A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the number of handshakes that will occur if you know the number of people. If we are in a room of 5 people, we can determine the number of handshakes by this line of reasoning: The first person will shake 4 hands (she won’t shake her own). The second person will shake 3 hands (he won’t shake his own of the hand of the first person, they already shook). The third person will shake 2 hands (same reasoning). The fourth person will shake 1 hand (that of the fifth person). The fifth person will shake 0 hands. So there will be a total of 1+2+3+4=10 handshakes

Answer:

both are true

Step-by-step explanation:

have a great day

Answer:

Multiplication property of equality

Step-by-step explanation:

I'm sorry if its wrong

could you mark me brainliest pls

Have a good one

Answer:

it's still 50%

each flip is an independent probability. what happened the first 19 times is irrelevant, because it's still a 50-50 chance on any independent flip.

Answer:9 ounces of flours

Step-by-step explanation:90:9 ratio or sugar to flour

Answer:

Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

Answer:

1219 square feet

Step-by-step explanation:

cause

if you solve using subsitution, the point form would be (2,1) and the equation form = 2, y=1

Answer:

x = -2

y = -23

(x, y) --> ( -2, -23)

Step-by-step explanation:

y = 6x - 11

-2x - 3y = -7

***What you need to do is substitute the "y" with what has been given to us which is "6x - 11"***

-2x - 3(6x - 11) = -7

Now what you need to do, is use the distributive property (multiply what is in the parenthesis "6x - 11" by what is outside of it "3").

-3 × 6x and -3 × -11

-18x and 33

Now we have......

-2x - 18x + 33 = -7

Now we can combine like terms (put the numbers that are the same together - variables with variables, and whole numbers with whole numbers)

-2x - 18x = -20x (2 negatives added together gives u a result of a bigger negative number)

-20x + 33 = -7

Now we need to subtract 33 on both sides

-20x + 33 - 33 = -7 - 33

-20x = -40

Now we need to divide by -20 on both sides to isolate the variable

-20x ÷ -20 = -40 ÷ 20

x = -2

Now that we have what "x" is, we can use that to find what "y" is....

y = 6x - 11

Substitute the "x" with the answer we got "-2".

y = 6(-2) - 11

y = -12 - 11

y = -23

x = -2

y = -23

Now we can check our work

y = 6x - 11

All we need to do is substitute the "x" and "y" with the answer we got above.

y = 6x - 11

-23 = 6(-2) - 11

-23 = -12 - 11

-23 = -23

CORRECT

So now that we checked our work, and saw that it was correct, I can hereby say that x is -2 and y is -23

x = -2

y = -23

(x, y) --> ( -2, -23)

Hope this helped!!!

Answer:

the missing side T-F is 8. the missing side F-K is 3.

Step-by-step explanation:

hope I helped

Answer:

(SR*ST)+(FK*KL)=66cm²

Step-by-step explanation:

RL=ST+F K

9= 6+x

F K=3

T F=8

Area of this figure= (3*2)+(6*10)

=6+60=66 cm²

Answer:

Step-by-step explanation:

Let us represent

Boxed candles = x

Bag of chips = y

Rafael got 3 boxed candies and 1 bag of chips for $6.99.

3x + y = 6.99....Equation1

His sister got 2 bags of chips and 1 boxed candy for $5.98.

x + 2y = 5.98......Equation 2

Find the cost for 1 of each of these items in dollars.

Answer:

It may be C or D

I think its C.

Sorry if I'm wrong.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

let the number be n then increasing - 7 by n is - 7 + n and

- 7 + n = 12 ( add 7 to both sides )

n = 19

Answer:

1 : 4

Step-by-step explanation:

half litre = 500 ml

Milk : water = 125 : 500

                   = 125 ÷ 25  : 500÷25

                   = 5 : 20

                    = 1 : 4

Answer:

x=4

y=2

Step-by-step explanation:

2x+2y=12

x−y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

2x+2y=12,x−y=2

To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.

2x+2y=12,2x+2(−1)y=2×2

Simplify.

2x+2y=12,2x−2y=4

Subtract 2x−2y=4 from 2x+2y=12 by subtracting like terms on each side of the equal sign.

2x−2x+2y+2y=12−4

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

2y+2y=12−4

Add 2y to 2y.

4y=12−4

Add 12 to −4.

4y=8

Divide both sides by 4.

y=2

Substitute 2 for y in x−y=2. Because the resulting equation contains only one variable, you can solve for x directly.

x−2=2

Add 2 to both sides of the equation.

x=4

The system is now solved.

x=4,y=2

Correct choice is B) x=4.

answer is 4

because y=2 then you subsistute it in and then you find X

x-y=2 turns to x=y+2 then you subsistute that into x of the equation 2x+2y=12 which then is 2(y+2)+2y =12 and you should get y=2 then you grab the other equation x-2=2 and you should get x=4

Answer:

11

Step-by-step explanation:

21/3+4

7+4

11

.......

Answer:

The equivalent percentage change is [tex]25.43[/tex] %

Step-by-step explanation:

Let there be a number 100

It is first increased 11 % , so the new number would be [tex]100 + 11[/tex]% of 100

i.e [tex]100 + 11 = 111[/tex]

Now, this number 111 is further increased by 13 % so the new number is [tex]111 + 13[/tex]% of 111

125.43

So , the total increase or equivalent increase is

[tex]\frac{125.43-100}{100} *100\\= 25.43[/tex]%

Answer:

Pretty sure it's B!

Step-by-step explanation:

Over the Y axis- (2,1)

To the left two times= (0,1)

Hope this helped!

Answer:

(0,1)

Step-by-step explanation:

Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)

Answer:

18 units

Step-by-step explanation:

A picture of what it would look like is at the bottom.

You know that the legs are equal because it's isosceles, so AB = AC. This means:

[tex]4x - 14 = x + 10\\3x - 14 = 10\\3x = 24\\x = 8[/tex]

using the rules of solving an equation.

The length of one leg is:

[tex]x + 10\\8 + 10\\18[/tex]

Answer:

X=6

Step-by-step explanation:

THE answer IS :X=6

HOPE IT HELPED

Answer:

Step-by-step explanation:

Measure of RST-- 79*

Measure of angle VWT-- 33*

Measure of angle STR--  68*

Answer:

2 + y

Step-by-step explanation:

all you must do is add y to 2

Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.

Step-by-step explanation:

Answer:

y-intercept is 30

Step-by-step explanation:

Answer:

10201

Step-by-step explanation:

=(101)²

=(100+1)²

={100²+2(100)(1)+1²} [(a+b)²=a²+2ab+b²]

=10000+200+1

=10201

Solution :-

Given,

We need to solve it using identities.

>> (100 + 1)^2

As we know that,

>> (a + b)^2 = a^2 + b^2 + 2ab

Here,

Using the identity we gets,

>> (100)^2 + (1)^2 + 2(100)*(1)

>> 10000 + 1 + 200

>> 10000 + 201

>> 10201

Answer:

[tex]\angle EHG = 80[/tex]

Step-by-step explanation:

Given

ABC ∼ EHG

See attachment

Required

Determine [tex]\angle EHG[/tex]

First, we calculate x in ABC

[tex]x + 2x + 60= 180[/tex]

[tex]3x + 60= 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]

and

[tex]\angle ABC = 2x[/tex]

[tex]\angle ABC = 2 * 40[/tex]

[tex]\angle ABC = 80[/tex]

Hence:

[tex]\angle EHG = 80[/tex]

Answer:

Step-by-step explanation:

The answer is 570 because if you multiply 38 times 15 = 570 so it is 570. Thank you for answering to hope this helps you if you need more help contact me!

Answer:

$5.70

Step-by-step explanation:

Since it is 15% to make it a decimal you would move the decimal 2 places to the left to make it 0.15 and then multiply like this 38(.15) which is 5.7. So, shipping and handling is $5.70.

Answer:

Option A

37°

Step-by-step explanation:

4x+ 2 = 150° [Vertically Opposite Angles]

=> 4x = 150 - 2

=> 4x = 148

[tex] = > x = \frac{148}{4} [/tex]

=> x = 37° (Ans)

Answer:

(4x+2)°=150°[by vertical opposite angles]

4x=150-2

4x=148

x=148/4

x=37

Answer:

type of music listened to on the radio

Answer:

a) OP:RT = 10:3

b) OQ = 15 cm

c) m<P = [tex]60^{o}[/tex]

d) m<Q = [tex]94^{o}[/tex]

Step-by-step explanation:

Given that: ΔOPQ is similar to ΔRTS

Then;

a) OP:RT = 12:3.6

                 = [tex]\frac{120}{36}[/tex]

                = [tex]\frac{10}{3}[/tex]

                = 10:3

The ratio of OP to RT is 10:3.

b) The measure of length OQ = [tex]\frac{10}{3}[/tex] x 4.5

                                 = 15 cm

c) m<P ≅ m<T

So that,

m<P = [tex]60^{o}[/tex]

d) m<Q ≅ m<S

But,

26 + 60 + m<S = 180 (sum of angles in a triangle)

86 + m<S = 180

m<S = 180 - (86)

        = [tex]94^{o}[/tex]

Thus,

m<Q = [tex]94^{o}[/tex]

Answer:

6.64 :)

Step-by-step explanation:

83/x = 100%/8%/

Reciprocal is x/83 = 8/100. Cross multiply we get 6.64 :)!