Mathematics High School

if p q by the consecutive interior angles theorem which angles must be supplementary​

If P Q By The Consecutive Interior Angles Theorem Which Angles Must Be Supplementary

Answers

Answer 1

Answer:

Angles 3 and 8 are consecutive interior angles

Step-by-step explanation:

Here, we want to use the consecutive interior angles theorem to find the supplementary angles

We start by looking at the transversal line

two angles that are directly above each other on the two lines are consecutive interior angles that are supplementary

We have this two as;

Since it is P and Q that are parallel, it is angles 3 and 8 that are consecutive interior angles

Related Questions

A triangle’s base is 3 feet longer than twice its height, h. To create a new triangle, the base is decreased by 4 feet, and the height is increased by 2 feet. Which expression represents the area of the new triangle?

Answers

Answer:

area of the triangle =

[tex] \frac{(x - 4) \times (y + 2)}{2} [/tex]

let base be x and height y

hope it helped

PLS mark BRAINLIEST

Answer:

let height be x

base =2x+3

for new

height =x+2

base=2x+3-4=2x-1

area of new triangle=1/2_newbase×height

=1/2 (x+2)(2x-1) is required expression

Find a POSITIVE and NEGATIVE co-terminal angle for
-19(pie)/8

Answers

0928-210=8 is the answer

I need this quick!
Which equation has no solution?
|4x - 2|= -6
|-2 - x|= 9
|3x + 6|= 6
|-2x + 8|= 0
thanks so much! <3

Answers

Answer:

Hope that answers your question. The 3rd function has no solution

Please help me with this problem!?

Answers

Answer:

(-2.5,2)

Step-by-step explanation:

A bag contains 100 marbles: 30 are red, 25 are green, 15 are blue, 7 are yellow, and the rest are orange.

Consider the following events, and then answer the question.

Event A: drawing a green marble
Event B: drawing a purple marble
Event C: drawing a red marble
Event D: drawing a yellow marble

Which probability is the smallest?

Answers

Answer:

a.25 out of 100 chances

b. 0 out  of 100 chances

c. 30 out of 100 chances

d. 7 out of 100 chances

Step-by-step explanation:

pls help i don’t understand!

Answers

Answer:  111 degrees

You may need to input the number only without the "degrees".

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

Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

---------------------

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

---------------------

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

----------------------

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

Solve the system of equations. What is the solution?
10x – 4y = 12
5x + 2y = 14

Answers

Answer is 2

Step-by-step explanation:

I give brainlest, please help.

Answers

the answer is, x=11

hope this helps!

Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125. Estimate the number of months that Zea can continue this pattern until she reaches her credit limit.

Answers

Fun fact actually really really sad fact i dont know

The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.

What is a credit card?

A credit card is a method of payment that is given to customers so they may pay a merchant for products and services depending on the debt they have accumulated.

Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125.

The distinction between the installment made and the charges done will be given as,

Difference = $200 - $125

Difference = $75

Partition as far as possible by this distinction to find the number of months that Zea can proceed with this example until she contacts her credit limit.

⇒ $2,000 / $75

⇒ 26.667 ≈ 27

The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.

More about the credit card link is given below.

https://brainly.com/question/27350251

#SPJ2

four swimmers each completed 25 yards of a 100 yard relay in the order that they swam, the swimmers times are given below.

First swimmer in the relay: 13 sec
Seconed swimmer in the relay: 14.273 sec
Third swimmer in the relay: 16.04 sec
Fourth swimmer in the relay: 11.802 sec

Which statment is true
A. The differance between the slowest and the fastest 25-yard times was 5.842.

B. The teams total 100-yard relay time was 55.079 sec.

C. The last two swimmers took a total of 27.842

D. The second swimmer was 2.127 sec fasterbthen the third swimmer​

Answers

Answer:

C.

Step-by-step explanation:

A. The difference between the slowest and fastest is 4.238 secs

B. The team total is 55.115 secs

C. The last two swimmers took a total of 27.842 (correct)

D. The second swimmer was faster than the third by 1.767 secs

Justin and his friends went to a movie that started at 7:35 p.m. Justin got home 50 minutes after the movie ended. What time did Justin get home?

Answers

10:10 pm because the movie ended at 9:20 and 50 minutes later would be 10:10 :)

20 POINTS ANSWER QUICK

Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3

Answers

Answer: C is not a mixed number

If the discriminant is equal to 4, how many solutions are there?

Answers

Answer:1 only solution

Step-by-step explanation:

If the discriminant is equal to 4, the number of solutions there are is; 2 solutions.

According to the question;

If the discriminant is equal to 4, how many solutions are there?

When the discriminant is a perfect square as in 4 above; Then the solutions to the equation are not only real, but also rational.

However, If the discriminant is positive but not a perfect square, then the solutions to the equation are real but irrational.

There are 2 rational solutions if the discriminant is equal to 4.

Read more:

https://brainly.com/question/23290274

Simplify this expression 2(10) + 2(x - 4​

Answers

Answer:

12 + 2x

Step-by-step explanation:

2(10) + 2(x - 4)

20 + 2(x - 4)

20 + 2x - 8

12 + 2x

Answer:

-6

Step-by-step explanation:

2(10)+2(x-4)=0

20+2x-8=0

20-8+2x=0

12+2x=0

2x=-12

x=-6

Someone help and plz make sure it’s right

Answers

The answer for this would be 10

Classify this expression based on the number of terms: 4a^2+9ab^2-15b^3. A.Monomial B.Binomial C.Trinomial D.Polynomial

Answers

It is a trinomial because it has 3 terms.

Which value of x makes 2(x+8)=40 *
A x=20
B x=12
Cx=42
plz help me

Answers

The answer is B why because you have to multiply everything in the parentheses by 2 then subtract 16 from 40 and itself the ln divide 2 from 24

158.297 rounded each number to the nearest while number

Answers

Answer:

158.3

Step-by-step explanation:

it cost $5 per game to bowl plus $8 to rent shoes. if you have $30 to spend, how many hours can you spend bowling?

Answers

Answer:

21

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

30-8=22

5*4=20

20 dollars is the closest you can get without going over

what is x worth in 8(-6x + 14) = -128

Answers

Answer:

5

Step-by-step explanation:

Complete the operation. Show steps needed
without a calculator.
a) 3.76 + 0.345

Answers

The answer is 4.105 explaining is just adding them and keeping the decimals it place

Answer:

4.105000

Step-by-step explanation:

because you have to add up

A wedding reception was
being held at Stefano's
restaurant. They charged
$2.00 per person for
appetizers, $20.00 per
person for the main course
and $250 for the wedding
cake. There were 50 people
at the reception. What was
the total cost of the
reception?

Answers

Answer:

the total cost of the wedding would be: 1,350

Step-by-step explanation:

2×50=100 and 20×50=1,000

100+1,000=1,100

1,100+ 250= 1,350

total for wedding is 1,350

:)

Answer: The answer for this problem is $1350.

Step-by-step explanation:

The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.

50 x 2 = 100, how much money in total for the appetizers

50 x 20 = 1000, how much money in total for the main course

Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!

$100 + $1000 = $1100

$1100 + $250 = $1350

This is how you get the answer!

PLS HELP ASAP! GIVING BRAINLIST!

Answers

Answer: 5[tex]\sqrt{11}[/tex]

Step-by-step explanation:

25*11=275

[tex]\sqrt{25}\sqrt{11}[/tex]

25 is perfect square but 11 is not so 11 stays inside the radical while 25 is changed to 5

Solve: 5(3x + 2) -2 = 2 (1 -7x)​

Answers

x = -6/29 is the correct answer

Answer:

x=-6/29

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(3x+2)−2=2(1−7x)

(5)(3x)+(5)(2)+−2=(2)(1)+(2)(−7x)(Distribute)

15x+10+−2=2+−14x

(15x)+(10+−2)=−14x+2(Combine Like Terms)

15x+8=−14x+2

15x+8=−14x+2

Step 2: Add 14x to both sides.

15x+8+14x=−14x+2+14x

29x+8=2

Step 3: Subtract 8 from both sides.

29x+8−8=2−8

29x=−6

Step 4: Divide both sides by 29.

29x/29=-6/29

x=-6/29

Mateo buys 5 postcards during each day of vacation. Write an equation that shows the
relationship between the days of vacation x and the number of postcards bought y.
Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

The answer is y=5x

Step-by-step explanation:

Which statement about this figure is true?????

Answers

if ur talking abt symmetry then uh
that figure most definitely doesn’t have a line of symmetry

what is the surface area?

Answers

Answer:

Hope that answers your question


Can someone help me with this?

Answers

Answer:

I'm pretty sure it's 1, 2, and 3, but I'm not positive

1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)

Answers

Answer:

No Solution

Step-by-step explanation:

2(x - 5) = 2(x - 3)

2x -10 = 2x -6  When we subtract 2x from both sides we are left with a false statement.

-10 [tex]\neq[/tex] -6

Thus, no solution.

Write each expression in standard from verify that your expression is equivalent to the one given by evaluating each expression using x =5
a) 3x + (2 - 4x)
b) 3x + (-2 + 4x)
c) -3x + (2 + 4x)
d) 3x + (-2 - 4x)
e) 3x - (2 + 4x)
f) 3x - (-2 + 4x)
g) 3x - (-2 - 4x)
h) 3x - (2 - 4x)
i) -3x - (-2 - 4x)
PLEASE HELP ME!!! I DONT UNDERSTAND!

Answers

I don’t understand too
Lololololololol
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