Which of the following is equivalent to...

Answer:

x = 56

MKL = 56

KML=  63

MLK = 61

Step-by-step explanation:

We know that the sum of the interior angles of a triangle = 180 degrees.

So, x+ (x+7)+ ( x+5) = 180

3x+ 12= 180

3x= 180-12 = 168

168/3 = x

therefore, x= 56 degrees.

So MKL = 56

KML= 56+ 7 = 63

MLK = 56+5 = 61

Answer:

The Answer is provided in the explanation!

Step-by-step explanation:

The lines are perpendicular because in both of the equations, the x variables are inverses. Meaning, that y=x+7, the x is positive, and y=-x+11, the x is negative. This shows that the slopes of both equations are 1, meaning the graph will have an X shape, provide that lines are perpendicular because they have an inverse of the same slope!

Answer:

i tis b my dudes

say the the line above with an accent it was not a typo

Step-by-step explanation:

jesus loves you!!!!!

Answer:

5

Step-by-step explanation:

Pick two points, so for example (1,2) and (3,12)

the formula for slope is (y2-y1)/(x2-x1)

plug in your coordinates

(12-2)/(3-1)

10/2

5

Answer:

slope (m) = 5

Step-by-step explanation:

(slope)

m = y2-y1 / x2 -x1

Take any of the arbitrary points and plug them into your slope formula.

Let's use (-1,-8) and (1,2) since they are not large numbers (it's easier this way).

-1 (x2) , -8 (y2)

1 (x1) , 2 (y1)

m = -8 - (2) / -1- (1)

= -10/-2

m =5

Answer:

11 bars

Step-by-step explanation:

Clara bought 11 chocolate bars. Let x be the number of chocolate bars Clara buys.

The cost of each chocolate bar is 63p, so the total cost of x chocolate bars is 63x pence.

After buying the chocolate bars, Clara has 7p left over.

Now we can write the equation:

Total money spent on chocolate bars + Money left over = Total money Clara has initially

63x + 7 = 700 (Since £7 is equivalent to 700p)

Now, let's solve for x:

63x = 700 - 7

63x = 693

x = 693 / 63

x = 11

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Answer:

(-2,9/2)

Step-by-step explanation:

x=(-5+1)/2

-4/2

-2

y=(3+6)/2

9/2

Midpoint=(x,y)

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m

Answer:

[tex]-\frac{433}{2}[/tex]

Step-by-step explanation:

Change: 2[-3(2*-1 + 3-8 + 42) - ½(20-10 - (-3))

To: 2[-3(2*-1 + 3-8 + 42) - ½(20-10+3)

Multiplication calculation: 2 * (-3 x 35) [tex]-\frac{1}{2}[/tex] * 13

Multiply again: 2 * (-105) [tex]-\frac{13}{2}[/tex]

Calculate: -210 [tex]-\frac{13}{2}[/tex]

Answer: [tex]-\frac{433}{2}[/tex]

I hope this help you! :D

Answer:

-238

Step-by-step explanation:

2(-3(2^-1+3-8+42)-1/2(20-10-(-3))=

2(-3(1/2+37)-1/2(10+3)=

2(-3(1/2+37)-1/2(13)=2(-3(75/2)-13/2)

=2(-225/2-13/2)

2(-238/2)= -238

Answer:18

Step-by-step explanation:

a straight line is equal to 180

you already have part of the angle (162)

so then you subtract the two angles

180-162=18

The correct answer is option C) $12,000.

The equity of a company, or shareholders' equity, is the net difference between a company's total assets and its total liabilities. A company's equity is used in fundamental analysis to determine its net worth.

Given:

Total equity = 5000 + 7000 + 4000 - 3000

= $12000

Equity is the ownership of any asset after any liabilities associated with the asset are cleared. For example, if you own a car worth $25,000, but you owe $10,000 on that vehicle, the car represents $15,000 equity. It is the value or interest of the most junior class of investors in assets.

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Answer:

Is this a graph problem?

Step-by-step explanation:

Among us

Lollllllllllllllllll

Answer:

[tex]7 \frac{2}{7} [/tex]

Step-by-step explanation:

multiply 17 by

[tex] \frac{3}{7} [/tex]

it amounts to

[tex] \frac{51}{7} [/tex]

convert it to a mixed fraction

[tex]7 \frac{2}{7} [/tex]

Answer:

answer is (-4, 4)

Step-by-step explanation:

-1 + 5 = 4

Answer:

x^3 - 3x^2 - 4x + 12

Step-by-step explanation:

Okay, so let's work backwards.

3, -2, 2 are the zeros, so we can use these numbers write the equation in factored form. (For right now, as a placeholder, I'll let y = 0)

(x - 3)(x + 2)(x - 2) = 0

If you want to check this, you can insert each of the zeros into the expression with a constant of the opposite sign.

