Consider parallel lines cut by a transversal.

Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

Answer:

15

Step-by-step explanation:

triangle is isosceles

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

[tex] \theta = 30 + 10 = 40 [/tex]

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{BC}{42} [/tex]

Multiply both sides by 42

[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]

[tex] 35.24 = BC [/tex]

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

[tex] \theta = 30 [/tex]

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(30) = \frac{BD}{42} [/tex]

Multiply both sides by 42

[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]

[tex] 24.25 = BD [/tex]

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

Step-by-step explanation:

its ratio so it has to be A

Answer:

480 minutes

Step-by-step explanation:

60 minutes = 1 hr

60 x 8 = 480

480 minutes = 8 hrs

Answer: 115 degrees

Step-by-step explanation:

Give me the brainliest plz!

Answer:

Hope it will help you

Step-by-step explanation:

Jonathan can buy 33 games.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend

Let he can buy x games, then the equation will be,

0.75x+10 = 35

0.75x = 25

x = 100/3 ≈ 33

Hence, Jonathan can buy 33 games.

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Answer:

Heidi wants to compute:

17 - 9.

First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:

17 - 9 + 0

adding zero does not change the sum

1 - 1 = 0

then:

17 - 9 + 0 = 17 - 9 + 1 - 1

Now we can do:

17 - 9 - 1 + 1

17 - (9 + 1) + 1

17 - 10 + 1

(17 - 10) + 1

7 + 1 = 8

Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.

Then, you need

Answer:

a

Step-by-step explanation:

aa

Answer:

D

Step-by-step explanation:

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ 3p + 1.5s = 15

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Matea spent $15.00 on protein bars and sports drinks.

Each bar cost $3.00 and each sports drink cost $1.50.

Now,

Let the number of protein bars = p,

And, the number of sports drinks = s

So, We can formulate;

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ $3p + $1.5s = $15

⇒ 3p + 1.5s = 15

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Answer:

23.59 - 14.89 = x

x = 8.7

Step-by-step explanation:

To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.

23.59 - 14.89 = x, so x = 8.7

Answer:

8.7

Step-by-step explanation:

Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.

Answer:more info pl

Z

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

A+B=C

A^2+X=C^2

12^2+X=24^2

144+X=576

/144        /144

    x=4

Answer:

The probability of getting a sum less than or equal to 4 ​is 1/6.

Step-by-step explanation:

When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.

When two dices are rolled, the number of sample space elements is:

[tex]n(S) = 36[/tex]

Let A be the event that the sum of outcomes is less than or equal to 4:

[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]

That implies

[tex]n(A) = 6[/tex]

The probability of getting sum less than or equal to 4 will be:

[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]

Hence,

The probability of getting a sum less than or equal to 4 ​is 1/6

The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".

The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.

Let,

The event that the sum less than as well as equivalent to 4 be "A".

According to the question,

Whenever the 2 dices are rolled, the no. of outcomes will be:

= 6 × 6

= 36

and,

The no. of sample elements will be:

n(S) = 36

Now,

A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}

The probability be:

→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]

           = [tex]\frac{6}{36}[/tex]

           = [tex]\frac{1}{6}[/tex]

Thus the response above is correct.

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Answer:

[1,2]; m = 7

Step-by-step explanation:

Answer:

1 .

because sqare root of -1= 1

Answer: 7.5 meters

Step-by-step explanation:

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

Answer:

57.375

Step-by-step explanation:

Multiply then move the decimal

Answer:

57.375

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 675 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 675 is 100%, so we can write it down as 675=100%.

4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.

5. Now we have two simple equations:

1) 675=100%

2) x=8.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

675/x=100%/8.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.5% of 675

675/x=100/8.5

(675/x)*x=(100/8.5)*x       - we multiply both sides of the equation by x

675=11.764705882353*x       - we divide both sides of the equation by (11.764705882353) to get x

675/11.764705882353=x

57.375=x

x=57.375

now we have:

8.5% of 675=57.375

hope it helpsssssss :)

sssssssssssssss

Answer:

The GCD of 510 and 92 is 2

Step-by-step explanation:

510 : 2 = 255

510 : 3 = 170

510 : 4 = 127.5

92 : 2 = 46

92 : 3 = 30.6667

92 : 4 = 23

hope this helps!

Answer:

It may be 220 9/23. If it's wrong sorry lol.

Step-by-step explanation:

Answer:

The year is  [tex]b = 1995[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       [tex]d = a - k[/tex]

=>    [tex]d = 31 - 28[/tex]

=>   [tex]d = 3\%[/tex]

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       [tex]n = \frac{3\%}{0.6\%}[/tex]

=>     [tex]n = 5\ years[/tex]

Generally the year which the considered percentage will be attained is  

    [tex]b = 1990 + n[/tex]

=> [tex]b = 1990 + 5[/tex]

=> [tex]b = 1995[/tex]

Answer:

Step-by-step explanation:

Step one:

weekly pay = $185

commission= 5.5% of sales= 0.055

let the sale be x

and his gross pay be represented by y

hence the expression for the total/gross pay is

y=0.055x+185

Step two:

Required is the gross pay y for x=3422

substituting we have

y=0.055*3422+185

y=188.21+185

y=373.21

Hence for a sale of $3,422 made his gross pay is $373.21

Answer:

i think its b

Step-by-step explanation:

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

Answer:

y=-72

Step-by-step explanation:

3(-2) = -6, y=12 times -6, y= -72

Answer:

The correct answer is B. ΔVTU and ΔABC

Step-by-step explanation:

I took the test hope this helps :)

Answer:

Step-by-step explanation:

There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).

-7, -5 trans forms into 7, -5

-4, -2 transforms into 4,-2

4, -4 transforms into -4, -4