Prove <5 is supplementary to <6 using theorems.

Prove &lt;5 Is Supplementary To &lt;6 Using Theorems.

Answers

Answer 1

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.


Related Questions

Which of the following best describes a ratio?

Answers

Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option

A.  A comparison of two numbers

A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8

Learn more on ratios:

https://brainly.com/question/2328454

Calculator
(4y + 10°
What is the value of y?
Enter your answer in the box.
759
(3x)
B
y =

Answers

Answer:

  y = 5

Step-by-step explanation:

The base angles of this isosceles triangle are congruent, so the angle at A is ...

  A = 180° -2(75°) = 30°

  (4y +10)° = 30° . . . . . substitute the given expression for angle A

  4y = 20 . . . . . . . . . . divide by °, subtract 10

  y = 5 . . . . . . . . . divide by 4

_____

Additional comment

The value of x is 25.

x is found from 3x=75, by dividing both sides of this equation by 3.

1 32 multiplied by 0.32 when rounded to the nearest hundredths

Answers

Answer:

42.20

Step-by-step explanation:

132 ×0.32

=42.24

rounded off it give 42.20

A recipe for 24 cookies requires112 cups of sugar. If Ben wants to make 36 cookies, how much sugar does he need?

Answers

Answer:

168 cups of sugar

Step-by-step explanation:

36 cookies require you to use what the recipes calls for plus one half.

112 divided by two is 56

112 + 56 = 168 cups

I hope that this helps!

For this case we have the following data:

24 cookies require 1 1/2 cups of sugar. To know the amount of sugar that is required to make 36 cookies, we make a rule of three:

24 -----------> 1 1/2

36 -----------> x

Where x represents the amount of sugar required to make 36 cookies.

Thus,   cups of sugar are required to make 36 cookies.

How do you write as an expression of inequality, then solve it?

Twice a number is more than the sum of that number and 8

Answers

Answer:

2x > x + 8

x > 8

Step-by-step explanation:

(Twice a number)   (is more than)   (the sum of that number and 8)

        2x                          >                                   x + 8

2x > x + 8

Subtract x from both sides

x > 8

A recipe asks for 4 1/2 pounds of chicken.

How many pounds of chicken are needed to make 1/2 of a recipe?

Express the answer in simplest form.

Enter the answer in the box.

Answers

Answer:

2/1/2 you need 2and 1/2 of chicken

At Sidney's Hats, 84% of the 50 hats are baseball caps. How many baseball caps are there?

Answers

Answer:

thats what i said

Step-by-step explanation:

42 baseball caps

Since 84% = 84/100 , and 50 is 1/2 of 100 we can think of 84% of 50 being half of the value of 84% of 100. So 84/2 = 42

There are other ways of solving such as multiplying 50 by 0.84, however I believe that how I solved it was the easiest way for this specific problem :)


   
   
  
     
 
 

Answers

love the question marks babe though i think you need to check this out so someone can answer lol

On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?

Answers

Answer:

Second test=88

Third test=89    Hope this helps please mark brainliest it helps a lot! Thanks!

Step-by-step explanation:

According to the question, here we got to know that John scored 72 points in the first test

In the second he scored higher than the 1st test

In the third he scored 1 mark more than the second test

His average in the three tests was 83

So,

Let's the marks scored in the 2nd test be x

Hence, in the third test he got x + 1

Average is 83

[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]

In the final exams, 40% of the students failed chemistry, 25% failed physics, and 19% failed both chemistry and physics. What is the probability that a randomly selected student failed physics given that he passed chemistry?

I have answered the question in the image below, but I would like to know if it is correct. If it is not, please include an explanation of why, as well as the step by step to get the correct answer

Answers

Answer:

  10%

Step-by-step explanation:

If 40% failed chemistry then 60% passed chemistry.

If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.

If we let p' represent failing physics and c represent passing chemistry, then ...

  P(p'|c) = P(p'c)/P(c)

  P(p'|c) = 6%/60% = 0.10 = 10%

If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.

__

Your answer is correct.

To solve this problem, we can use conditional probability.

Let's assume that there were 100 students in the final exam.

According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.

We can see that 25% of the students failed physics, and 19% of the students failed both chemistry and physics.

To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:

[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}[/tex]

We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).

Therefore,

[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%[/tex]

So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.

There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?

Answers

Answer:

4 + 4 + 32 = 40 rows

Step-by-step explanation:

Mr. Hinkle baked a pie for Thanksgiving. He cut the pie into 6 piece. He and 2 of his friends each at one slice. What percent of the pie did they eat? *

30%
60%
50%
20%

Answers

Answer:

30%

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

explain how the model represents 5/ 1third

Answers

Here is ur perfect answer

In triangle GHI, m H is 20 more than
m G, and m G is 8 more than m I.
What is the measure of each angle?

Answers

H =20

G = 8 mor than I

the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer

To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.

Answers

Answer:

option d

Step-by-step explanation:

Your should have attached the equation for answer to be explained

Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?

Answers

Answer:

You told me to resolve this question


Which statement is true in the question below?

Answers

Answer:B

Step-by-step explanation:

Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames

Answers

Answer:

36:27

Step-by-step explanation:

18 - 3 = 15$ for each picture frame

15$ (picture frames) : 18$ (albums)

4 picture frames : 3 albums = 114$

1026 divided by 114 = 9

4x9 = 36 picture frames

3x9 = 27 albums

36:27

Answer:

Marie bought 36 frames and 27 albums

Step-by-step explanation:

So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:

15f + 18a = 1026

Now add in the ratio

(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026

114x = 1026

x = 9

Now this means the ratio fit 9 times into the end number

Picture Frames: 4 x 9 = 36

Albums: 3 x 9 = 27

And to check we plug back in

15(36) + 18(27) = 1026

540 + 486 = 1026

1026 = 1026

Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)

Group of answer choices

8 and 1 over 2 ÷ 1 over 4

8 and 1 over 2⋅ 1 over 4

8 and 1 over 2 + 1 over 4

8 and 1 over 2 − 1 over 4

Flag question: Question 4

Answers

Answer:

  (a)  8 1/2 ÷ 1/4

Step-by-step explanation:

Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).

  miles = (1/4)n

If Katie jogged 8 1/2 miles, then we have ...

  8 1/2 = (1/4)n

We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:

  (8 1/2) ÷ (1/4) = n

_____

Additional comment

If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.

  [tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]

If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)

As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.

Solve each inequality. Graph and check the solution.
e
1.
<3
2
0 1 2 3 4 5 6 7 8 9 10 11

Answers

Answer:

xxxx

Step-by-step explanation:

(03.02 MC) The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. (The figure is not drawn to scale.) A 6 mi 2 mi 00 B С Which of the following choices is closest to the distance (in miles) between points A and B?​

Answers

9514 1404 393

Answer:

  (b)  5.66 mi

Step-by-step explanation:

You only need to eliminate the unreasonable answers to make the correct choice.

The hypotenuse of the right triangle is its longest side, so the unknown length must be less than 6. That eliminates the last two choices.

The unknown length cannot be less than the difference of the sides shown, so the unknown length must be more than 4. That eliminates the first choice.

The only reasonable choice is ...

  B.  5.66 miles

_____

If you like, you can calculate the distance using the Pythagorean theorem.

  AB² + 2² = 6²

  AB = √(36 -4) = √32 ≈ 5.66 . . . miles

if I move up 8 and then move down 8 where am I located?​

Answers

Answer:

you are back in your place.

Step-by-step explanation:

Does the equation Y equals 2X +3 represent a proportional relationship

Answers

Y = 2x + 3
Plug in 0 for x
Y = 2(0) + 3
Y = 3, therefore the point (0,0) cannot work because there’s a y- intercept.
Proportional means you will start at the point of origin (0,0) but this case, that is not possible.

Not proportional

Can someone put an answer for each box plzzzz.

Answers

we need the drop down options..

The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.

Answers

Answer:

8/64 = 0.125 = 12.5%

Step-by-step explanation:

8/64 = 0.125 = 12.5%

How do the expressions 5h2−3g and 3(g+h)h compare when g = 10 and h = 3?

Drag a symbol into the box to correctly complete the statement.

5h2−3g Response area 3(g+h)h when g = 10 and h = 3.

Answers

Answer:

the answer is >

Step-by-step explanation:

I took the test

what is (12x2)-(45/5)

Answers

Answer:

[tex](12 \times 2) - \left(\dfrac{45}5 \right) =24 -9 = 15[/tex]

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

(12 × 2) - (45 / 5) ← evaluate parenthesis

= 24 - 9

= 15

1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?​

Answers

Answer:

2:1  or  2

Step-by-step explanation:

*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".

 >> therefore 10/5 can be simplified to 2/1 )***

    For every 10 notebooks, there are 5 ballpens.

    Therefore, for every 2 notebooks there is 1 ballpen (The simplification).

EXTRA:  

**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.

  2/1 is not the same as 1/2 **

five and one third plus five ninths

Answers

Answer: The answer is 8/9

Step-by-step explanation:

Answer:

53/9 or 5 and 8/9

Step-by-step explanation:

5 1/3 + 5/9

we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get

16/3

we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:

48/9

now we can add the two:

48/9 + 5/9 = 53/9 or 5 and 8/9

Distributive property to simplify 6(8) + 6(-2)

Answers

Answer:

36

Step-by-step explanation:

You would multiply 6x8+6x(-2), and that would equal 48+(-12) which is basically 48-12 = 36.

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