Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Two Parallel Lines Are Cut By A Transversal, As Shown Below. Solve For B. Then Explain Your Reasoning.

Answers

Answer 1

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

Answer 2

In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:

[tex]b=14[/tex]

What is a parallel line?

They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.

With this information we can solve this exercise as:

[tex]5b=b+56\\4b=56\\b=14[/tex]

See more about parallel lines at brainly.com/question/16701300


Related Questions

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Answers

The correct comparison as shown in the figures are:

QR < QSAB >  CDm<FJG > m<HJGm<QSP > m<QSR

From the given diagram, we are to fill in the blank spaces with a < or > symbol.

21) The measure of the angles is a function of the measure of the sides.

Since the angle facing the side QR is less than that of QS, hence QR < QS

22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB >  CD

23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG

24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR

Learn more on angles here: https://brainly.com/question/16281260

WILL GIVE BRAINLIEST

Answers

Answer:

its the 2nd and the 6th one

Step-by-step explanation:

Find the inverse of the matrix A=

[4 -5]
[-7 9]

Answers

Answer:

hope this answer is right 71/45

I REALLY NEED HELP WITH QUESTION!! URGENTLY!! ANYONE WHO'S GOOD AT MATHS ​

Answers

Check the picture below.

there are a few angles shaded, I'll call that angle at O ∡O, and that angle at "x" ∡x and the green angle at A, ∡A, and the angle at B, ∡B, just so you know which angle we're referring to.

well, first off let's notice that B and C are points of tangency, meaning we get right-angles as you see in the picture, if we run an angle bisector from ∡x, towards point O, we get two congruent triangles, lemme shorten that up some, 90 + 90 + ∡O +∡x = 360, which means that ∡O + ∡x = 180,  meaning that ∡O = 180 - ∡x, if that's so, the angle at point O across the shade, is 360 - ∡O or 360 - (180 - ∡x).

alrighty, by the inscribed angle theorem, ∡A is half of ∡O.

let's now focus on the triangle AOB, we'll be using half of ∡A and half of ∡O and ∡B on that triangle, let's proceed.

[tex]\measuredangle x + \measuredangle O=180\implies \measuredangle O=180-\measuredangle x \\\\\\ \measuredangle A = \cfrac{\measuredangle O}{2}\implies \measuredangle A = \cfrac{180-\measuredangle x}{2} \\\\\\ \stackrel{\textit{the angle across from }\measuredangle O~is}{360-\measuredangle O}\implies 360-(180 - \measuredangle x)\implies 180+\measuredangle x \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\large the sum of all three angles at }\triangle AOB}{\stackrel{\textit{half of }\measuredangle A}{\cfrac{1}{2}\cdot \cfrac{180-\measuredangle x}{2}}~~ + ~~\stackrel{\textit{half the angle across from }\measuredangle O}{\cfrac{180+\measuredangle x}{2}}~~ +~~\measuredangle B~~ =~~180} \\\\\\ \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B = 180[/tex]

now, let's multiply both sides by the LCD of all denominators, hmmmm in this case that'll be 4, so multiplying both sides by the LCD will do away with the denominators, so let's do so.

[tex]4\left( \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B \right) = 4(180) \\\\\\ (180-\measuredangle x)+2(180+\measuredangle x)+4\measuredangle B = 720 \\\\\\ (180-\measuredangle x)+(360+2\measuredangle x)+4\measuredangle B = 720\implies 540+\measuredangle x+4\measuredangle B = 720[/tex]

[tex]\measuredangle x+4\measuredangle B = 180\implies 4\measuredangle B = 180-\measuredangle x\implies \measuredangle B = \cfrac{180-\measuredangle x}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \measuredangle B = 45 - \cfrac{\measuredangle x}{4}~\hfill[/tex]

Pls help! The question is: You are riding a bike up Elm Trail towards Deer trail. You plan to make a left turn on to Deer trail. What is the angle measure of the turn?

Answers

Answer:

110

Step-by-step explanation:

there is a angle of 70 in the other side is there is a total of 180 and subtract 70 you get 110

Answer:

110

Step-by-step explanation:


A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=-\frac{5}{4} x+2.[/tex]

Step-by-step explanation:

1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;

2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;

3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':

7= -5/4*(-4)+i; ⇒i=2, then

[tex]4) \ finally, \ y=-\frac{5}{4}x+2.[/tex]

Given ALMN * AQRS, MZM = 26°, and m2Q = 58°, what is the measure of 2S?
96°
26°
58°

Answers

Answer:

  96°

Step-by-step explanation:

We assume you intend ...

  ΔLMN ~ ΔQRS

Then corresponding angles have the same measure:

  ∠M = ∠R = 26°

  ∠L = ∠Q = 58°

  ∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°

The measure of angle S is 96°.

sonya has 12 cup box of ceral she wants to pour the cereal into small 1/4 cup snake how many bags of cereal will she have

a- 48
b-36
c- 24
d- 12/48
e-3​

Answers

Answer:

a - 48

Step-by-step explanation:

12 cups are divided into 1/4 cup bags.

Converting 12 into a fraction, you get:

12/1 divided by 1/4.

When we divide fractions, we flip the second fraction and change the operation to multiplication.

12/1 * 4/1.

Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.

12 * 4 = 48.

x+18-3x=20 help me out

Answers

the bbc lenth is 19 which i like in my mouth an deven my throayt

Which angle is this could u plz tell​

Answers

Step-by-step explanation:

please, this is so easy !

so, please, burn this into your brain forever : the sum of all angles in a triangle is always (really, always) 180°.

so,

180 = 25 + 100 + A

A = 55°

ΔABC has: ∠CAB + ∠ABC + ∠ACB = 180°

so:  ∠CAB = 180° - ∠ABC - ∠ACB = 180° - 100° - 25° = 55°

ANSWER: ∠CAB = 55°

ok done. Thank to me :>

A ladder that is 17 feet in length is resting on a branch of a tree and the base of the ladder is 8 feet from the tree on the level ground how high up is the branch on which the latter is resting

Answers

Answer:

9 feet

Step-by-step explanation:

eight and one six minus 7 and three forths

Answers

Answer:

5/12

Have a good day!

Choose all the numbers that make the comparison true.
42 > __
A, 22
B, 64
C, 41
D,40
E, 40

Answers

Answer:

22, 40, 40, and 41

Step-by-step explanation:

happy to help have a nice day

HURRY!!! Please?? 12 POINTS

Answers

The answer for this question is c

A line with a slope of 2 passes through the point (6,4). What is its equation in
slope-intercept form?

Answers

Answer:

y=2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-6)

y=2x-12+4

y=2x-8

The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.

Answers

Answer:

14r

Step-by-step explanation:

since there are 14 members and each sold r tickets r x 14 which is 14r

What is social stratification?

A. Studying a person's ancestors to learn more about his or her

status

B. Ranking people based on factors such as gender, wealth, and

occupation

C. Expecting women to be responsible for nurturing families and

caring for homes

D. Displaying expensive material objects to demonstrate one's status

Answers

Answer:

The answer is B

Step-by-step explanation

It's a system ranking people in a hierarchy

A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometres per hour. How long will it take for the ambulance to pass the police car?

Answers

It will take 2 hours for the ambulance to pass the police car.

Given that a police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour, and an ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour, to determine how long will it take for the ambulance to pass the police car, the following calculation must be performed:

72 x 0.25 = 18 81 - 72 = 9 18/9 = 2 72 x 0.25 + 72 x 2 = 162 81 x 2 = 162

Therefore, it will take 2 hours for the ambulance to pass the police car.

Learn more about maths in https://brainly.com/question/25818763

Help help math math math

Answers

Answer:

Yes, this is a function

Step-by-step explanation:

You know this because it passes the vertical line test.

I hope this helps!

Answer:

Function

Step-by-step explanation:

Solve −x−6≥−5 or −2x−5>4 and write the solution in interval notation. Note: Use improper fractions, if necessary.

Answers

Answer:

(-∞, -1]

Step-by-step explanation:

−x−6≥−5

-x≥1

x≤-1

−2x−5>4

-2x>9

x<-9/2

So x < -9/2 V x ≤ -1

Answer:

(−∞,∞)

Step-by-step explanation:

5x - 4 ≤ - 3

5x ≤ 1

x ≤ [tex]\frac{1}{5}[/tex]

4x + 6 > 0

4x > - 6

x > - [tex]\frac{3}{2}[/tex]

A local flower shop sells a dozen roses for $15.48 if each rose cost the same price how much would It cost per rose

Answers

one rose would cost $1.29

There are 300 students in the 6th grade class. 252 of the students have received dragon
tickets. What is this as a percent?

Answers

The percentage of students in the 6th grade class that have received dragon  tickets is 84%.

Given the following data:

Total number of students = 300 studentsNumber of students with dragon tickets = 252 students

To determine the percentage of students in the 6th grade class that have received dragon  tickets:

A percentage is used to describe or represent a portion of a given population or total number of something.

Mathematically, the percentage for the given number of students is:

[tex]D = \frac{Students}{Total\;students} \times 100\\\\D = \frac{252}{300} \times 100\\\\D=0.84\times 100[/tex]

D = 84%

Read more on percentage here: https://brainly.com/question/14432715

What is the surface area of a cylinder if the radius is 2.5 inches and the height is 5 inches?

Answers

Answer:

A≈117.81 square inches

Step-by-step explanation:

just plug it in formula.

Answer:

117.8 inches

Step-by-step explanation:

A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.

Answers

Answer:

ok first we round them both

386230 is rounded to 386k

59250 is rounded to 59 k

386+59=445

445,000

Hope This Helps!!!

Can someone help me out? Will mark brainiest

Answers

Ok done. Thank to me :>

Help me pleaseeeeeeeeeee

Answers

Carry learning!

Stay safe!


A choir teacher is dividing 48 sopranos and 32 altos into singing groups. He wants each
group to have the same combination of sopranos and altos, with no singers left over. What is
the area

Answers

Answer:

32

Step-by-step explanation:

x(48 - 2x) = 32

Hope it helps.

y = 7x
-14x + 2y = 0

The answer is no solution but please help with showing the work I’m stuck with it.

Answers

Answer:

-14x+2(7x)=0

-14×+14×=0

0=0

Ex: x = 3 => 0 . 3 = 0, y= 7 . 3 =21
x = 5 => 0 . 5 = 0, y= 7 . 5 =35.....
Ok done. Thank to me :>

Trey bought a football on sale for 15% off of $45. Evan bought the same football at a different store for 25% off of $54. Who received the better deal? Explain.

a. How much did Trey spend on a football?

b. How much did Evan spend on a football?

c.
Who got the better deal?

Answers

Answer:

a. $38.25, b.$40.5, c. Trey

Step-by-step explanation:

A percentage can also be represented as a proportion out of 1; for example, 30 percent is .30, and 100 percent will be 1.00.

a. If Trey is paying 15 percent off a price, that means he is still paying 85 percent, and recall what I said earlier, about 85 percent is a .85 proportion. So now we multiply the price by the proportion he is paying .85*45 = $38.25

b. We want to do the same process we did in part a. So we have 1 - .25 =.75 to get the proportion of the original price Evan will be paying. Now we multiply .75*54 = $40.50.

c. Trey got the better deal because he ended up paying less; hence $38.25 is less than that of $40.50

Help help math math math math

Answers

y=2/1+7 is the answer because it’s a positive slope and i you go up by 2 spaces first then to the right by 1

Answer:

y=2/1+7

Step-by-step explanation:

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