In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180

Proof:-

In ∆XYZ and ∆VWZ

[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]

Hence

∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)

Answer:

um

Step-by-step explanation:

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

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Answer:

A

Step-by-step explanation:

The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is 2x²+10x-48=0.

Here, x²+5x-24=0

x²+8x-3x-24=0

x(x+8)-3(x+8)=0

(x+8)(x-3)=0

(x+8)=0 and (x-3)=0

x=-8 and x=3

Therefore, option A is the correct answer.

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Answer:

  x = 10

Step-by-step explanation:

The diagonals of a rectangle are the same length. This means ...

  AC = BD

  x +6 = 2x -4

  10 = x . . . . . . . . add 4-x to both sides

The figure is a rectangle for x=10.

Answer:

y = -9

Step-by-step explanation:

Combine like terms first; 6y-8y=-2y and -8-6=-14  

-2y-14=4.

Then add 14 to both sides.

-2y=18

Lastly, divide both sides by -2

y=-9

Answer: = -9

Step-by-step explanation:

1. subtract -8-6 which equals -14

2. Combine like terms which are -8y and 6y and you should get -2y

3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18

4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2

5. and you should be able to cancel out -2y and get y= -9

We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.

So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).

Note that position is represented only with distance units, like km.

And to get a velocity you use the units km/h  (that tell you how many kilometers your position changes in one hour).

Similarly, the rate of change of the velocity will be (velocity)/time.

(km/h)/h = km/h²

Which is kilometers per hour squared.

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Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

Answer:

y>1/2x+2

Step-by-step explanation:

Answer:

100 is inital value of that decrease

Answer:

Step-by-step explanation:

The volume of the pool is given by ...

  V = LWH

Here, we have ...

  V = 2800 ft³

  H = 8 ft

  L = 3.5W

Filling in these values, we have ...

  2800 ft³ = (3.5W)(W)(8 ft)

  100 ft² = W² . . . . . . . . . . . . divide by 28 ft

  W = √(100 ft²) = 10 ft

  L = 3.5W = 35 ft

The pool is 10 ft by 35 ft.

Answer:

do you have any image of the question? If yes please pose here.

Answer:

See below:

Step-by-step explanation:

I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.

Answer:

8.2 CM

Step-by-step explanation:

ACCORDING TO THE MODEL

radius = 9*2 - 8*2

Diameter = 2 times radius

ok I cant too hard to explain because Im typing so its 8.2cm so

Answer:

4 - 30x

Step-by-step explanation:

10(2/5-3x)

(10 x 2/5) - (10 x 3x)

4 - 30x

Step-by-step explanation:

10 ×2/5 = 4

10 × -3x = - 30x

= 4 - 30x

Answer:

The answer is 2593.678

Step-by-step explanation:

The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Given the expression:

Take the LCM of the fraction to have:

[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]

Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

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Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Answer:

2.108*10^3

Step-by-step explanation:

13

x=15

because of the other one is the only thing

the first graph looks right

Answer:

Option D

Step-by-step explanation:

a/3 = 8/6

a × 6 = 8 × 3

6a = 24

a = 24/6

a = 4

Hence,

Option A is correct

Answer:

4

Step-by-step explanation:

cross multiply

a x 6=3 × 8

or,a=24/6

There fore a=4

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

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The experiment is not a binomial experiment because the number of trials is not fixed.

A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.

The conditions for a binomial experiment include:

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Hi there!

2  3  5  5  9  11  13  14  14  17  20  22  24  28

If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.

Count 6 from both sides and we get the middle two numbers to be:

13  14  

Take the average:

(13 + 14)/2 = 13.5

**This must be done if the amount of numbers given is EVEN.**

Answer:

Step-by-step explanation:

There are an even number of entries that make up the Data Set. (14 entries)

When you have an even number, you take the two entries that are at the center to find the median.

The values at the middle are entry seven which is 13 and entry eight, which is 14.

Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5

Otherwise I think you are correct.