The difference between two same side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Answers

Answer 1

Answer:

  107.5° and 72.5°

Step-by-step explanation:

  x + y = 180          same side interior angles of two parallel lines add up to 180

  x - y = 35            

___________

     2x = 215                           add above two equations

       x = 107.5°                       divide by 2 to isolate x

Substitution to find y:

  x + y = 180

  107.5 + y = 180

              y = 72.5°

Answer 2

The measure of these two angles is 107.5° and 72.5°.

Given that,

The difference between two same-side interior angles of two parallel lines is 35 degrees.We need to find the measure of the two angles. Here we assume the two angles be x and y.

Based on the above information, the calculation is as follows:

x + y = 180          

And,

x - y = 35            

So, after solving it, it comes

2x = 215                            

x = 107.5°                  

So, y = 180 - 107.50 = 72.5

Therefore we can conclude that the measure of these two angles is 107.5° and 72.5°.

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Therefore we can conclude that


Related Questions

0/1 Patrick has $375 in his account. This is $90 more than his brother Ralph has in his account. Write an equation using x to find the amount of money in Ralph's account.

Answers

Answer:

x + 90 = 375

x represents the amount of money in Ralph's account.

What is the product of the 5th square number and the 2nd square number?

Answers

for 2 the product is always an square number and 5 is 25

The product of the square of 5 and the square of 2 = 100

The question should be properly written as the product of the square of 5 and the square of 2.

The square of 5 = 5²  =  25

The square of 2  =  2²  =  4

The product of the square of 5 and the square of 2 = (Square of 5)  x  (Square of 2)

The product of the square of 5 and the square of 2 = 5²  x 2²  

The product of the square of 5 and the square of 2 = 25  x  4

The product of the square of 5 and the square of 2 = 100

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can someone plz explain how to do this?​

Answers

Subtract y
3x - y + 5 = 0

(6+2i)÷3i solve this problem

Answers

2/3-2i hope this helps you

Suppose that an individual has a body fat percentage of 12.4% and weighs 158 pounds. How many pounds of his weight is made up of fat?

Answers

158 pounds x 0.124 = 19.592 pounds
Answer: 19.592 pounds is made of fat

An animal shelter provides a bowl with 1.15 liters of water for 6 cats. About how much water will be left after the cats drink their average daily amount of water?

Answers

Answer:

they would each be getting an average of 0.25 liters of water a day

Step-by-step explanation:

Harper measured a line to be 5.4 inches long. If the actual length of the line is 5.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

The percent error of the measurement is 1.9%.

Given that, Harper measured a line to be 5.4 inches long.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

If the actual length of the line is 5.3 inches

So, the difference of length of line = 5.4-5.3

= 0.1

Now, the percent error = Difference in length of line/Actual length × 100

= 0.1/5.3 × 100

= 0.01887 × 100

= 1.9 %

Therefore, the percent error of the measurement is 1.9%.

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If two angles are both obtuse, the two angles are equal. What is the converse??

Answers

Answer:

If the angles are equal, then two angles are both obtuse

Step-by-step explanation:

converse flips the conclusion and hypothesis

Factor 7 out of 7d - 56
A)7(d - 8)

B)7(d + 8)

C)7(d + 56)

D)7(d - 56)

Answers

Answer:

A

Step-by-step explanation:

7d/7=d

-56/7=-8

7(d-8)

1.) We can write a equation of a line when we know only the slope and the _____________ of any point of the line.
2.) Given only two points, it is easy to find the equation of the line when you find first the _______________.

Answers

Answer:

1) coordinates

2) slope

Step-by-step explanation:

The equation of a line is given by the two equations:

[tex]y=mx+b[/tex], where m is the slope and b is the y-intercept, or

[tex]y-y_1=m(x-x_1)[/tex], where x₁ and y₁ is the location of any point on the line, and m is the slope.

→ As such, we know that given the slope and the coordinates of any point on a line, we can write the line's equation.

We can also find the slope of a straight line between two points with the following equation:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], where m is the slope, x1 and y1 is the location of the first point, and x2 and y2 is the location of the second point. Remember: rise (y) over run (x).

→ So, given only two points, it is easy to find the equation of the line when you first find the slope.

A study was created to test the effects of jazz on people’s sleep patterns. The hypothesis of the experiment, 2 groups of people were created.Group I was placed in a quiet room where they went to sleep and they were timed on how long they slept. The group 2 was placed in a room where jazz music played softly as they began to sleep and played throughout the night. As each group awoke,their sleep times were monitored. What is the independent Variable ? And what is the Dependent Variable?

Answers

Answer:

independent variable- Presence or absence of soft jazz music

Dependent variable - sleep time

Step-by-step explanation:

The independent variable refers to that variable that is manipulated in an experiment. The independent variable is being studied and its effect on the dependent variable is documented. Presence or absence of soft jazz music is the independent variable.

The dependent variable is the response variable. It is that factor that changes when the independent variable is manipulated. In this case, the sleep time of the participants in the study is the dependent variable.

HELP PLEASE ILL MAKE YOU BRILLIANT !?!

Answers

Answer:

For #7:

B= 506

C=25

D=792

For #8:

She would drive 385 miles

For #9:

He used 2.25 or 2 1/4 cups per batch

For #10:

She will have to mow 13 lawns.

For #11:

PART A:

The first box would be 0.5

The third box would be 40

The fourth box would be 3.5

PART B: You'll have to do that yourself now that you have to times.

PART C: She rode 20 kph

Really hoped this helped!!! Have a great night and Happy Thanksgiving :)

I’ll give 15 points to who ever answers my question

Answers

Ah trust me you wont get them correct. I've done this last year when I was a sophomore and honestly if I were you just random guess it. Like real talk

√n is approximately equal 4.2 then n is between

Answers

Answer:

5.24

Step-by-step explanation:

A turtle is 20 5/6 inches below the surface of the pond. It dives to a depth of 32 1/4. What is the change of the turtles posistion. HELP ASAP PLEAS AND THEANK YOU!

Answers

Answer:

I believe it's 11

Step-by-step explanation:

Sorry if I'm wrong

in 1975 a four function calculator cost $125. In 1995 a 4 function calculator cost $5. Find the
rate of change in cost of a calculator in dollars per year.
HELP ASAP

Answers

Answer:

it's -6 dollars per year.

Step-by-step explanation:

the expression would be (5-125)/(1995-1975) which would give you the average rate of change.

Help will give brainliest!!

Answers

Answer:

∠ TUW = 127°

Step-by-step explanation:

∠ QRU and ∠ TUW are corresponding angles and are congruent , thus

∠ TUW = ∠ QRU = 127°

ASAP what is the x and y intercept for −4x+7y=3

Answers

Answer:

x - (-3/4,0)

y - (0, 3/7)

Step-by-step explanation:

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):



if the bank charges 5.3% interest each year?

Answers

Answer:

the balance of the loan be after one year is $7897.5.

Step-by-step explanation:

Renee used the values in the table to calculate simple interest.

Principal $750
Interest rate ?
Time 11 years
Interest $412.50

Which interest rate is missing from Renee’s table?

0.05%

0.5%

5%

50%

Answers

Answer:

5% hope its correct

Step-by-step explanation:

The rate of Interest is 55.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given:

Principal= $750

Time = 11 years

Interest= $412.50

Using Simple Interest

SI= (PRT)/100

412.5 = (750 x R x 11) 100

41250 = 8250R

R= 5%

Hence, the rate of Interest is 55.

Learn more about Simple Interest here:

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Which is a linear graph, and which is a nonlinear graph?
How do you know?
Orange is linear; blue is nonlinear
Blue is linear; orange is nonlinear
Both are linear
Both are nonlinear

Answers

Answer:

Blue is linear

Step-by-step explanation:

For lines to be linear on a graph, they have to follow these 2 rules:

-be a straight line

-be written in the form of y=mx+b

Therefore, blue is linear and orange is nonlinear

I agree with the other guy

What's y'all favorite tic tok sound?

Answers

Answer:

Laxed (SIREN BEAT)" by Jawsh 685

Step-by-step explanation:

The sum of a number and its reciprocal is 3. Find the number

Answers

See the attachment....

simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x

Answers

Answer:

−8^4+2^3−4^2+6

Step-by-step explanation:

Distribute the - to 8x^4-5x^3+6x^2-2x:

-8x^4+5x^3-6x^2+2x

Now simplify:

-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6

Hope this helps!

so how do you do inverse fractions again?

Answers

Answer:

Opposite reciprocal; so 2/3 would be -3/2

Step-by-step explanation:

Answer:

To find fraction (number) inverse you need to do below steps: I. Remove wholes part. If you want to invert mixed number (or integer number), then you need convert it to improper fraction. For example: 2 1/2 should be converted to 5/2. In other case. when there is no wholes part, nothing to do in this step.

Step-by-step explanation:

Several Friends meet at an ice cream parlor.They order 5 ice cream cones and 3 sundaes and pay a total of $27.30.The ice cream cones cost a total of $14.25.What is the cost of one sundae?

Answers

Answer:

$4.35

Step-by-step explanation:

Answer:

the sundaes would have been $4.35 a peice! This is simple math i used a calculator! Dont waste your points! :)

Step-by-step explanation:

$27.30

- $14.25

________

13.05 Divided by 3 is = $4.35!

sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is better and why . Due in three hours!!!

Answers

Answer:

option b

Step-by-step explanation:

HELP ASAP The number of hours you study for an exam affects your grade. What is a reasonable value of the range?
A) 75
B) 1.25
C) -30
D) 1/2

Answers

Answer
B I could be wrong
Explanation

Find the slope of the line segment shown.

-1/2

-1

1/2

1

Answers

Answer:

slope = 1

Step-by-step explanation:

slope = (y2 - y1)/( x2-x1)

slope = -2-3/-3-2

slope = -5/-5

slope = 1

Select the graph that represents two quantities in a proportional relationship

Answers

Answer:

B and D

Step-by-step explanation:

A graph representing a proportional relationship is a straight line passing through the origin.

The only straight line graphs passing through the origin are B and D

Graph in Option D satisfies Proportional Relationship.

What is Proportional Relationship ?

The relationship between two variables such that on increase of one variable the other also increases by some proportion.

It is represented by

y∝ x

y = kx

where k is the proportionality constant

The graph should pass through origin to show a proportional Relation

and should have same proportionality constant through out

Option D satisfies both the condition with k = 0.5.

Therefore Option D is the correct answer.

To know more about Proportional Relationship

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