Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees

Answer:

The mean absolute deviation of the following set of data is 4.5

Step-by-step explanation:

We need to find the mean absolute deviation of the following set of data.

10,20,12,4,18,8,14,18

For finding mean absolute deviation, first we need to find the mean of the given data set.

The formula used to calculate mean is: [tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}[/tex]

Sum of all data points: 10+20+12+4+18+8+14+18 = 104

Number of data points = 8

So, mean is:

[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{104}{8}\\Mean=13[/tex]

Now, we will subtract 13 from the given data points:

10  - 13 = -3

20  - 13 = 7

12  - 13 = -1

4  - 13 = -9

18  -13 = 5

8  - 13 = -5

14  - 13 = 1

18 - 13 = 5

We will take absolute values i.e |-a|=a

So, now the numbers will be:

3,7,1,9,5,5,1,5

We will now find absolute mean deviation by finding mean of newly calculate values

Sum of all data points = 3+7+1+9+5+5+1+5

Number of data points = 8

[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{36}{8}\\Mean=4.5[/tex]

So, the mean absolute deviation of the following set of data is 4.5

Answer:

9

Step-by-step explanation:

60*0.15 is 9

Hope this helps plz hit the crown :D

Good Morning :^)

Question:

Yesterday, Bethany sent 60 text messages. She said that 15% of those

messages were to her best friend. How many text messages did Bethany

send to her best friend yesterday?

Well, let's figure this out!

Y is 15% of 60

Equation: Y = P% × X

First Step: Solve our equation for Y

Y = P% × X

Y = 15% × 60

Second Step: Convert percent to decimal:

p = 15%/100 = 0.15

Y = 0.15 * 60

Y = 9

Answer: Yesterday, Bethany sent 9 text messages to her best friend.

Answer:

A)200%

B)I dont know sorry

C) 57.14. Not sure tho

Hope they are correct

Answer:

708 books on each shelf!!?!!

Step-by-step explanation:

1,845 + 4,527 = 6372

6,372 ÷ 9 = 708

If I am right, please give me brainliest!!!!

- Hermionia

Answer and Step-by-step explanation:

[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]

This is the answer.

In case your expression is:

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]

Add similar elements: x²+x² = 2x²

                                  [tex]=2x^2-xy-xy[/tex]

Add similar elements: -xy-xy = -2xy

                                    [tex]=2x^2-2xy[/tex]

Thus,

[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]

In case your expression is:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]

Add similar elements: -xy-xy = -2xy

                                       [tex]=x^2-2xy+\left(xx\right)^2[/tex]

as (xx)² = x⁴

so                                      [tex]=x^2-2xy+x^4[/tex]

Therefore, we conclude that:

Answer:

a.

Step-by-step explanation:

its 8 hope this helps!

Answer:

B (x=10)

Step-by-step explanation:

A) Distribute 4 to x and -6 (basically multiply 4 to x, then 4 to -6)

B) (Resulting equation): 4x-24=16

C) Add +24 to each side of the equation

D) (Resulting equation): 4x=40

E) Divide each side by 4 in order to isolate the x variable

F) (Resulting equation): x=10

Answer:

a  ≤  b  +  5

a  +  b  ≥  40  

2.5 a  +  1.5 b  ≤  105

Step-by-step explanation:

Answer:

$12500

Step-by-step explanation:

Given that:

Salary plan 1:

Weekly salary of $500.

And a commission of 4%.

Salary plan 2:

Straight commission of 8%.

To find:

Weekly sales for which both the plans will make the same sales?

Solution:

Let the weekly sales = $[tex]x[/tex]

As per question statement:

Salary as per Plan 1 = $500 + 4% of [tex]x[/tex]

Salary as per Plan 2 = 8% of [tex]x[/tex]

Putting both the salaries to equal to find the total weekly sales.

$500 + 4% of [tex]x[/tex] = 8% of [tex]x[/tex]

[tex]\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500[/tex]

Therefore, the answer is:

For the sales of $12500, the salary will be same from both the plans.

Answer:

B. 11

Step-by-step explanation:

We can try it for each

10*2+5=25

25-10=15❌

11*2+5=27

27-11=16 ✔

12*2+5=29

29-12=17❌

6*2+5=17

16-6=11❌

So it's B

Answer:

Step-by-step explanation:

Given that:

Price of car = $18,936

Upfront paid = $3000

Time taken to pay remaining balance = 4 years

Amount paid per month if the same amount is paid per month

Remaining balance :

($18,936 - $3000) = $15,936

Number of months in 4 years = (12 * 4). = 48 months

Amount paid per month :

$15,936 / 48

= $332

Answer:

The answer is "The first choice"

Step-by-step explanation:

In the given question the first choice is correct because When the zero assumption was valid, it would have been at least as bad to also be 2% to demonstrate a discrepancy as observed difference.

Answer:

Solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]15 = 3n + 6p[/tex] for variable n

Solving:

[tex]15 = 3n + 6p[/tex]

Subtract both sides by 6p

[tex]15-6p = 3n +6p -6p\\15-6p=3n[/tex]

Switch sides of equality

[tex]3n=15-6p[/tex]

Divide both sides by 3

[tex]\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p[/tex]

So, solving the equation [tex]15 = 3n + 6p[/tex] for variable n we get [tex]\mathbf{n=5-2p}[/tex]

Answer:

hi

Step-by-step explanation:

Answer:

[tex]-6 <f (x)\legslant 3[/tex]

Step-by-step explanation:

If you examine the diagram you can know

[tex]y=\dfrac {1}{x}[/tex]

[tex]\setlength{\unitlength}{2.5mm}\begin{picture}(10,10)\linethickness{0.45mm}\put(20,20){\vector(2,0){18}}\put(20,20){\vector(-2,0){18}}\put(20,20){\vector(0,2){18}}\put(20,20){\vector(0,-2){18}}\multiput(19.35,6)(0,2){15}{\line(1,0){1.3}}\multiput(6,19.35)(2,0){15}{\line(0,1){1.3}}\put(20,20){\circle*{1}}\qbezier(20.5,35)(20,20)(35,20.5)\qbezier(19.5,5)(20,20)(5,19.5)\end{picture}[/tex]

Answer:

up me is right :) so get his answer :)

Answer:

X= 12

Step-by-step explanation:

3:9 is the ratio

1:3 is equal therefore the multiplicative factor is 3

lastly you do 4 times 3 to get 12 as the value for x

PS fac k you moderators I got my answer correct and u delete them fac k you

Answer:

1. 18(2+3)

2. Dylan needs 1.375 more liters

Step-by-step explanation:

1. 36 and 54

2x3x3x2 =36

54 = 2x3x3x3

common factor = 3x3x2 or 18.

1. 18(2+3)

2.5-1.125

2.5000

- 1.125

1.375

Hope this helps!

Btw, i answered your question before!

Answer:

It will be B. You’ll have an open circle on 4 with the arrow pointing left.

Step-by-step explanation:

Answer:

sorrie

Step-by-step explanation:

nothing here ;)

Answer:

with what I'm here to awnser

Answer:

(c) is correct.

Step-by-step explanation:

When two lines cross each other, the angles opposite to each other are called vertically opposite angles. They are always equal.

In this given figure,

Line TW and RU cross each other at Q, it means

[tex]\angle RQW=\angle TQU[/tex] (vertically opposite angles)

Hence, the correct option is (c).

Step-by-step explanation:

3x-5y =13......eq(1)

x+4y=10....eq (2)

multiply the eq 2 with 3

then it becomes,

3x+12y=30

Subtracting eq2 from eq 1

3x-3x-5y-12y=13-30

-17y=-27

y=1.588

x+6.352=10

x=3.648

Answer:

i am very positive that the answer is 6'1

Answer:

Step-by-step explanation:

5)

21x + 4 = 22x - 2

6 = x

6)

x + 72 + x + 132 = 180

2x + 204 = 180

2x = -24

x = -12

7)

22x + 2 = 90

22x = 88

x = 4

8)

12x + 10 = 13x + 3

7 = x

9)

17x = 16x + 5

x = 5

17(5) = 85°

10)

20x = 21x - 6

-x = -6

x = 6

20(6) = 120º

hope this helps <3

Answer:

660

Step-by-step explanation:

Step-by-step explanation:

A. Absolute value is the sign of the number.

The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

Given the preimage of a parallelogram with vertices (1,5), (3,3), (3,7), and (5,5).

If we plot in the coordinate plane as shown below.

Now plot the image of a parallelogram with vertices (−5,3), (−3,1), (−3,5), and (−1,3).

If we take only one vertex of the preimage to let's say (1,5) now if we look at the corresponding vertex in the image then it is (-5,3).

1 + x = -5 ⇒ x = -6 (6 units left)

5 + y = 3 ⇒ y = -2 (2 units down)

Hence "The actual image of the parallelogram has been translated by 6 units left and 2 units down of the preimage parallelogram".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ2

Answer:

$150

Step-by-step explanation:

Given

Delivery amount = $120

Percent tip on the delivery amount = 15%

Tip amount = 15% * 120

Tip amount = 0.15 * 120 = $30

Total money paid = Delivery amount + Tip

Total money paid  = $120 + $30

Total money paid = $150

hence the total money you will give the delivery boy is $150

Answer:

thats a lot hold up

Step-by-step explanation: