$ 16.70, \$ 15.85, \$ 15.00.$

The first term is $\$ 17.55,$ the second term is $\$ 16.70.$

The common difference “d” can be obtained as follows,

$\begin{aligned}d&={a_2} - {a_1}\n&=16.70 - 17.55\n&=- 0.85\n\end{aligned}$

The cost for each book if the person buys 7 books can be obtained as follows,

$\begin{aligned}{a_6}&= 17.55 + \left( {7 - 1} \right)\left( { - 0.85} \right)\n&= 17.55 + 6\left({ - 0.85} \right)\n&= 17.55 - 5.1\n&=\$12.45\n\end{aligned}$

The cost for each book will be $\boxed{\$ 12.45}$ if the person buy 7 books.

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic Sequence

Keywords: Store, books, price, $17.55, 2 books, 3 books each cost $16.40, pattern continues, cost, 7 books.

1 book is 17.55
2 books is 16.70
3 books is 15.85
4 books is 15
5 books is 4.15
6 books is 4.30
7 books is (3.55)

Factor x 4 y2 + x3y3

Answers

So I can’t really write here so here’s a picture of the answer.

Find the seventh term of each sequence
1, -3, 9, -27.....

Answers

multilply by negative three to find the next term. 1, -3, 9, -27, 81, -243, 729, which is the seventh term.

a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measured in feet and the origin is on the court directly below where the player hits the ball. for what distance from the player is the ball at least as high as the net, which is 8 ft high? if the player is 30 feet away from the net, is the ball likely to go over the net?

Answers

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

$y=-0.01x^2+0.5x+3$

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

$8=-0.01x^2+0.5x+3$

$8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100$

$800=-x^2+50x+300$

$-x^2+50x-500=0$

$x^2-50x+500=0$

we can use quadratic formula

$x=(-b\pm √(b^2-4ac))/(2a)$

$x=(-50\pm √(50^2-4\left(-1\right)\left(-500\right)))/(2\left(-1\right))$

$x=5\left(5-√(5)\right),\:x=5\left(5+√(5)\right)$

$x=13.82,x=36.2$

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

$y=-0.01(30)^2+0.5(30)+3$

$y=9ft$

we know that

height of net is 8 ft

so, the ball will go over the net

In triangle LMN, the measure of m_L =75°and m_M is one-half m_N. what is m_M?

Answers

Let m(<N) be x;
We have m(<M) = 1.5x;
We solve the equation: 75 + x + 1.5x = 180;
75 + 2.5x = 180;
2.5x = 105;
x = 105 ÷ 2.5;
x = 42;
Finally, m(<M) = 63 degrees;