Triangle ABC is transformed to create triangle MNO and triangle PQR as described below.
• MNO represents the translation 2 units left and 2 units down of triangle ABC.

• PQR represents the dilation of triangle ABC by a scale factor of 2
Which of these is correct?

A - The transformation of ABC to PQR preserves both the side lengths and angle measures of the triangle

B - The transformation of ABC to PQR preserves the side lengths but not the angle measures of the angle

C - The transformation of ABC to MNO preserves both side lengths and angle measures of the triangle

D - The transformation of ABC to MNO preserves the angle measures but no the side lengths of the triangle.

Complete Question:

On Monday, Sarah has to meet her friend at the park after school. The distance from her house to school is 2x + 5. The distance from school to the park is x. If the total distance she walks that day is 10x + 9, how far is it from the park back to her house?

Answer:

[tex] = 7x + 4 [/tex]

Step-by-step explanation:

Distance from her house to school = 2x + 5

Distance from school to park = x

Total distance walked that day including distance from the park back to her house = 10x + 9

Distance back to her house = total distance walked - (distance form her house to school + distance from school to park)

= [tex] (10x + 9) - ((2x + 5) + (x)) [/tex]

[tex] = (10x + 9) - (2x + 5 + x) [/tex]

[tex] = (10x + 9) - (3x + 5) [/tex]

[tex] = 10x + 9 - 3x - 5 [/tex]

Combine like terms

[tex] = 10x - 3x + 9 - 5 [/tex]

[tex] = 7x + 4 [/tex]

2/5 divided by 5/6 equals 12/25.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to divide 2/5 by 5/6, we multiply 2/5 by the reciprocal of 5/6.

Reciprocal of 5/6 = 6/5

Now, we can multiply the fractions:

[tex]\frac{2}{5} \times \frac{6}{5}[/tex]

[tex]= \frac{2 \times 6}{5 \times 5}[/tex]

[tex]= \frac{12}{25}[/tex]

Therefore, 2/5 divided by 5/6 equals 12/25.

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Answer:

It is 5! :)

:3

Answer:

simplest form is 5.

Step-by-step explanation:

4/1 / 4/5

4/1 * 5/4=20/4

20/4=10/2 or 5/1 or 5

5.

Answer:

It's a, b, and d

Step-by-step explanation:

Okay so, I just got the question and just answered it lol

its A, B, and D

so

[ Replace "a number" with the variable n]

[The two operations are multiplication and addition]

[The expression is written as 4n + 7]

Hope this helps! :)

The expression is written as n³ + 4 which represents "a number cubed" as a power, where the base is the variable, n, and the exponent is 3.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values.

As per the question, the phrase "A number cubed" is a power, where the base is the variable, n, and the exponent is 3.

"Increased by 4" means add 4.

⇒ n³ + 4

Thus, the expression is written as n³ + 4.

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Answer:

455 so its A

Step-by-step explanation:

Answer:

455

Step-by-step explanation:

861 - (182 + 224) = 861 - 406 = 455

Answer:

-12

Step-by-step explanation:

Let's replace that blank with x for now ;)

x - (-5) = -7

First, let's change that -(-5) to +5 because subtracting negatives is the same as adding.

x + 5 = -7

Subtract five from each side.

x + 5 = -7

   -5    -5

x = -12

So then we change that x back to the blank and fill it in with -12.

Let me know if this helped!

Answer:

14 +15 the answer is this

Answer: A square has two diagonals, they are equal in length and intersect in the middle. The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular. The diagonals of a square are the same length (congruent).

Step-by-step explanation:

Answer:

Question 2. 12% of 650 = 78

Step-by-step explanation:

100% = 1 in decimal form.

This is because finding 100% of something is the same as multiplying it by 1:

E.g. 100% of 10=10,  10x1 = 10

Therefore to find a percentage of something, we simply need to multiply it by the decimal form of that percentage. For example, if we were finding 50% of 10 (half), 50% in decimal form is 0.5, 10x0.5 = 5

The percentage here is 12%, we can find the decimal form by dividing it by 100, 12/100 = 0.12

So, in order to find 12% of 650, we just need to multiply 650 by 0.12:

650x0.12 = 78

12% of 650 = 78

Hope this helped!

Answer:

2,400

Step-by-step explanation: If a person can walk 5 meters per second and there are 60 seconds in a minute then you would multiply 5 by 60 and get 300. Then you multiply that by 8 and get 2,400.

Answer:

5 meters a second

60 seconds in a minute

5 x 60= 300

8 minutes

300 x 8 = 2400 meters in 8 minutes

Step-by-step explanation:

Answer:

so if you are looking for Mean, Range, and Median:

Median:44

Range:44

Mean: estimated: 44.6

Step-by-step explanation:

Answer:

If your looking for the M.A.D here

Step-by-step explanation:

Step 1. 45+43+45+44+44+44+47 =312

Step 2. 312/7 =44.57

Step 3.

45 - 44.57=0.43

43 - 44.57=1.57

45 - 44.57=0.43

44 - 44.57=0.57

44 - 44.57=0.57

44 - 44.57=0.57

47 - 44.57=2.43

Step 4.

0.43+1.57+0.43+0.57+0.57+0.57+2.43=6.57

Step 5.

6.57/7 = 0.93

Answer:

24 pencils : 64 pens

Step-by-step explanation:

pencils : pens

12:32

Twice as many pencils mean multiply each by 2

12*2 : 32*2

24: 64

24 pencils : 64 pens

Answer:

B

12x2=24

32x2=64

Answer:

3(5x+7)

Step-by-step explanation:

15x+21

3(5x+7)

Answer:

3(5x + 7)

Step-by-step explanation:

15x + 21

3(5x + 7)

Answer:

x=-10

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

Answer:

a) 14.11 dollars (b) 204 dollars

Step-by-step explanation:

(a) 500 - 211 = 289    289 '/. 17 = 14 r:7  14.7 dollars

(b) 17 x 5 = 85   289 - 85 = 204

hope this helped :)

Answer:

If they are not collinear, then the three points are coplanar.

Step-by-step explanation

Contrapositive is the negative + opposite of the original statement.

Answer:

6 represents the number of people among which the balls and jacks will be split.

4 represents the number of balls.

10 represents the number of jacks.

Step-by-step explanation:

This is the PLATO answer, hope it helps :)

Answer:

6

Step-by-step explanation:

Answer:

It’s 42

Step-by-step explanation: when Quinn return home, it was 0 minutes he turned on the air conditioner. So temperature at that time is equal to value of Q when t=0

Q=42-0.7t

=42-0.7(0)

=42

Answer:

42

Step-by-step explanation:

Answer:

if we dont see a numer in front of a variable it is just 1

Step-by-step explanation:

so for example if you had x^2

it would be 1x^2

m = amount of money you receive

You need at least $40, so that means you need m = 40 or more

So [tex]m \ge 40[/tex] which is the same as saying [tex]40 \le m[/tex]. You flip both sides and also flip the inequality sign as well.

At the same time, your parents won't give you more than $50. So the largest m can get is m = 50. This means [tex]m \le 50[/tex]

-----------------

Combine [tex]40 \le m[/tex] and [tex]m \le 50[/tex] to get the compound inequality [tex]40 \le m \le 50[/tex]

This represents all the possible values of m. We see that m can get as small as m = 40, or as large as m = 50, or anything in between.

------------------

Answer: [tex]40 \le m \le 50[/tex]

Answer:

I think it is 5.

Answer:

Answer is 5

Step-by-step explanation:

Doing the quiz go tq00% just wanted to help people hope this helps yall.

Answer:

442

Step-by-step explanation:

If you want to decrease 520 by 15%, you have to multiply 15% by 520 first, which is 78. Next, you have to minus 78 from 520. Now you get 442!

The number is 442 which is obtained after decreasing 520 by 15% the answer is 442.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let x be the number that is obtained after decreasing 520 by 15%

= (100 - 15)% of 520

= 85% of 520

= 0.85×520

= 442

Thus, the number is 442 which is obtained after decreasing 520 by 15% the answer is 442.

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Answer:

5

Step-by-step explanation:

Step-by-step explanation:

a. We have v as the amount of drug(mg) in the blood at time t (hrs)

b. Flow rate in = k litre/he

For a circulatory system we have the flow rate in and flow rate out to be the same

Therefore,

Flow rate out = k litre/hr

concentration of drug going in = 0mg/litre

Concentration of drug going out = v mg/litre

V(0) = 20mg since 20mg was taken at midnight

V(0) = 20

Half life t1/2 = 36 hours

V(36) = v(0)/2

= 20/2

= 10mg

C. [tex]ivp = \frac{dv}{dt}[/tex][tex]= -kv[/tex]

[tex]v(0) = 20mg\\v(36) = 10mg[/tex]

d. solution

[tex]\frac{dv}{dt} = -kt\\ln(v) = ln(c) - kt[/tex]

[tex]\frac{v}{c} = e^{-kt} = v=ce^{-kt}[/tex]

v(0) = 20

[tex]ce^{-k(0)} =20[/tex]

c = 20

so

[tex]v(t) = 20e^{-kt}[/tex]

e.

[tex]t\frac{1}{2}=36hours\\ v(36)= 10[/tex]

[tex]10 = 20e^{-36k}[/tex]

[tex]\frac{1}{2} =e^{-36k}[/tex]

we take log

[tex]k=\frac{ln(2)}{36}[/tex]

please check attachment for answer f

Answer:

jadi kakak pilih 4×16

karena:

4×16×4 = 256

Step-by-step explanation:

thanks you

i'm sorry ya kalo salah

Step-by-step explanation:

;x = 0, 1, 2, ....n

Answer:

30 degrees

Step-by-step explanation:

a linear pair adds up to 180 degrees. therefore, you can compose the equation 2x+10x=180

12x=180

x=15

the smaller angle is 2x, so 2 times 15 is 30