Fill in the missing statements and reasons in the proof

Answer:

x=17

Step-by-step explanation:

These are alternate interior angles and alternate interior angles are equal when the lines are parallel

9x+23= 10x+6

Subtract 9x from each side

9x+23 -9x= 10x-9x+6

23 = x+6

Subtract 6 from each side

23-6 = x+6-6

17 =x

Answer:

8.69 per pair

Step-by-step explanation:

Take the total cost and divide by the number of pairs

26.07 /3

8.69 per pair

Answer:

See pic below.

Step-by-step explanation:

Answer:

the answer is 100:60:40 hope it helps

This question is solved using probability concepts. We derive the probabilities from the tree given in the exercise, and with this, added to the use of conditional probability, we get the desired probabilities.

The probabilities are:

P(A) = 0.7, P(A and B) = 0.14, P(B) = 0.26, P(A or B) = 0.82, P(not B given A) = 0.8

Conditional probability:

In this problem, conditional probability concepts are used, and for this, we have that:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

P(A)

At the first node, we have that:

P(A) = 0.7

P(A and B):

From the first node, we have that [tex]P(A) = 0.7[/tex]

From A to B, there is 0.2, which means that [tex]P(B|A) = 0.2[/tex]

Thus

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.2 = \frac{P(A \cap B)}{0.7}[/tex]

[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]

So

P(A and B) = 0.14

P(B):

P(B) = P(A and B) + P(not A and B).

P(not A) = 0.3, P(B|not A) = 0.4, then:

[tex]P(not A and B) = 0.3*0.4 = 0.12[/tex]

P(B) = 0.14 + 0.12 = 0.26

P(A or B)

We have that:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

We already have the three of them, so just replace:

[tex]P(A \cup B) = 0.7 + 0.26 - 0.14 = 0.82[/tex]

Then

P(A or B) = 0.82

P(not B given A)

If A happens, either B happens, or it does not. That is:

P(B|A) + P(not B|A) = 1

Since P(B|A) = 0.2

P(not B|A) = 1 - 0.2 = 0.8

Then

P(not B given A) = 0.8

To take another look at conditional probability, you can check https://brainly.com/question/24161830

Answer:

here's the answer to your question

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex]  = [tex]\frac{6}{a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

a = 6[tex]\sqrt{2}[/tex]

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{b}[/tex] = 1 , so

b = 6

Answer:

x=6, y=4, z=8

I hope this is helpful!

Answer:

-1

Step-by-step explanation:

Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.

This means we are looking for a vertical line.

Instead of lambda, I'm going to use u.

So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.

So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.

So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.

The value of λ is -1 and is perpendicular to vector a.

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

Vector a = (1, 0) and b = (1, 1).

Here the vector is visualized as line is horizontal and has equation y=0.

Now, we have a + λb is perpendicular to vector a.

So, a + λb = (1, 0) + λ(1, 1)

                 = (1 + λ, 1)

Now, to get the vertical component we must have λ= -1.

Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.

Learn more about Vector here:

https://brainly.com/question/29740341

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Answer: the perimeter is 20

Step-by-step explanation:

Distance between C and D

Sqrt (-2-1)^2 + (1- -3)^2=

Sqrt -3^2 + 4^2=

Sqrt 25 = 5

Between D and E

Sqrt(5-2)^2+(0-4)^2=

Sqrt 25 = 5

Between E and F

Sqrt(1-5)^2+(-3-0)^2=

Sqrt 25=5

It is a square

The value of the perimeter of a quadrilateral is, 20 units

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Vertices are,

C (- 2, 1), D (2, 4), E (5, 0), and F (1, - 3).

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

CD = √(- 2 - 2)² + (1 - 4)²

CD = √16 + 9

CD = √25

CD = 5

DE = √( 2 - 5)² + (4 - 0)²

DE = √9 + 16

DE = √25

DE = 5

EF = √(5 - 1)² + (0 + 3)²

EF = √16 + 9

EF = √25

EF = 5

FC = √(- 2 - 1)² + (1 + 3)²

FC = √9 + 16

FC = 5

Thus, The value of the perimeter of a quadrilateral is,

CD + DE + EF + FC

5 + 5 + 5 + 5

20 units

Learn more about the addition visit:

https://brainly.com/question/25421984

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Answer:

Infenitely many solutions

Answer:

80°

Step-by-step explanation:

m<COB = 80°, it's the central angle for arc CB,

so mCB = 80°

Answer:

E. 7x

Step-by-step explanation:

3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .

So they remain the same.

(e) 12x

(f) 12x²

(g) 12x²

(h) 1x

(I) 2x²

(J) 2x²

(K) -10x

(L) -20x

(M) 6x²

(N) 20x²

(O) -15x²

(P) -12x³

Your answers were wrong so i did all of them

Quick tip the power comes only when you multiply and not when you add

For example x + x = 2x

x × x = x²

All the answers

Must click thanks and mark brainliest

Answer:

16 cows

Step-by-step explanation:

i just guessed and checked using

4*cow heads + 2 * geese heads

i got 16 cows and 47 geese

Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute  = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

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

Explanation:

"Use 3 for pi" is something I've never seen a teacher do before. Usually it's "use 3.14 for pi".

Anyway, the diameter of this cylinder is 2 inches, which cuts in half to 1 inch. This is the radius.

The height is 10 inches.

So we have r = 1 and h = 10

V = pi*r^2*h

V = 3*1^2*10

V = 30 cubic inches approximately

Answer:

V = 30

Step-by-step explanation:

1. lets find the radius

r = 1/2 diameter

2/2 = 1

r = 1

2. plug in our info into the equation!!!- using 3 for pi as said in the question

V = (pi) r^2 h

V = (3)*(1)^2*(10)

3. solve

V = 30

Answer:

75

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

Answer:

a

Step-by-step explanation:

3x+5=17

3x=17-5

3x=12

x=4

Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

Answer:

if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)

60 - 27.60 = 32.4

32.4/6 = 5.4 (divide the change between 6 people)

Each person will get $5.40 back.

hope it helps :)

Answer:

B

Step-by-step explanation:

Answer:

B) It is a relation but not a function of X

Explanation:

What Asha did was the vertical line test. This is a test to see if something is a function or not. Since a function can only have one output per input, if the vertical line intersects twice, it is not a function. However it is still a relation. A relation doesn't have to fit the rule that one output only has one input.

Answer:

247 = j - 285

Step-by-step explanation:

Anything that is labeled with "is" will be what the entire equation is equal to. (Also because the instructions are asking for an equation which is equal to something). Also, fewer than is the subtraction of two things. In this case it will be 285 and j. In the end the equation will be:

247 = j - 285

Hope this helped.

Answer:

4th quadrant

Step-by-step explanation:

quadrant 4 is (+,-)

Answer:

It is the 4th quadrant!

Step-by-step explanation:

Hope it helps! ;D

Answer:

A' (-6,12)

B' (9,9)

C' (-3,0)

Answered by GAUTHMATH

Answer:

[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]

1000 times

Step-by-step explanation:

Answer:

0.1% = 1 spin then

100% = ( 100×1) ÷0.1 = 1000

we are using 100% because its a sure bet it will happen but not logically

the answer is 1000

Answer:

D.

Step-by-step explanation:

5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.

Answer:

D. 5n - 6

Step-by-step explanation:

6 less means -6

The product of 5 and a number means 5 x n which is the same as 5n

And it wants us to subtract 6 from 5n

so we would write it as...

5n - 6