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

- 100 point question

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:

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:

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:

51.2

Step-by-step explanation:

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

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.

For more about the equation

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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:

negative 10 less than x

-10 < x

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:

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

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:

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

Answer:

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

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:

$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:

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:

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:

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

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]

Learn more about the equivalent expression here;

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Answer:

C

Step-by-step explanation:

good luck

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:

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:

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.

Learn more about the function visit:

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Answer:

28+7y

Step-by-step explanation:

7(4+y) = (7 · 4) + (7 · y)

= 28 + 7y

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

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 :)

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 $\boxed{E}$.