A side of the triangle below has been extended to form an exterior angle of 79°. Find the value of x. ??????

- 100 point question

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

[tex]2^{8p}=2^{5p+15}[/tex]

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

[tex]16^{2p}=32^{p+3}[/tex]

Write both the equation in the form of same base number as,

[tex](2^4)^{2p}=(2^5)^{p+3}[/tex]

The power of the power of a number can be written as product of both the numbers. Thus,

[tex](2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}[/tex]

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

[tex]8p=5p+15[/tex]

Solve it further to find the value of p as,

[tex]8p-5p=15\\3p=15\\p=5[/tex]

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

[tex]2^{8p}=2^{5p+15}[/tex]

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Answer:

C

Step-by-step explanation:

good luck

Answer:

x = 2

y = -3

Step-by-step explanation:

make them equal to each other

x-5 = -7x + 11

8x = 16

x = 2

put 2 back in the equation to get y

y = 2 - 5

y = -3

Answer:

x = 2

y = -3

Step-by-step explanation:

Solve using substitution.

Substitute x-5 for y:

x - 5 = -7x + 11

Add 7x to both sides

8x - 5 = 11

Add 5 to both sides

8x = 16

Divide both sides by 8

x=2

Plug 2 back in for x to solve for y:

y = x - 5 = 2 - 5 = -3

(x, y)=(2, -3)

Answer:

1

Step-by-step explanation:

how many times does 1 goes to 1 which is equal to 1

1 x 1 = 1! I'm happy to help ;)

Answer:

14/42, 56/168, 77/231, ...

Step-by-step explanation:

By multiplying both the nominator and the denominator by a same number, we get a different fraction but is equal to the fraction at the start.

7/21 = 7x2/21x2 = 14/42
7x8/21x8 = 56/168
7x11/21x11=77/231

Hope this helps :)

keeping in mind that tangent lines to the same circle when intersecting each other outside the circle are the same length, Check the picture below.

Answer:

$427,500 dollars

Step-by-step explanation:

Given the following question:
Initial price = 450,000
5% discount

In order to find the answer, we simply find 5% of 450,000.

[tex]\frac{5\times450000}{100} =5\times450000=2250000\div100=22500[/tex]
[tex]450000-22500=427500[/tex]
[tex]r=427500[/tex]

The radio (after a 5% discount) costs "$427,500 dollars."

Hope this helps.

Answer:

negative 10 less than x

-10 < x

Answer:

$ 3937.5

Step-by-step explanation:

First, we convert 1.25% into a decimal.

That would be .0125.

Now we multiply the decimal with the whole number to find our answer.

315000 × .0125 = 3937.5

Therefore, 3937.5 would be the amount of her commission.

-kiniwih426

Answer:

w=2

Step-by-step explanation:

[tex]6w= 18-3w[/tex]

[tex]6w+3w=18-3w+3w[/tex] (Add 3w to both sides)

[tex]9w=18[/tex]

[tex]\frac{9w}{9}=\frac{18}{9}[/tex] (Divide both sides by 9)

[tex]w=2[/tex]

Hope this helps!

Hey there!

6w = 18 - 3w

18 - 3w = 6w
-3w + 18 = 6w

SUBTRACT 6w to BOTH SIDES

-3w + 18 - 6w = 6w - 6w

SIMPLIFY IT!

-9w + 18 = 0

SUBTRACT 18 to BOTH SIDES

-9w + 18 - 18 = 0 - 18

CANCEL out: 18 - 18 because it gives you 1

KEEP: 0 - 18 because it help solve for the w-value

NEW EQUATION: -9w = 0 - 18

SIMPLIFY IT!

-9w = -18

DIVIDE -9 to BOTH SIDES

-9w/-9 = -18/-9

CANCEL out: -9/-9 because it gives you 1

KEEP: -18/-9 because it give you the x-value

NEW EQUATION: x = -18/-9

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

What are you asking of us? To work out the value of X and Y?

Answer:

75 units²

Step-by-step explanation:

Bigger rectangle: length * width

                           : 10 * 9

                           : 90 units²

smaller rectangle: length * width

                             : 3 * 5

                             : 15 units²

Shaded region = Bigger rectangle - smaller rectangle

                         =     90 units²      -     15 units²

                         =        75 units²

Total balls will be 14, dodge balls will be 20 and the number of other balls will be 36.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In another word, the equation is a set of variables that have been constructed.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total ball will be the sum of dodge ball + other ball so it will be

5 + 9 = 14

The number of pumped up for a single ball

56/14 = 4

So the number of Tlaloc pumps of dodge ball will be  5 × 4 = 20.

Number of Tlaloc pump of other ball = 9 × 4 = 36.

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Answer:

Volume: 512cm

Surface Area: 384 cm

Step-by-step explanation:

Volume formula: V= length x width x height

Surface Area formula: A= 6a^2 ; a = edge

Answer:

Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns    x +   y =   21  5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105  5x + 10y =  165 Now we combine (add) the equations, which eliminates x altogether.  5y = 60   ...   y = 12 From there, x + 12 = 21  ...  x = 21-12  ...  x = 9 You should double check.  Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.

Answer:

On each face, there are $2$ diagonals like $x$. There are $6$ faces on a cube. Thus, there are $2\times 6 = 12$ diagonals that are "x-like".

Every "y-like" diagonal must connect the bottom of the cube to the top of the cube. Thus, for each of the $4$ bottom vertices of the cube, there is a different "y-like" diagonal. So there are $4$ "y-like" diagonals.

This gives a total of $12 + 4 = 16$ diagonals on the cube, which is answer {E}

Step-by-step explanation:

There are $8$ vertices on a cube(A, B, C, D, E, F, G, H). If you pick one vertice, it will have 7 line segments associated with it, so you will have $\frac{8\cdot7}{2} = 28$ segments within the cube. The division by $2$ is necessary because you counted both the segment from $A$ to $B$ and the segment from $B$ to $A$.

But not all $28$ of these segments are diagonals. Some are edges. There are $4$ edges on the top, $4$ edges on the bottom, and $4$ edges that connect the top to the bottom. So there are $12$ edges total, meaning that there are $28 - 12 = 16$ segments that are not edges. All of these segments are diagonals, and thus the answer is $\boxed{E}$.

Answer:

x=7

Step-by-step explanation:

we have,

7x-7=4x+14         use the transposing method

7x-4x=14+7

3x=21

x=21/3

x=7

can you mark me brainliest please

Premium rates are usually for  premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

[tex]\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\[/tex]

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

[tex]\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun[/tex]

Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202

Learn more about calculating annual premium cost here:

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Answer:

the drama club will have 108 slices left.

Step-by-step explanation:

19 x 6 = 114

114 - 6 = 108

108 Slices are left behind.

Answer:

x<1.5.

Step-by-step explanation:

hope this helped <3

The graph of function f (x) = 2ˣ - 3 is shown in figure.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 2ˣ - 3

Now, We get;

At x = 1;

⇒ f (x) = 2ˣ - 3

⇒ f (1) = 2 - 3 = - 1

At x = 2;

⇒ f (x) = 2ˣ - 3

⇒ f (2) = 2² - 3 = 1

Hence, The graph is passing through (1, - 1) and (2, 1).

Thus, The graph of function f (x) = 2ˣ - 3 is shown in figure.

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Answer:

x = 30

Step-by-step explanation:

5x and 3x + 60 are co-exterior angles. To make A and B parallel, they should congruent (equal}

5x = 3x + 60

5x - 3x = 60

2x = 60

  x = 60/2

 x = 30

Checking:

5x = 5*30 = 150

3x + 60 = 3*30 + 60 = 90 + 60 = 150

Answer:

Step-by-step explanation:

[tex]Cos \ 76 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.2419=\dfrac{x}{28}\\\\\\0.2419*28=x\\\\\\x=6.7732[/tex]

x =6.8 ft

Answer:

Step-by-step explanation:

We need to know the volume of the tank.  If the volume, X (in liters), is given in cm^3, convert the value to liters (1 liter = 1,000 cm^3).  Then take the tank volume and divide by 30 liters/min:

X liters/(30 liters/min) = X/30 minutes

Answer:

options 1 & 4

Step-by-step explanation:

The difference of 5 and 3:

5-3

One fourth of this difference:

(1/4) × (5-3)

Hope this helps

Answer:

28+7y

Step-by-step explanation:

7(4+y) = (7 · 4) + (7 · y)

= 28 + 7y

Answer:

gradient = 1

y-intercept = 4

Step-by-step explanation:

the equation for a linear graph is y = mx+c, where m is the gradient, and c is the y-intercept.

hence, the gradient of the equation is 1 and the y-intercept is 4.

Answer:

51.2

Step-by-step explanation: