Which of the following angles are congruent?
L
»
M
0
»
O
ZMOL = ZMON
O ZMNO = ZLOK
OZLKO ZNMO
K
N

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given that the equation is 25ˣ = 5ˣ²⁻³.

To solve the equation, take logs on both sides, we get,

x log(25) = (x²- 3)log5

2x log 5 = (x²- 3) log5

2x = x²-3

x²- 2x -3 = 0

Now, factorize the quadratic equation,

we get,

x² - 3x + x - 3 = 0

x(x- 3) + 1(x - 3) = 0

x = 3 or -1.

Therefore, x = 3 or x = -1.

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We need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder

The amount of each volume m = CV where

The amount of 50 % mixture, m = amount of 100 % powder + amount of 20 % powder.

M = m + m'

CV = C'V' + C"V" where

So, CV = C'V' + C"V"

0.5V = 1 × V' + 0.2 × 4

0.5V = V' + 0.8  (1)

Also, we have that the total volume V = V' + V"

V = V' + 4 (2)

Substituting equation (2)into (1), we have

0.5V = V' + 0.8

0.5(V' + 4) = V' + 0.8

0.5V' + 0.5 × 4 = V' + 0.8

0.5V' + 2 = V' + 0.8

0.5V' - V' = 0.8 - 2

-0.5V' = -1.2

V' = -1.2/-0.5

V' = 2.4 mL

So, we need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder

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Answer:

is it radius or diameter?

Answer:

42.9%

Step-by-step explanation:

The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].

If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].

So, if we now multiply this fraction by 100, we will get the percentage amount:

[tex]\frac{45}{105} * 100 = 42.9[/tex]

This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.

Answer:

Carton receive:

42.86%    (aprox)

Step-by-step explanation:

45 + 60 = 105

total votes = 105

Carlton received 45 votes

then:

45/105 = 0.4286       (aprox)

0.4286*100 = 42.86%

Answer:

no

Step-by-step explanation:

if I use any numbers too  .the numbers can not be constant numbers so this equation is not a direct variation

7 - 5 = 2

6- 4 = 2                                                        

not contstant

Answer:

It is an obtuse triangle I think because

Answer:

9

Step-by-step explanation:

Answer:

The answer is the second choice: 2, 3, 6, 13, 16.

Step-by-step explanation:

Which set of numbers that has an average of 8. To find the mean, which is the same as average, we have to add the number and divide by how many numbers there are. Let's check the first set of numbers:

3+5+7+8+12=35. 35/5=7. So, we can cross out the first choice.

Let's check the second one:

2+3+6+13+16=40. 40/5=8.

The answer is the second choice: 2, 3, 6, 13, 16.

Hope this helps!

If not, I am sorry.

Answer:

Its B

Step-by-step explanation:

If you add up all the numbers and divide by the number of numbers their is your answer

Answer:

105

Step-by-step explanation:

Angles HJG and HJG form a straight line so they add to 180

< HJG  + < FJG  = 180

75 + <FJG = 180

<FJG = 180-75

<FJG = 105

Answer:

C) 105

Step-by-step explanation:

HJG and KJF are vertical angles so they both equal 75 degrees.

A line is 180 degrees so 180-75=105 so 105 = is FJG

The correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that:-

We have the data from the question that the temperature of Bangkok is hotter than cape town.

Bangkok > Cape town

And the temperature of Cape town is hotter than Moscow.

Cape town > Moscow

Now for both the statements, the inequality will be given as:-

Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

Therefore the correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

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Answer:

The last option that starts with (1,-1)

Using the Fundamental Counting Theorem, it is found that the number of outcomes possible in this scenario is given by:

D. 240.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The number of options for each selection are given as follows:

[tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 2[/tex]

Hence the number of outcomes is given by:

N = 6 x 4 x 5 x 2 = 240.

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Answer:

College dropout is the greatest album of all-time

Answer:

Aubree can use 4.6 gigabytes of data while staying within her budget.

If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.

Step-by-step explanation:

x= gigabyte

58.50 + 3x = 72.30

3x = 72.30-58.50

3x= 13.8

x= 4.6

Answer:

c =  68 m

Step-by-step explanation:

To find the hypotenuse 'c' use Pythagorean theorem

       hypotenuse² = base ² + altitude²

                    c²       = 60² + 32²

                               = 3600 + 1024

                               = 4624

                  [tex]\sf c=\sqrt{4624}\\\\ c= \sqrt{2*2*2*2*17*17}=2*2*17\\\\\boxed{\bf c = 68 \ m }[/tex]

The Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza.

Cost for 12 slices = 12×1.25 = $15

Total cost = 20 + 15 = $35 (for this month if  she bought 12 slices of pizza)

The monthly cost for x slices of pizza:

= 1.25x + 20

x is the number of slices

Thus, the Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)

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The equation would be y = kx with k being a constant.

Assuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.

Mathematically,

y = kx where k = constant.

If y = 19.6 Newtons and x = 2 kg, then

k = y/x = 19.6/2 = 9.8.

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From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up. the correct option is C.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Given;

Suppose that g(x) = f(x) + 6.

From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up.

Hence, the correct option is C.

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The complete question is

"Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?

A) The graph of g(x) is the graph of f(x) shifted 6 units down.

B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.

C) The graph of g(x) is the graph of f(x) shifted 6 units up.

D. The graph of g(x) is the graph of f(x) shifted 6 units to the right."

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Answer:

17

Step-by-step explanation:

Solution

The distance between each marker is 2. So going upwards 9+2 = 11

11 + 2 = 13

13 + 2 = 15   But we still have 1 more space to go.

15 + 2 = 17

Answer:

Inequality: 64+C[tex]\geq 120\\\\[/tex]

               - 64.       -64

We subtract to isolate variable

Solution: [tex]C\geq 56[/tex]

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

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Answer:

a^2+b^2=c^2

Step-by-step explanation:

You can apply this formula to any quadratic equation.

The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.

Take a look at this triangle labeled, a, b, c. (attachment)

Side a and b are called the legs. The largest side,  c  is called the hypotenuse.

In order to find a side, we have to use the formula…

Let’s do an example.

Consider the following triangle.

(attachment)

We want to find side c, which is actually the hypotenuse as it is unknown.

In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.

[Math Processing Error]

What does 13=c mean? It means that the missing side, c, from the triangle above is 13.

Answer:

dependent: your distance from home

independent: number of miles you walk

Step-by-step explanation:

lmk if you want an explanation

Answer:

x = 4

Step-by-step explanation:

The figure in the picture is a parallelogram. In parallelograms diagonals bisect each other. That means that they divide each other in half. That means that 6x + 1 is the same as 4x + 9.

6x + 1 = 4x + 9

2x + 1 = 9

2x = 8

x = 4

The quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.

In the question, we are given an exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) and are asked to find the quotient of it.

To find the quotient, we will try to simplify the equation using the laws of exponents in the following way:-

(-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰),

= (-4/5)(a⁽⁸ ⁻ ⁽⁻⁴⁾⁾b⁽⁻² ⁻ ⁽⁻¹⁰⁾⁾) {Using the law of exponent: [tex]\frac{x^{a} }{x^{b} } =x^{(a-b)}[/tex] }

= (-4/5)(a¹²b⁸).

Therefore, the quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

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Answer:

I did 700 - 15% times that answer by 6 and u get that big answer.

The required amount Ahmet needs to pay after 6 years is $1619.14.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Principal = P rate= r Time =a  , n = compounding frequency

Here,

From the given data,
P = 700, r = 15% and t = 6 (n =1)

Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14

Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.

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Using proportions, it is found that the amount that netball will receive is of:

B. $240,000

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Due to the ratios, the proportion of funding that is destined to netball is given by:

[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]

Hence, out of $1.200,000, the amount destined to netball is:

A = 0.2 x $1.200,000 = $240,000.

Which means that option B is correct.

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Answer:

A).

Step-by-step explanation:

The numbers should be in consecutive order e.g. - 6.2 6.3 6.4

Answer:26

Step-by-step explanation: