solve the following equation in terms of x.

20x - 3y = z

As angles opposite congruent sides in a triangle are congruent, and also since the interior angles of a triangle add to 180 degrees, if we let angle EFG have a measure of x, then angle GEF also measures x, and thus:

82+x+x=180

2x=98

x=49

Thus, angle EFG is 49 degrees.

So, by the exterior angle theorem, angle DEG measures 82+49=131 degrees

Answer:

x = - 6 , x = 4

Step-by-step explanation:

the absolute value function always gives a positive value but the expression inside can be positive or negative , that is

2x + 2 = 10 or - (2x + 2) = 10

solving both

2x + 2 = 10 ( subtract 2 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x + 2) = 10

- 2x - 2 = 10 ( add 2 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

1). Option C

2). Option A

Polygon is given as a closed two-dimensional figure with three or more straight lines.

The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)

After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).

By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.

Therefore, polygon ABCDE has been reflected across the y-axis.

Option C. is the answer.

If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be

M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)

N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)

O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)

P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)

Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)

Thus, Option A. is the correct option.

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Answer:

Step-by-step explanation:

the

Answer: Choice [D] - "power of a power" ✅

Step-by-step explanation:

Hii, do you need to know which law you should use to simplify [tex]\sf\bigg(x^4\bigg)^9[/tex]?

No problem!

The law we will use here is "power of a power".

What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. ([tex]\boldsymbol{4\cdot9}[/tex])

So the right answer is: Choice [D] - "Power of a power"

The simplified answer is [tex]\LARGE\boldsymbol{x^{4\cdot9}=x^{36}}[/tex]

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.}[/tex]

--

Answer:

There are no solutions

Step-by-step explanation:

If y is greater or equal to 3x+1 it can not be less than 3x-3 since 3x-3 is 4 less than 3x+1. Therefore, there can not be any solutions for the system of inequalities.

Answer:

44 pears and 52 apples

Step-by-step explanation:

pears are 8 more than apple so 52-8 = 44

Number of apples and pears in a box is equals to [tex]30[/tex] and [tex]22[/tex] respectively.

" Number is defined as the count of any given quantity as per given condition."

According to the question,

Given,

Total number of apples [tex]= 52[/tex]

[tex]'x'[/tex] represents the number of pears

[tex]'x+ 8'[/tex] represents the number of apples

As per the given condition required equation we get,

[tex]x + x + 8 = 52\\\\\implies 2x = 52-8\\\\\implies x = \frac{44}{2} \\\\\implies x = 22[/tex]

number of pears [tex]= 22[/tex]

number of apples [tex]= 22+8[/tex]

                              [tex]=30[/tex]

Hence, number of apples and pears in a box is equals to [tex]30[/tex] and [tex]22[/tex] respectively.

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The function over the interval is an increasing exponential function.

A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".

The complete question is

An investment group compares returns on an account

against the function represented in the table, where x is the

time in years and f(x) is the total return on investment.

Which describes the function over the interval given in the

table?

х

a decreasing quadratic function

an increasing quadratic function

a decreasing exponential function

an increasing exponential function

0

5

f(x)

10,000

12,201.90

14,888.64

22,167.15

10

20

A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. So, time in years change does not give maximum total return on investment.

For increasing quadratic equation, the graph increasing at one side of the axis and decreases at other side.

For, Exponential function          

When the exponential function then it shows total return on investment is not maximum.

When the exponential function is increasing it shows time goes, total return on investment is maximum.

Hence, the exponential function is increasing.

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Step-by-step explanation:

domain XER\{2kπ},kE

Answer:

g(x) = x^2+4

Step-by-step explanation:

The graph of f(x) = x^2 is translated up 4 units to become g(x) = x^2+4

The statement that is most likely true is , The mean is less than the median because the data is skewed to the left.

Option  E is the correct answer.

The method of representing the variation in a data set is called a Box and Whisker Plot .

A data distribution in which the data is skewed to the left

the mean is less than the median.

A data distribution in which the data is skewed to the right

the mean of the data is greater than the median.

It is given in the question that

The distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value.

this means data is skewed to the left,

Therefore, the statement that is most likely true is , The mean is less than the median because the data is skewed to the left.

Option  E is the correct answer.

The complete question is

Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first

quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?

The mean is greater than the median because the data is skewed to the right.

The mean is greater than the median because the data is skewed to the left.

The mean is less than the median because the data is skewed to the right

The mean is less than the median because the data is skewed to the left.

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Answer:

hope this is helpful.

putting values of X and y in the equation

Answer is 12

Answer:

answer is 39

Step-by-step explanation:

So, we start with the original problem:

3

x

2

−

4

y

2

Then we substitute the given

x

and

y

values into the expression:

3

(

5

)

2

−

4

(

3

)

2

Now, according to the order of operations, we simplify the exponential powers first, thus, reducing the expression to this:

3

(

25

)

−

4

(

9

)

Then, we use the order of operations again and do the multiplication next:

75

−

36

We then use the order of operations a final time and finish off the expression with subtraction:

39

Answer:

B. [tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]

Step-by-step explanation:

[tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]

2x - 13 = -13 + 2x

2x - 13 = 2x - 13

As both sides are equal, any value can be substituted for x, and hence it has infinitely many solutions.

Answer:

B. 1/13(26x - 169) = 1/12(-156 + 24x)

Step-by-step explanation:

When looking for an equation with infinetly many solutions, we are looking for an equation that is true when simplified

such as: 3c = 3c

or x - 10 = - 10 + x

this is because any value that we put in for x will simplify to a true equation (will be a solution)

so, let's examine the options:

A. if we combine like-terms on both sides, we will end up with                                23 + 32x = 32x + 26

which is false, for any value that we put in for x

B. this statement is true--regardless of the value for x.

1/13 · 26 is the same as 1/12 · 24 (both equal 2; so both sides would distribute to 2x)

1/13th of -169 is -13; and 1/12th of -156 is -13

so, for all values of x, option B is true

(all values of x are a solution; and "x" could be any value)

C. by distributing the 2 (6 - 4x = -5x + 7), we find an equation that is not true for all values of x [we don't even have to find the solution, we just know that there will only be a/a few solution ]

D) because the variable, x, is only on one side (and when distributed, is not cancelled by any other x), we know that it cannot be true for infinetly many solutions

(the only true solution will be when the equation is simplified to 4/18 = 4/18)

hope this helps!!

Answer:

the answer is b.40 that the kids that are working and have phone b

Answer:

Vertical is the answer

Step-by-step explanation:

the circumference of a whole circle is

2×pi×r

with r being the radius. which is in our case a.

so,

2×pi×a

the part arc of just a sector of the circle is just the angle/360 part (as the whole circle is 360°).

we therefore know

27×pi = 2×pi×a × 60/360 = 2×pi×a × 1/6 = pi×a × 1/3

3×27×pi = pi×a

81×pi = pi×a

a = 81

Answer:

54x + 36

Step-by-step explanation:

Simplify:

First open the brackets by multiplying  each term by 7.

 5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6

                              = 5x - 6 + 49x + 42

                              = 5x + 49x - 6 + 42

Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)

                              =  54x + 36

Answer:

54x +36

Step-by-step explanation:

5x - 6 + 7(7x+6)       multiply                

5x -6 +49x+42         add like terms

54x + 36                   that's the answer

Answer:

$17131.50

Step-by-step explanation:

23500 decrease 10% =

23500 × (1 - 10%) = 23500 × (1 - 0.1) = 21150

21150 decrease 10% =

21150 × (1 - 10%) = 21150 × (1 - 0.1) = 19035

19035 decrease 10% =

19035 × (1 - 10%) = 19035 × (1 - 0.1) = 17131.5

Answer:

f^-1(x)=8x/5

Step-by-step explanation:

The inverse of f(x)=5x/3+5 is 8x/5

The inverse function of f(x)=5x/3+5 is f-1(x) = 3x/5 - 15

We have:

f(x)=5x/3+5

Rewrite as:

y=5x/3+5

Swap x and y

x = 5y/3 + 5

Subtract 5 from both sides

5y/3 = x - 5

Multiply through by 3

5y = 3x - 15

Divide through by 5

y = 3x/5 - 15

Rewrite as:

f-1(x) = 3x/5 - 15

Hence, the inverse function of f(x)=5x/3+5 is f-1(x) = 3x/5 - 15

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Answer:

Step-by-step explanation:

how many triangles are in a 18 sided polygon

An 18 sided polygon, sometimes also called an octakaidecagon, it has 18 sides and therefore is made up of 18 triangles and has 18 vertices.

(look at the picture)

The mistake she had done is she should have reversed the inequality as per the division property of inequality.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The inequality is:

500 − 30x  ≥  200 −500 −500 −30x  ≥  −300 x  ≥  10

Given:

Jamie had $500 in her savings account.

She wants to have at least $200 left in the account at the end of the school year.

The inequality she had done is

500 − 30x  ≥  200 −500 −500 −30x  ≥  −300 x  ≥  10

But when she was dividing she should have reversed the inequality as per the division property of inequality.

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Answer:

You are right...........

The rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6).

When a line is translated, it means the line is moved from one position to another. The coordinate for triangle ABC are A(-3 ,4) , B(-4,1) and C(-2,1).

The coordinate of triangle A'B'C' is A'(4,-2), B'(3,-5), and C'(5,-5).

From above, it can be seen that the image A'B'C' is obtained from the pre-image ABC by translating the vertices of the image by 7 units to the right and 6 units down.

Therefore, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6)

Hence, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6).

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The profit from selling 30 designer cakes in a single month is; $2130.

It follows from the task content that the income function as given is; d(x) = 125 × a.

Hence, when 30 designer cakes are sold, thee income is; 125 × 30 = 3750$.

The profit which is a function of the income y is given as; p (y) = y - 1620.

On this note, if follows that the profit is; p (y) = 3750 - 1620 = $2130.

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Answer:

54 = 2 × 3 × 3 × 3 = 2 × 3³

[tex] f(x) = 7(\sqrt[3]{54})^x [/tex]

[tex] f(x) = 7(\sqrt[3]{3^3 \times 2})^x [/tex]

[tex] f(x) = 7(3\sqrt[3]{2})^x [/tex]

Initial value: x = 0

[tex] f(0) = 7(3\sqrt[3]{2})^0 [/tex]

[tex] f(0) = 7(1) [/tex]

[tex] f(0) = 7 [/tex]

The initial value is 7.

The domain is all real numbers.

The range is all real numbers greater than zero.

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Temp = 77° F[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: f = \bigg (c \sdot \cfrac{9}{5} \bigg) + 32[/tex]

[ convert 25° C to °F ]

[tex]\qquad \tt \rightarrow \: \bigg (25 \sdot \cfrac{9}{5} \bigg) + 32[/tex]

[tex]\qquad \tt \rightarrow \: (5 \sdot9) + 32[/tex]

[tex]\qquad \tt \rightarrow \: 45 + 32[/tex]

[tex]\qquad \tt \rightarrow \: 77 \degree \: \: f[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

77

Step-by-step explanation:

took the quiz

Answer:

0.346

Step-by-step explanation:

brainiest pls ty

Answer:

.,..

Step-by-step explanation:

0.346 ............ I'm..............

P(B|A) expressed in simplest form is 4/15. Option C is correct answer.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, probability of event A = 4/15

         probability of event B = 4/15

P(B|A) = P(A ∩ B)/P(B)

P(A ∩ B) = P(A) X P(B)

              = (4/15)(4/15)

              = 16/225

Now, conditional probability;

P(B|A) = (16/225) / (4/15)

          = (16/225)(15/4)

          = (16 X 15) / (225 X 4)

          = 4/15

Thus, P(B|A) expressed in simplest form is 4/15. Option C is correct answer.

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Answer:

C) 15.5 units

Step-by-step explanation: