Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units. To verify that the transformation is a dilation, Jeremy should also check which of the following? Select three options.

1. QB = 1/2QE
2.QC = CF
3. DE = 2AB
4. AC = 1/2EF
5. if BC = 2.25, then EF = 2.25

Answer:

  4

Step-by-step explanation:

The number each friend will get is the total number divided by the number of friends:

  (20xy -10x²)/5x = (4y -2x) = 2(2y -x)

__

For x=6 and y=4, the number each friend will get is ...

  2(2×4 -6) = 2(2) = 4

Mary will give 4 sweets to each friend.

Answer:

4 and 5

Step-by-step explanation:

n + 1 > 4

n > 4 - 1

n > 3

For the set { 1, 2 , 3 , 4, 5 }, 4 and 5 are greater than 3.

Hence, 4 and 5 makes the inequality n + 1 > 4 true.

Answer:

40 feet

Step-by-step explanation:

d = 1/2 at^2      sub in d = ?      a =  5      t =  4

d = 1/2 * (5)(4)^2

d = 40 feet

Answer:

[tex]y=3\cos(\frac{8}{7}x)+2[/tex]

Step-by-step explanation:

Recall

We are given that the amplitude is [tex]a=3[/tex] and that the equation of the midline is [tex]d=2[/tex]. Since we know the period to be [tex]\frac{7\pi}{4}[/tex], we need to solve for [tex]b[/tex] by setting up the equation [tex]\frac{7\pi}{4}=\frac{2\pi}{|b|}[/tex]:

[tex]\frac{7\pi}{4}=\frac{2\pi}{|b|}\\\\7\pi b=8\pi\\\\b=\frac{8}{7}[/tex]

Hence, our cosine function will be [tex]y=3\cos(\frac{8}{7}x)+2[/tex]. See the attached graph for a visual.

The motion of a pendulum for which the maximum displacement from equilibrium varies is an example of simple harmonic motion is false.

A harmonic motion of constant amplitude in which the acceleration is proportional and oppositely directed to the displacement of the body from a position of equilibrium

The statement "The motion of a pendulum for which the maximum displacement from equilibrium varies is an example of simple harmonic motion. " is false.

As, motion of simple pendulum is an example of simple harmonic motion.

But the equilibrium should not varies, then it would be simple harmonic with damped oscillations.

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Answer:

If the lines area parallel: x = 69 degrees

Step-by-step explanation:

Answer:

x equals 49°.

outside exterior angle

Answer:

Can't read it.

42 if the base is 6 and the 7 is height, while if the base is 7 and the 2 is height the answer is 12 , then , if the 2 is base and then the 6 is height the answer is 12 again

Step-by-step explanation:

thats all

Answer:

2000 kg.

Step-by-step explanation:

Density = mass / volume

-->  mass = density * volume

-->  mass =  40 * 50

-->  mass = 2000 kg.

Answer:

7.5

Step-by-step explanation:

7.5

[tex] \sqrt{30} [/tex]

- 28

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

20

- 20

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

0

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

(Not a square root! I just used it to show how its being divided. And also on the left of the '30' is a 4, so 30 divided by 4 and so on.)

Sorry if the answer looks messy!

Answer:

15/2

Step-by-step explanation:

If you need to simplify it/it can't be a decimal then 15/2 would be your answer.

Work:

30/4 = 7.5 (decimal)

15 times 2 = 30 (15 goes into 30 twice evenly)

15/2 is the simplest you can make it without it being uneven.

15/2

The effective cost per share for your shares based on the information given will be $24.50.

It should be noted that an effective cost per share simply means the exchange of a common stock equivalent when a share is sold.

In this situation, the stock closed at $24.50 at expiration and the option was assigned. Therefore, the effective cost per share for your shares is $24.50

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Answer:

Step-by-step explanation:

22.36067977

Answer:

Each sandwich costs $5.12

Step-by-step explanation:

Six sandwiches is $30.72

Divide 30.72 by 6 and you get 5.12

That means that each sandwich costs $5.12

Answer:

if angle 1 is 127

then angle 5 is 635

Step-by-step explanation:

that's it b is for brings

b compliment is for doesn't bring

At first glance, you'll notice that the line is going from left to right which tells us that the slope will be negative therefore the bottom option can be eliminated.

Knowing that the formula for slope is rise over run, you'll notice that the lines rises by -8 and runs by 3 which means that the slope would be -8/3.

This leaves us a final answer of  [tex]y=-\frac{8}{3}x-4[/tex]

Answer:

3

Step-by-step explanation:

Given the question :

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

From the context of the expression:

n is the distance which exists between 1 1/2 and 3 units from it;

Which may be ;

1 1/2 - - - - (1 1/2 + 3) = 4 1/2

1 1/2 - - - - - (3 - 1 1/2)

Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.

Hence, n = 3

Answer:

11.1%

Step-by-step explanation:

buy 100 shirts at 2700

each shirt = 2700/100 = $27

sell at $30 each

mark up = (30-27)/27 = 3/27 = 1/9 = 11.1%

Answer:

300 profit

Step-by-step explanation:

Answer:

The answer would be 0.83 repeated decmal

Step-by-step explanation:

All you got to do is divide the two numbers and it'd give you 0.83 repeated decmal

Answer:

a. What is the probability of the number being between 2-7?

Step-by-step explanation:

i just have a feeling

The probability of the events are given as 0.6 and 0.2 respectively.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

(a) The total number of elements in sample space are 10.

Then, the probability of getting numbers from 2 - 7 is given as,

P(numbers 2-7) =  Number of favorable outcomes ÷ Total outcomes

⇒ 6 ÷ 10 = 0.6

(b) The multiples of 5 are given as 5 and 10

Then, P (Multiple of 5) = Number of favorable outcomes ÷ Total outcomes

⇒  P (Multiple of 5) = 2/10 = 0.2

(c) The complement of selecting one element represents the selection of all remaining elements in the sample space.

Thus, complement of 9 represents selection of all the remaining numbers  from 1 to 10.

(d) For the probability of 3/10, the question can be asked as to find the probability of selecting numbers from 1 to 3.

Hence, the probabilities of the given events can be found by taking the ratio of favorable outcomes to the total outcomes.

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The initial value and base value are 12 and 4/3. The function is a growing function. The domain and the range of the function are real numbers.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The exponential function is given below.

f(x) = 12(4/3)ˣ

Then the initial value of the exponential function is 12.

Then the base value of the exponential function is 4/3.

If the base value if greater than 1 then the function is a growing function.

The domain and range of the function are real numbers.

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Answer:

1 5/6 yards of fabric.

Step-by-step explanation:

4 1/3 = 13/3

2.5 = 5/2

13/3 - 5/2 = [tex]\frac{26-15}{6} = 11/6[/tex]

Answer: 20%

Step-by-step explanation:

Answer: x = 6

Step-by-Step Explanation:

=> -9x + 2x + 32 = -10

= -7x + 32 = -10

= -7x = -10 - 32 = -42

=> x = -42/-7 = 42/7 = 6

Therefore, x = 6

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

-9x+2x+32=-10. what is x?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer \& How to solve:-}}}[/tex]

   When solving an equation, we need to make sure all variables are on the

    left-hand side, and all numbers are on the right-hand side.

    There are numbers on both sides, so we need to move all of them to the right.

  [tex]\bold{-9x+2x=-10-32}[/tex]

[tex]\bigstar[/tex] On simplification,

        [tex]\bold{-9x+2x=-42}[/tex]          Next, combine like terms (-9x+2x).

[tex]\bigstar[/tex] On further simplification,

   [tex]\bold{-7x=-42}[/tex]                Next, divide by -7 on both sides.

[tex]\bigstar[/tex] Which results in

[tex]\bold{x=6}[/tex]

It's always a good idea to make sure the solution is correct.

We can check that by substituting the value of x (x=6) in lieu of x (into the original equation) and seeing whether or not we have a true statement:-

[tex]\bold{-9(6)+2(6)+32=-10}[/tex]

[tex]\dagger[/tex] On simplification,

[tex]\bold{-54+12+32=-10}[/tex]

[tex]\dagger[/tex] On further simplification,

[tex]\bold{-42+32=-10}[/tex]

[tex]\dagger[/tex] Which results in

[tex]\bold{-10=-10}[/tex]

LHS=RHS, so our solution is indeed correct.

So we conclude that [tex]\boxed{\bold{x=6}}[/tex].

[tex]\rule{300}{2}[/tex]

Answer:

60 peanuts and 24 raisins.

Step-by-step explanation:

First work out the divisor which is  5 + 2 = 7.

84 / 7 = 12.

So  there are 12 * 2= 24 raisins and 5 * 12 = 60 peanuts.

Answer:-30

Step-by-step explanation:kinda hard to tell a little shaky so sorry if it is wrong.