So now, we can just expand the factored form. (I'll be doing this one equation at a time)

(x - 3)(x + 2) = x^2 + 2x - 3x - 6 = x^2 - x - 6

(x^2 - x - 6)(x - 2) = x^3 - 2x^2 - x^2 + 2x - 6x + 12 = x^3 - 3x^2 - 4x + 12

So,

The equation in standard form is x^3 - 3x^2 - 4x + 12

(Don't take my word for it though, now that I've told you how, feel free to do it on your own)

Answer:

They are relatively prime.

Step-by-step explanation:

The prime factorization of 46 is 23 * 2, and the prime factorization of 105 is

3 * 7 * 5. Since there are no common factors, they are relatively prime.

There is no common prime number. Then the numbers 46 and 105 will be relatively prime.

When two quantities have just one similar, or if there is no additional value with the same quantity as one, you cannot divide them both and obtain zero as the remainder, two numbers are considered to be relatively prime.

The numbers are 46 and 105.

Then the factor of the number 46 will be

46 = 2 × 23

Then the factor of the number 105 will be

105 = 3 × 5 × 7

There is no common prime number. Then the numbers 46 and 105 will be relatively prime.

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Answer:C

Step-by-step explanation: option C, The number of votes received by each of four candidate can be best displayed in a box plot.

Explanation:

We need to find which type of data can be displayed in a box plot from the given options.

The box plot can used to show the shape of a distribution, the lower value , higher value , the central value, and its variability.

The graph shows how the values of the data are spread out .It is the distribution of numerical data. Box plot can be used to compare multiple groups .

So, the answer can be option C

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Question 9. The Angles (3 + 5x) and (x + 15) are forming linear pair, so

Question 10. Angle 58° + Angle (2x + 4) = 90, so

Question 11. 5x = 70°

Question 12. Angle 106° and Angle (2x +4) forms linear pair, so

Answer:

9. [tex]x=27[/tex]

10. [tex]x=14[/tex]

11. [tex]x=14[/tex]

12. [tex]x=35[/tex]

Step-by-step explanation:

9. [tex]3+5x+x+15=6x+18[/tex]

==>> [tex]6x+18=180[/tex]; subtract 18 from 180 giving you 162, and finally 162 divided by 6 equals 27.

10.  [tex]90+58 = 148\\180 - 148 = 32\\2(14)+4=32[/tex]

11. 70 and 5x are congruent so, [tex]180-70=110; 110/5 = 35[/tex]

12. [tex]180-106=74; 74-4 = 70; 70/2 = 35[/tex]

Answer:

x-4y=-13

Step-by-step explanation:

what grade? and just ask your teacher or look it up

Answer:

a) 48

b) 37

Step-by-step explanation:

a) 16 and 64 is [tex]4^{2}[/tex] and [tex]8^{2}[/tex]

64-16=48

b) 27 and 64 is [tex]3^{3}[/tex] and [tex]4^{3}[/tex]

64-27=37

Answer:

Table 4

Step-by-step explanation:

It adds -2 everytime

Answer:

-5 < x < -2

Step-by-step explanation:

domain is all the x values

interval notation can look something like this ? < x < ?

for this case -5 is the far edge of the domain and -2 is on the other side

so it would be -5 < x < -2

Jerry's withdrawal involves more money because |-20| is greater than |5|

The vertical bars represent absolute value.

======================================================

Explanation:

Absolute value is the distance a number is from 0. I recommend drawing out a number line. You should see that -20 is further from zero compared to 5.

So this is a visual representation of why Jerry is dealing with more money. You can think of the positive version of each value, which is effectively what absolute value is doing, when comparing the values.

We see that 20 > 5, so Jerry is dealing with more money even though he's losing it rather than gaining it.

Answer:

(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208    R 832   (or  + 832/(x-4))

Step-by-step explanation:

x-4=0 x=4  

    x⁴   x³     x²    x¹       x⁰

4  | 1     0    -4     4         0         0

   |        4    16   48    208    832                      

   _______________________

     1      4    12   52    208    832

(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208    R 832

Answer:

Solve for x by cross multiplying.

x=169

Step-by-step explanation:

Answer:

The second and last statement are true.

Step-by-step explanation:

f(0)=1/2(0)+3/2 = 3/2

f(4) =1/2(4)+3/2 = 7/2

Step-by-step explanation:

7p – 3q

if p= 8 and q = -5

7(8)-3(-5)

56+15

=71

Answer:

71

Step-by-step explanation:

7(8)-3(-5)

56-(-15)

71

Answer:

-10.02

Step-by-step explanation: