How can you use angle measures to prove that lines are parallel?

Answers

Answer 1

Answer:

Step-by-step explanation:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.


Related Questions

ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. how much would ariana need to invest,to the nearest ten dollars,for the value of the account to reach $110,000 in 14 years?

Answers

9514 1404 393

Answer:

  $84,330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

  110,000 = P(1 +0.019/12)^(12·14)

  P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

  P ≈ 110,000/1.30446

  P ≈ 84326.04 ≈ 84,330 . . . . dollars

Luca pays $165 per month for his car loan and an average of $2.30 per gallon of gas. He wants to keep his car expenses under $300 per month. Write and solve an inequality to find the greatest number of gallon "g", Luca can drive in a month while staying within his budget?

Answers

Answer:

58.69 gallons is the maximum she can get.

Step-by-step explanation:

165 + 2.3g ≤ 300

subtract 165 from both sides

2.3g ≤ 135

divide by 2.3 on both sides

g ≤ 58.6956521739

- x + 2y = 0
x + 2y = 1

Answers

Answer:

-no answer-

Step-by-step explanation:

Use elimination (subtract one equation from the other to get rid of one of the variables)

    x+2y=1

-   -x+2y=0

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

    ---=1

(nothing equals one)

so this is not a valid system of equations.

Amans age is three times his sons age.ten years ago he was five times his sons age .find their preseny age?

Answers

Click on the image and check the answer

solve it. also show you got the the answer. thank you.​

Answers

Answer:

a) [tex]42\leq 5t[/tex]

b) 8

Step-by-step explanation:

a) The MAX is 42 basketballs, so it has to be either less than or equal to 42. each team wants 5 so you would multiply 5 basketballs per team (which is variable t)

b) Once you plug in 10 in replacement of 5 you get the inequality: [tex]42\leq 5 * 10[/tex]

once you figure it out you get [tex]42 \leq 50[/tex]. 50-42 = 8. Gopal should purchase at least 8 basketballs.

Factor x^2-x-30 completely. If the poem polynomial cannot be factored, write “prime” show work

Answers

Answer:

(x+5)(x-6)

Explanation:

The way you can figure this out is by looking at which ones multiply to be 30, but add to be -1. If you were to make a list of what multiplies to be 30, you’d probably do:

30 • 1 = 30
10 • 3 = 30
2 • 15 = 30
5 • 6 = 30

In this case, the best possible answer would be “5 • 6 = 30.” Therefore, you would get:

(x 5)(x 6)

Now, you would have to determine what makes -1. In this case, the answer would be to put a “-“ for 6 and a “+” for 5 because -6 + 5 make -1.

(If you’re still unsure, you can FOIL what you factored.)

Find the area of the figure.

Answers

Answer:

SOLVE FOR RECTANGLE

Area: lw (length times width)

rectangle: lw (6x6)

AREA=36in

SOLVE FOR TRIANGLE B

Area: A=hbxb/2

A=hb/b2=6·6/2=18

TRIANGLE B=18in

SOLVE FOR TRIANGLE A

Area: A=hbxb/2

The height looks half the height as the other triangle

A=hb/b2=3·4/2=6

TRIANGLE A=6in

{ADD}

36+18+6

TOTAL: 60in

Step-by-step explanation:

HOPE THAT HELPED!!!

Help please!! Asap!! i’ll give brainly!

Answers

Answer:

For 21: The first option (the uppermost) is correct for question 21. When it is no greater than, it implies that it can be equal to the number.

For 22: x+637 ≤ 2000, let x be the money he can spend for everything else.

Let me know if this helps!

Answer:

well when he buys the ticket he is left with 1,363 dollars

Step-by-step explanation:

Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 5.​

Answers

Answer:

Step-by-step explanation:

a₇ = a₁r⁷⁻¹ = 5(⅔)⁶ = 320/729

For a particular sequence a₁ = 3, a₂ = 5 and aₙ = aₙ ₋ ₁ – aₙ ₋ ₂, for n ≥ 3. What is
the 2015th term in this sequence?

Answers

Answer:

a=3.5,d=0 and n=101

a

n

=a+(n−1)×d

a

n

=3.5+100×0

a

n

=3.5Step-by-step explanation:

My answer is the number below the question for ex: 1m

Can someone please tell me if I did this right. Sorry for the bad pic quality.

Answers

Answer:

Yes i think you did it right because its +3 - 2

I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

Hey what’s the total are of the parallelogram first then I can help

PLEASE HELP ILL GIVE BRAINLY!!!!!!!

Answers

Answer:

y = -x + 6

y = -1/2x - 4

Step-by-step explanation:

slope of function in table is -2

the greater the absolute value of the slope, the steeper the line

so the absolute values of -1 and -1/2 are less than absolute value of -2

X
RF SAID
Activ 5T Q2 Sum of angles in a triangle
Task
Prove that the angle sum of any triangle is 180°.
Tools
b) Find two pairs of equal angles.
= x (Alternate angles are equal.)
7
= y (Alternate angles are equal.)
y
G
с
a
Show your working
2
3

Answers

Answer:

2341

Step-by-step explanation:

Find the value of each variable in the parallelogram.

Answers

Answer:

n = 12 , m = 5

Step-by-step explanation:

since it is said it is a parallelogram so opposite sides are equal

n = 12 (being opposite sides of parallelogram)

m + 1 = 6 (being opposite sides of parallelogram)

m = 6 - 1

m = 5

Hope it will help :)

Answer:the answer on the bottom is wrong you need to find the variable not x

Step-by-step explanation:

I got it wrong that’s why I said it

find the value of 1/2 divide by 1/3

Answers

Answer:

1.5

Step-by-step explanation:

its 1.5 not 1/5

Answer: I am pretty sure it's 1.5

solve the system of equations by graphing. y=4x+2 y=7/2x+1 plz help

Answers

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah i guess it is?

Step-by-step explanation:

What is the temperature change if it was -2°C midnight and then the next day the temperature had risen to 9°C

Answers

The answer to your math problem is 11

Plot the vertex and the axis of symmetry of this function on the provided graph.

f(x) = (x + 2)^2 − 6

Answers

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

ANSWER ASAP!!!
PLS HELP.
ANSWER BOTH QUESTIONS FOR ALL POINTS.

Answers

Answer:

128°

Step-by-step explanation:

x + 154° + 78° = 360° {being complete turn}

x + 232° = 360°

x = 360° - 232°

x = 128°

someone report this so it will get taken down

At the college bookstore, used books sell for 35% less than new books. If Johanna's new science book cost $65, how much would the same book cost if it were used?

Answers

The answer is $22.75

Help please!
Function Notation

Given f(x)=8x−9

a. Find f(3y−1)=8(3y−1)−9=

b. If f(x)=−23, find the value of x.

Answers

Step-by-step explanation:

Given

f(x) = 8x - 9

Then

For a.

f(3y - 1 ) = 8(3y - 1 ) - 9

= 24y - 8 - 9

= 24y - 17

Now for b.

f(x) = - 23

or, 8x - 9 = - 23

8x = - 23 + 9

8x = - 14

x = - 14 / 8

x = - 7 / 4

Hope it will help :)

“Two lines in a plane always intersect in exactly one point.”
Which of the following best describes a counter example to the assertion above ?
A. Coplanar Lines
B. Parallel Lines
C. Perpendicular Lines
D. Intersecting Lines

Answers

The answer is B.
Parallel lines as they are in the same plane but never meet.

The counter example to the assertion given is  Parallel Lines , Option B is the correct answer.

What are Parallel Lines ?

Lines which never meet and the distance between them always remains constant are called Parallel Lines.

The statement given is

Two lines in a plane always intersect in exactly one point.

The counter example of the statement will be the lines that never meet , and such lines are Parallel Lines.

Therefore Option B is the correct answer.

To know more about Parallel Lines

https://brainly.com/question/16701300

#SPJ2

PLZ HELP MEEEEE answer the chart first then the second question THANKYOU DEARLYY

Answers

Answer:

6 9 4  7

Step-by-step explanation:

i teach math

Identify the like terms in 436 – 33y + 8x + 5xy.

Answers

Answer:

436, 33y, 8x, 5xy

Step-by-step explanation:

In ΔUVW, u = 480 cm, v = 180 cm and ∠W=120°. Find the length of w, to the nearest centimeter.

Answers

Answer:

591

Step-by-step explanation:

The length of w from the given triangle UVW is 591 cm.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² - 2bc·cosA.

Given that, in ΔUVW, u = 480 cm, v = 180 cm and ∠W=120°.

w² = u² + v² - 2uv·cosW

w² = 480² + 180² − 2×480×180·cos120°

w² = 230400 + 32400 - 172800·(-0.5)

w² = 349200

w = √349200

w = 590.93

w = 591 cm

Therefore, the length of w is 591 cm.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ3

To rent a bounce house: At Mike's Bounce Shop costs $30 plus $2 per hour. At Jose's Bounce Rentals, it costs $12 plus $8 per hour. After how many hours will the rental cost at both shops be equal? What do your variables represent?Solve the problem using the Equal Values Method. Show your work for finding x AND y.

Answers

Answer: After 3 hours both will have the same cost.

Step-by-step explanation:

Let x = Number of hours and y be the total cost.

Total cost = Initial cost + (cost per hour)(Number of hours)

At Mike's Bounce Shop,

Total cost (y)= 30+2x

At Jose's Bounce Rentals,

Total cost(y) =  12+8x

When both shops have the same cost, then

[tex]12+8x=30+2x\\\\\Rightarrow\ 8x-2x=30-12\\\\\Rightarrow\ 6x=18\\\\\Rightarrow\ x=3[/tex]

Total cost = 12+8(3)=12+24=$36

Hence, After 3 hours both will have the same cost.

State the quadrant or axis that each point lies in. (-5,2)

Answers

The point lies in the second quadrant

At Stacy's Hats, 41 out of the 82 hats at the store are baseball caps. What percentage of hats at the store are baseball caps

Answers

Answer:

50 percent

Step-by-step explanation:

The golf team went to the Pizza Place to Celebrate their season. Each person ordered one slice of pizza,two breadsticks, and a drink. There are 9 people on the golf team. Qrite and simplify an algebraic expression using the Distributive property to represent the total cost for the team.​ ( I need help asap Thank you:) )

Answers

Answer:

Step-by-step explanation:

y = 9(P + 2B + D)

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