There are 6 people at a party. if each person must shake hands with other every other person at the party exactly once how many handshakes will there be

Answer:

A. m∠ 2= 41°

B. m∠4 =61°

Step-by-step explanation:

Compliment means that the two angles will add up to 90°, and Supplement means to add up to 180°.

A. m∠1 + m∠2 = 90°

49°+ m∠2 = 90°

m∠2 = 90° - 49°

m∠2 = 41°

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B. m∠3 + m∠4 = 180°

119 + m∠4 = 180°

m∠4 = 180° - 119°

m∠4 = 61°

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I hope you understand the topic now.

Answer: +7

Step-by-step explanation: Since a negative divided

by a negative always equals a positive, (-28) ÷ (-4) = +7

7

when a negative number is divided by another negative, they give a positive number

Answer:

8p+16q

hope this helps

4x2p=8p

4x4q=16q

Answer:

932.58 in^3

Step-by-step explanation:

radius = 9 inches

height = 11 inches

Volume = ?

[tex]V= \frac{1}{3} \pi r^2 h\\\\V= \frac{1}{3} \times 3.14\times 9^2\times 11\\\\V = \frac{1}{3} \times 3.14\times 81\times 11\\\\V= \frac{2797.74}{3} \\\\V = 932.58\:in^3[/tex]

Answer:

Step-by-step explanation:

Opposite angles equal each other, so angle B and angle D are equal.

2x = 74

x = 37

Answer:

1. r is point

2.PQ is ray

3. pr is line

4. p.q,r is collnear points

5. QR is segment

Answer:

x=1

Step-by-step explanation:

Subtract** the 8 to both sides and subtracting 5x from both sides. And then dividing by 15 from both sides.

Answer:

a simplified fraction would be 4/10 but not simplified would be 40/100

Step-by-step explanation:

Answer:

623

Step-by-step explanation:

odd means the last digit must be odd, so 3

hundreds digit must be greater than 2, so 6.

Answer:

28 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 8 , thus

A = [tex]\frac{1}{2}[/tex] × 7 × 8 = [tex]\frac{1}{2}[/tex] × 56 = 28 cm²

The monthly inflow of Tamara will be $624 after deducting taxes.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given,

Earning of Tamara per hour=$8/hour

1 week = 25 hours of working

Earning of Tamara per week = 8(25) = $200/week

1 Month = 4 pays

Earning of Tamara per month = 200(4) = $800/month

Now,

22% of 800 is

22(800)/100 = $176

Remaining salary(cash inflow)

800 - 176 = $624

Hence, The monthly inflow of Tamara will be $624 after deducting taxes.

For more about the percentage,

brainly.com/question/13450942

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Tamara's monthly cash inflow is $624.

We have Tamara who earns $8 an hour at her job working 25 hours per week and 22% of her paycheck goes to taxes.

We have to Tamara’s monthly cash inflow.

Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

According to the question -

Tamara's pay per hour = $8

Tamara's working hours per week = 25

% cut in taxes = 22%

Assuming 4 pays per month -

Cash inflow = $8 x 25 x 4 = $8 x 100 = $800

Cash deducted in taxes = 22% 0f 800 = [tex]\frac{22}{100} \times 800[/tex] = 22 x 8 = $176

Therefore, her monthly cash inflow = $800 - $176 = $624

Hence, Tamara's monthly cash inflow is $624.

To solve more questions on net cash inflows , visit the link below -

https://brainly.com/question/14299092

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Answer: Together the pool can be drained in 2 hours and 18 minutes.

Answer:

Minimum Values:

x = 0, y = 1, z = 3

Maximum Values:

x = 7 , y = 11 , z = 47

Step-by-step explanation:

FOR MINIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the minimum value of x must be 0.

y>= 1

This inequality shows that the minimum value of y must be 1. Using these minimum values of x and y to get the minimum value of z:

z = 2x + 3y

z = (2)(0) + (3)(1)

z = 3 (Minimum)

FOR MAXIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the maximum value of x must be 7.

x + y <= 11

To calculate maximum value of y we can use the minimum value of x in this inequality:

0 + y <= 11

y <= 11

Hence, the maximum value of y is 11.

Using these maximum values of x and y to get the maximum value of z:

z = 2x + 3y

z = (2)(7) + (3)(11)

z = 47 (Maximum)

Answer:

A(2)

Step-by-step explanation:

Answer:

7x+9

Step-by-step explanation:

f(x)=7x-5

g(x)=x+2

f[g(x)]=  Substitute g(x) in for x in the function f(x)

           =7(g(x))-5

          = 7( x+2) - 5

Distribute

           = 7x+14 - 5

Combine like terms

           =7x +9

answer to problem:

n = 3

Answer:

answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

All you need to do is divide 3 by 3/4 to get 4. Hope this helps!

Answer:

slope is 1

Step-by-step explanation:

when the x-axis is zero the y-axis is the slope

Answer:

y = 2x + 1

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept. When we look at the graph we see that at x = 0 our y-value is 1. This is our y-intercept meaning that b = 1. To find the slope of the line, you divide the difference in the y-values between 2 points on the line by the difference in the x-values between 2 points on the line. Let's choose 2 points! Our 1st point is going to be (0,1) and our second point is (1,3).

[tex]m=\frac{3-1}{1-0}=\frac{2}{1}=2[/tex]

After we have found both our m and b value, we simply plug in these numbers into the slope intercept form.

m = 2

b = 1

y = 2x + 1

Answer:

  length, width, perimeter

Step-by-step explanation:

First of all, you should notice that no problem is posed. A description is given, but no question is asked about it.

_____

If we assume that the length and width of the patio are desired, then those are the selections for the first two boxes.

The only other characteristic of the situation that is provided is the perimeter. So the formula for perimeter is the only one that can be usefully used.

Answer:

10-1/3x=4

Step-by-step explanation:

10 minus is 10-

1/3 of a number is 1/3x

is 4 means =4

10-1/3x=4

Answer:

The inequality is true for all x.

[tex](-\infty, \infty) = \mathbb{R}[/tex]

Step-by-step explanation:

[tex]31(2x + 1) - 12x > 50x[/tex]

[tex]62x + 31 - 12x > 50x[/tex]

[tex]50x + 31 > 50x[/tex]

[tex]y+31>y[/tex]

LHS > RHS

Once the LHS will always be greater than RHS for any value of y in the Real Set, the inequality is true for all values of x.

Point B because it increases before and decreases after so its turning.

Answer: point b

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

- x - = +

=> - 5 x -9

=> 45

Answer:

Positive 45

(-5) . (-9) = positive 45

Answer:

67

Step-by-step explanation:

UV+VW=UW

19+4x-20

X=17

Plug it it:

6(17)-35

102-35

UW=67

Answer: -12x4y4 (option 3)

Step-by-step explanation:

Answer:

2500

Step-by-step explanation: