10) Find x ifm/LMP = x+73, m/LMN = 152°, and m/PMN = 81 + x. L P M N​

Considering that XZ is the perpendicular bisector of segment WY, we have that the value of k is of k = 6.

It means that XZ divides the segment into two segments of equal length, given by:

WX = XY.

From the lengths given, we can solve for k as follows:

3k + 17 = 7k - 7

4k = 24.

k = 24/4

k = 6.

The value of k is of k = 6.

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Given:

[tex](3x-2)^9[/tex]

To find:

The coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex].

Solution:

We know that, in the expansion of [tex](x+y)^n[/tex],

[tex]T_{r+1}=^nC_rx^{n-r}y^r[/tex]       ...(i)

[tex](3x-2)^9[/tex] has only one x and in [tex]x^6[/tex], the power of x is 6. It is possible if

[tex]n-r=6[/tex]

[tex]9-r=6[/tex]

[tex]9-6=r[/tex]

[tex]3=r[/tex]

Putting n=9, r=3, x=3x and y=-2 in (i), we get

[tex]T_{3+1}=^9C_3(3x)^{9-3}(-2)^3[/tex]

[tex]T_{4}=\dfrac{9!}{3!(9-3)!}\times (3x)^{6}(-8)[/tex]

[tex]T_{4}=\dfrac{9\times 8\times 7\times 6!}{3\times 2\times 1\times (9-3)!}\times (729x^{6})(-8)[/tex]

[tex]T_{4}=84\times (729)\times (-8)\times x^{6}[/tex]

[tex]T_{4}=-489888x^6[/tex]

Therefore, the coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex] is -489888.

Answer:

j

Step-by-step explanation:

Answer:

i think the first on is A.

Step-by-step explanation:

If the markup is 5% of the dealer's cost then the dealer's cost of the refrigerator is $690.

Markup can be calculated using the formula.

Markup= (Selling price - Cost )/Cost

In the given question

The selling Price = $724.50

markup = 5% = 0.05

let the dealer's cost be "x".

Substituting the values in the dealer's formula we get

Markup= (Selling price - Cost )/Cost

0.05=(724.50-x)/x

0.05x=724.50-x

x+0.05x=724.50

Solving further we get

1.05x=724.50

x=724.50/1.05

x=690

Therefore , the dealer's cost of the refrigerator is $690.

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Answer:

hello my fellow brainlier

Step-by-step explanation:

According to my calculations answer will be 56 .TY!

Answer:

Answer is "B"

Step-by-step explanation:

Rearrange terms:  7-2x=9x+19

-2x+7=9x+19

 Subtract 7 from both sides of the equation: -2x+7=9x+19

-2x+7-7=9x+19-7

Simplify: -2x=9x+12

Subtract 9x from both sides: -2x=9x+12

-2x-9x=9x+12-9x

simplifiy: -11x=12

solution: x=-12/11

Answer:

[tex]\textsf {Domain} : -\infty \: < x < \infty \\\textsf {In interval notation: } (-\infty, \infty)}[/tex]

[tex]\textsf {Range: } f\left(x\right)\le \:2 \\\textsf {In interval notation:} \:(-\infty \:,\:2][/tex]

Step-by-step explanation:

There are no undefined points for the function. So the domain is the set of all x values

The domain of x is (-∞, ∞) so x can be negative or positive. However, |x| is always positive

So if the inequality |x| + y ≥ 2 is to hold good then y has to be less than equal to 2, otherwise the left side drops below 2 and the inequality is not satisfied.

So the range is the set of all values in the interval (-∞, 2)

Check out the graph for a visual interpretation

Answer: 20, and 52

Step-by-step explanation: lets "translate" the sentence

one number=a

the other numebr b=2a+12

a+b=72

a+2a+12=72

3a=72-12

3a=60

a=60/3=20

a=20

b=52

a=b=72

Answer:

well the answer will come out to 9272

Step-by-step explanation:

Answer:

Negative numbers: Loss, below, taken away

Positive numbers: Gain, Adding, Above

The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.

It is given that two triangles that are JKL and MNP are considered in which:

∠K = ∠N

∠L = ∠P

JK = 6

MN = 18.

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.

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Your question was incomplete. Please refer the content below:

Jerry drew JKL and MNP so that K= N,L= P, JK=6, and MN=18. Are JKL and MNP similar? IF so, identify the similarity postulate or theorem that applies.

A. Similar - AA

B. Cannot be determined

C. Similar - SSS

D. Similar - SAS

Answer:

es verdadero

Step-by-step explanation:

Lets see

For side=6

Now midpoints are the connections so diagonal of half side are the sides of new one

New side

New area

Again new area will be half of old area

Again

This forms a geometric sequence

Now

sum for infinite series:-

[tex]\\ \rm\Rrightarrow \dfrac{a}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{36}{1-0.5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{36}{0.5}[/tex]

[tex]\\ \rm\Rrightarrow 72units^2[/tex]

Answer: -3

Step-by-step explanation:

Answer:

the constant in this expression is 3

Step-by-step explanation:

the constant is a single number

Answer:

The answer is 82 degrees.

Answer:

16....................

Answer:

2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)

Step-by-step explanation:

Given the expression 6 + 12x.

The following functions are equivalent;

Factoring out common number;

For 2;

2(3) + 2(6x)

2 (3 + 6x)

Factoring out 3;

3(2) + 3(4x)

3 (2 + 4x)

Factoring out 6;

6(1) + 6(2x)

6 (1 + 2x)

Hence the possible equivalent expressions are 2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)

Answer:

Yeah

Step-by-step explanation:

Answer:120 times

Step-by-step explanation:4/8 = x/240. 4/8 x 240/1 4/1 x 30/1 = 120/1 = 120.

Reduce 8 to 1 and 240 to 30.

Answer:

120

Step-by-step explanation:

Answer:

Monthly charges = $70

Intuition charges = $2710

Step-by-step explanation:

There is intuition fee and per month fee for joining the Pine River country club.

Total cost for 7 months is $3200

Total cost for one and a half years is $3970

one and a half years means 18 months.

To find:

Intuition fee and monthly dues?

Solution:

Let the intuition fee = [tex]i[/tex]

Let the monthly dues = [tex]m[/tex]

Total cost for 7 months can be represented as

[tex]i+7m = 3200[/tex] ..... (1)

Total cost for 18 months can be represented as

[tex]i+18m = 3970 .... (2)[/tex]

Here, we have 2 equations and 2 variables whose values are to be found.

Let us use elimination method to solve the equations.

Subtracting equation (1) from (2):

[tex]11m = 770\\\Rightarrow m = 70[/tex]

Therefore, the monthly dues are $70.

Using equation (1), we can find the value of [tex]i[/tex].

[tex]i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710[/tex]

Therefore, intuition charges are $2710.

Answer:

24 units

Just add the distance that each is from the origin.

(-16, -16) is 16 away from 0, 0

(8, -16) is 8 away from origin

16 + 8 = 24

This only works because these two points` x-axis coordinates match. It doesn`t work with everything.

Answer:

63x + 42y

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

Probably so she knows you are not playing video games and you are paying attention to what she is saying.

Step-by-step explanation:

Brainliest Please!!

- Hermionia

Answer:

because she's lonely and she misses seeing you guys I guess. My teachers ~itch abt it but they dont make us.

Step-by-step explanation:

the missing functions in the piecewise function are f(x) = - x - 4 for - 6 ≤ x ≤ - 1, f(x) = 4 for 1 < x ≤ 2 and f(x) = - 1 / 2 x - 6 for 2 < x ≤6.

We are given the graph of a piecewise function.

We need to complete the function to represent the graph completely.

We know that, a piecewise function is a function that has different functions for a particular set of values for x.

Here, we can see that:

For the values of x in between - 6 and - 1 that is - 6 ≤ x ≤ - 1, we get the function as:

f(x) = - x - 4

For the values of x in between - 1 and 2 that is - 1 < x ≤ 2, we get the function as:

f(x) = 4

For the values of x in between 2 and 6 that is 2 < x ≤6, we get the function as:

f(x) = - 1 / 2 x - 6

Therefore, we get that, the missing functions in the piecewise function are f(x) = - x - 4 for - 6 ≤ x ≤ - 1, f(x) = 4 for 1 < x ≤ 2 and f(x) = - 1 / 2 x - 6 for 2 < x ≤6.

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the input value is x because when you use the equation you need x to get y.

Answer:

D

Add all of the sides together. 2x+1 plus 2x+1 equalls 4x +2

Then add that to (xsquared+3x-2 + xsquared+3x-2) which is 2xsquared +6x-4+4x+2 which equalls D

Its D

------------------

Answer:

D.

Step-by-step explanation:

the difference between 85 and 72 is 13. 13 is 18% of 72.

Answer:

x = 25

Step-by-step explanation:

Let's start with the sentence

Seven less than twice a number is 43.

Let's rearrange it to make it easier to convert to an equation

Twice a number subtracted by seven is 43

Now let's convert to an equation

Twice a number: 2x

Subtracted: -

Seven: 7

is: =

43

2x - 7 = 43

Now we can simplify by adding 7 to both sides.

2x = 50

Lastly, let's divide by 2 to isolate the x variable.

x = 25