Lines x and y are parallel. Write an equation that represents the relationship between b and e. Explain how you know this equation is always true. Your explanation should use AT LEAST TWO of the following terms: vertical angles, corresponding angles, congruent, supplementary.

please help

Lines X And Y Are Parallel. Write An Equation That Represents The Relationship Between B And E. Explain

Answers

Answer 1

Answer:

m∠b + m∠e = 180°

Step-by-step explanation:

Lines x and y are the parallel lines and a transversal line is intersecting these lines.

∠b ≅ ∠h [Vertical angles]

∠h ≅ ∠f [Corresponding angles]

Therefore, ∠b ≅ ∠f [Congruent angles]

m∠f + m∠e = 180° [Supplementary angles]

m∠b + m∠e = 180° [Since, ∠b ≅ ∠f]

Therefore, equation representing the relation between ∠b and ∠e is,

m∠b + m∠e = 180°

Answer 2

The required equation that represents the relationship between b and e is m<b + m<e = 180

From the given diagram, we can see that the line x and y are cut by a transversal. This shows that the following statements are true;

m<b and m<g are supplementary i.e m<b + m<g = 180

Also m<b and m<f are equal (alternate interior angle)

m<b = m<d (vertically opposite angle)

Also, since m<d and m<e are supplementary angles (angle on a straight line), then m<b and m<e are also supplementary

Hence the required equation that represents the relationship between b and e is m<b + m<e = 180

Learn more here: https://brainly.com/question/22309882


Related Questions

someone help me with this answer please!!!

Answers

Answer:

C

Step-by-step explanation:

Both AB and AC have the length of 8, meaning that they're congruent.

This means that we have an isosceles triangle.

Angle B and Angle C are equal and all angles in a triangles add up to 180 degrees so:

30 + 30 = 60

180 - 60 = 120

So C would be your answer.

Please let me know if I'm incorrect :)

Answer:

120°

Step-by-step explanation:

This is an Isosceles triangle and that means angle C = angle B

Since the sum of interior angles in a triangle is equal to 180° the measure of angle A is = 120°

f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range: ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

f(x) = -x^2 + 10x - 17

Convert to vertex form by:

f(x) = -(x^2 - 10x) - 17

= - [(x - 5)^2 - 25] - 17

= -(x - 5)^2 + 25 - 17

=  -(x - 5)^2 + 8,

a. So axis of symmetry is x = 5.

b. Vertex is (5, 8) Max.

c.   Domain is All real x.

d. Range is (-∞, 8].

What is the prime factorization of 135?

3 × 53
33 × 5
32 × 52
3 × 5 × 9

Answers

Answer:

3 x3 x 3 x 5

Step-by-step explanation:

Answer:

135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

Step-by-step explanation:

If 132 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.25 and total receipts for the concert was $384, how many of each went to the concert?

Answers

Answer

i'm pretty sure 64 people attended the concert.

Step-by-step explanation:

Tell me if this helped or not.

Find the product. (x+4) (x -6)

Answers

Answer:

x^2-2x-24

Step-by-step explanation:

PLEASE HELP IM BEING TIMED!!

Then DS+ST=DT what is the property?

Options: A. Commen Sense
B. Substitution
C. Segment Addition
D. The Given

Answers

The answer should be C. Segment addition

Answer:

hope you have a good day it is cccccccc

Can someone tell me if idid this right i’m confused.

Answers

no u didn’t, the line is wrong. from the point -1 it should intercept (-2,-4) and (2,2)
Yes but the point for x should be a little closer to the one but not on it if that makes sense. If it doesn’t than I’d say that yup it’s correct.

what equation is equivalent to x + 5 =12

Answers

Answer:

x=7

Step-by-step explanation:

subtract 5 from both sides

5-12= 7

so x=7

X=7 is the correct answer here bro

What is the slope of this line?
Give your answer as a fraction in simplest terms.

Answers

Answer:

1/4 is the answer for this because the slope is 1 and 4 so this means it is going up at a 1/4 slope.

Answer:

The slope = 1/4

One architect designed 30 houses on Lackey Avenue, which is 60% of all the houses on that avenue. How many total houses are there on Lackey Avenue?

Answers

Answer: 50 houses

Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.

Twenty-seven is smaller than five times a number increased by seven.

Answers

Answer:

4

Step-by-step explanation:

4=x

5x+7 =27

27=27

:(((

What is 108, 200, 000 in scientific notation?

Answers

I believe that it’s 1.082 * 10^8

Plz help me quickly

Answers

Answer:

0

Step-by-step explanation:

according to what is given:

K = 0

N = 3

I = -2

so just substitute in these values into the given equations and solve

KN + IK

0 * 3 + -2 * 0

= 0 + 0

= 0

evaluate....
shafheahyfbejik5ewhdsa

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

DUE SOON PLZ HELP ME WILL GIVE BRAINLEST
What is the slope of the line that passes through the points (9, -1)(9,−1) and (4, -11) ?(4,−11)?
Write your answer in simplest form.

Answers

Answer:

2=the slope

Step-by-step explanation:

I used my graphing calculator.

PLZ HELP ME ASAP! ITS DUE TODAY!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!! What are the new vertices for A, B and C?

Answers

Answer:

A'(1,1) , B'(5,3), C'(2,5)

Explanation:

when you reflect anything over the line y = x, that is the same thing as taking the inverse(you swap the x and y values)

how to multiply rational expressions?
pls help me...

Answers

Point :

A × B = B × A

Ex)

[tex] \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{2} \times \frac{1}{4} [/tex]

_________________________________

a )

[tex] \frac{12 {a}^{2} }{25 {b}^{3} } \times \frac{5b}{4 {a}^{4} } = \frac{12 {a}^{2} }{4 {a}^{4} } \times \frac{5b}{25 {b}^{3} } = \\ [/tex]

[tex] \frac{4 {a}^{2} \times 3 }{4 {a}^{2} \times {a}^{2} } \times \frac{5b}{5b \times 5 {b}^{2} } = \\ [/tex]

[tex] \frac{3}{ {a}^{2} } \times \frac{1}{5 {b}^{2} } = \frac{3}{5 {a}^{2} {b}^{2} } \\ [/tex]

_________________________________

b )

[tex] \frac{ {x}^{2} - 2x - 15 }{ {x}^{2} - 9 } \times \frac{ {x}^{2 } - 6x + 9 }{4x - 12} = \\ [/tex]

[tex] \frac{(x - 5)(x + 3)}{(x - 3)(x + 3)} \times \frac{(x - 3)(x - 3) }{4(x - 3)} = \\ [/tex]

[tex] \frac{(x - 5)}{(x - 3)} \times \frac{(x - 3)}{4} = \\ [/tex]

[tex] \frac{(x - 3)(x - 5)}{(x - 3) \: \: \: \times \: \: 4} = \frac{x - 5}{4} \\ [/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Lin rode her bike 2 miles in 8 minutes. How many miles did she go in 4
minutes?

Answers

Answer:

1 mile: 4 minutes

Step-by-step explanation:

This problem can be expressed with a simple ratio: 2:8

Now, thankfully the numbers are even so we just need to simplify the ratio to get our answer. Ratios work like fractions in that manner. So we just need to divide both sides by 2 to get the _:4 result.

This gives us a ratio of 1:4. Therefore, Lin travelled 1 mile in 4 minutes.

[tex] \binom{lim}{x -> 0} \frac{ \sin^{2} (x) }{x} [/tex]
I looked up how to do this, but I just dont understand how the internet explains it, I need a step by step simple explanation on how to do it.​

Answers

Answer:

0

Step-by-step explanation:

To solve this without L'Hopital's rule, you need to use this identity:

lim(x→0) (sin x / x) = 1

lim(x→0) (sin²x / x)

lim(x→0) (sin x / x) (sin x)

lim(x→0) (sin x / x) · lim(x→0) (sin x)

1 · 0

0

Alternatively, since plugging in x=0 gets 0/0, we can use L'Hopital's rule.  Replace the numerator and denominator with their derivatives.

lim(x→0) (sin²x / x)

lim(x→0) (2 sin x cos x / 1)

0

Jesse is saving the money he earns in his piggybank. He had already earned
$60 from previous work. He charges $15 to mow one lawn. After mowing 4
lawns, how much total money will he have in his piggybank?

Answers

Answer:

Jesse will have $120.

Step-by-step explanation:

First you need to set up your equation. We know Jesse has $60 already and that he charges $15 per lawn. Your equation will look something like this:

15x+60=?

Then you plug in the 4 lawns he did:

15(4)+60=

Then you solve and get 120! :)

PS Parenthesis mean you are multiplying. Same thing as saying

15 x 4 + 60= 120

Pls help I didn’t get this one

Answers

Answer:

900

Step-by-step explanation:

( n − 2 ) × 180

n=sides

( 7-2)x180= 900

Your answer is 900, np!! Nice day btw :)))

Need help! Please!!

What is the solution to the following system of equations?


3x+2y=15

4x − 5y=−3


A (0.5, 1)

B (3, 3)

C (1, 5)

D) I don’t know

E (3, 2)

Answers

Answer: B (3,3)

Youre welcome

In scientific notation

Answers

The answer is 5 x 10*3

Which formula represents this sequence 2,8,14...?

Answers

Answer:

[tex]a_{n}[/tex] = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

[tex]a_{n}[/tex] = 6n - 4

5x-4y=10
Solve for y plz Help

Answers

y = -5/2 + 5x/4. at least that’s what i got
Ndhsba shskuva hatbeom wtbdjsob twvsko jags iwte kansg 2

Find the slope from point 0,0 to point 7,12



Slope = m = rise/run

=

y2​− y1​

x2​ − x1​​

Answers

The slope is 12/7. Take a look at the picture attached.

Order the numbers from least to greatest: 7, 18, 12, -16, -11, 1 *

Answers

Answer:

-16, -11, 1, 8, 12, 18

Answer:

-16,-11,1,7,12,18

Step-by-step explanation:

Negative numbers are smaller the farther away they are from zero. Positive numbers get bigger the farther away from zero they go.

Ryan buys 4 tacos for $5 and Maria buys 5 tacos for $8. Did they pay the same rate? Explain and show your reasoning? P.S im in a class right now so yeah.

Answers

Answer:

Step-by-step explanation: You must multuply the number of tacos by the money for all of them then you compare them and see if the see if they payed the same rate!P.S i'm in class too!!

Answer: They did not pay the same rate

Step-by-step explanation:

If they were to pay the same price the unit rate would be 1.25 but instead Ryan paid 1.25 for each taco and Maria paid 1.6 for each taco, which means they did not pay the same rate.

a women jumps 25 times in 10 seconds how many times will she jump in 30 seconds

Answers

answer:

75 times

explanation:

just add 25 per 10 seconds

Answer:

The correct answer is 75 jumps in 30 seconds.

Step-by-step explanation:

All you do is multiply 25x3=75. Because 3x10=30.

Two children are selling lemonade. They are charging $1 for a cup. They only sell 10
Number of cups
Number of
Number of cups
Number of cups
The graph that represents the given situation is
discrete or continuous

Answers

Answer:

you may be talking about this! the answer is (A) for this graph!

if not, let me know!

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