Two Parallel lines are intersected by a transversal /1 and /2 are alternate exterior angles. The measure of /1 is (5x - 16) the measure of /2 is (4x-2) what is the measure of each angle?
A.m/1=m/2=46
B.m/1=94 and m/2=86
C.m/1=m/2=54
D.m/1=m/2=70

Answers

Answer 1

Answer:

C. m/1=m/2=54

Step-by-step explanation:

these two angles are equal hence:

5x-16=4x-2=-16+2 =-14

4x-5x=-x

-x=-14=x=14

then you substitute the value of 'x' with 14

therefore:(5×14-16)=54

(4×14-2)=54

m/1=m/2=54


Related Questions

f(x) = 15% for x = 3

Answers

i believe it would be .15

Jackson has 2,000 baseball cards Gabe has 1/10 as many as Gabe how many baseball cards does Gabe have in his collection

Answers

Answer:

200 baseball cards

Step-by-step explanation:

We write the expression:

2000 x 1/10 =

200

The table below shows the typical hours worked by employees at a company. A new employee is offered an annual salary of $37,000. Hourly employees get paid $14 per hour, but get $21 per hour for each hour over 40 hours. Should the new employee choose the salaried or hourly pay? Explain your reasoning.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8.5
9.5
7.5
8
8.5
4

Answers

The new employee should select the salary pay because a $37,000 yearly income is more than a $35,672 hourly wage.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The table below shows the typical hours worked by employees at a company.

Based on the data given:

Total number of hours = 0+ 8.5 + 9.5 + 7.5 + 8 + 8.5 + 4

Total number of hours = 46

Hourly pay = (40×$14) + (6×$21)

Hourly pay = $686 per week

Annual earnings = 52×686

Annual earnings = $35,672

The new employee should select the salary pay based on the calculations above since a $37,000 yearly income is more than a $35,672 hourly wage.

Thus, the new employee should select the salary pay because a $37,000 yearly income is more than a $35,672 hourly wage.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Which descriptions of a histogram are true? Check all that apply..
A peak is a bar that is lower than the other bars around it.
A peak is where the frequency is lowest.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is clustered toward the right side.
If the graph is symmetrical, the data is evenly distributed.

Answers

Answer:

A peak is where the frequency is the highest.

A cluster is a group of bars, meaning the frequency is higher in these intervals.

A peak is a bar that is higher than the other bars around it.

Intervals on a histogram where there are no bars mean the frequency is 0.

If the graph is symmetrical, the data is evenly distributed.

Step-by-step explanation:

The correct statement about histogram is as follows;

A peak is where the frequency is the highest.

A cluster is a group of bars, meaning the frequency is higher in these intervals.

A peak is a bar that is higher than the other bars around it.

Intervals on a histogram where there are no bars mean the frequency is 0.

If the graph is symmetrical, the data is evenly distributed.

We have to determine, which descriptions of a histogram are true?

According to the question,

A histogram meaning can be stated as a graphical representation that condenses a data series into an easy interpretation of numerical data by grouping them into logical ranges of different heights which are also known as bins.

Characteristics of a Histogram are as follows;

A histogram is used to display continuous data in a categorical form.  

In a histogram, there are no gaps between the bars, unlike a bar graph.  

The width of the bins is equal.

A histogram is a type of representation of a data set where bars are used to represent the frequencies.

The area of these bars is said to be proportional to the frequency of the variable.

The peak of a histogram represents the highest value of frequency. Also, the peak is a bar that is higher than the other bars around it.

In a histogram intervals wherein bars cannot be seen would represent the frequency of that would zero.

Also, if the histogram is said to be symmetrical, then the data should be distributed evenly.

A peak is where the frequency is the highest.

A cluster is a group of bars, meaning the frequency is higher in these intervals.

For more details refer to the link given below.

https://brainly.com/question/9298915

Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165​

Answers

Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165​

Step-by-step explanation:  sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .

Find the LCM of the set of numbers 4 5 6

Answers

Answer:

C dont trust me wait for someone else to anser

Step-by-step explanation:

if f(x)=x²+3x+5 what is f(a+h)

A) a²+2ah+h²+3a+3h+5
B) h²+3a+3h+5
C) (a+h)²+3(a+h)+5(a+h)
D) (x²+3ax+5)(a+h)

99 points and votes the brainiest

Answers

I think the answers c I hope

The point P(-2, - 5) is rotated 90° about the origin, and then the image is reflected across the line
x= 3. What are the coordinates of the final image p’’?

Answers

Given:

The point P(-2, - 5) is rotated 90° about the origin, and then the image is reflected across the line  x= 3.

To find:

The the coordinates of the final image P’’.

Solution:

The point P(-2, - 5) is rotated 90° about the origin. It means the point is rotated 90° counter clockwise about the origin

[tex](x,y)\to (-y,x)[/tex]

[tex]P(-2,-5)\to P'(-(-5),(-2))[/tex]

[tex]P(-2,-5)\to P'(5,-2)[/tex]

Then the image is reflected across the line  x= 3.

[tex](x,y)\to (-x+6,y)[/tex]

[tex]P'(5,-2)\to P''(-5+6,-2)[/tex]

[tex]P'(5,-2)\to P''(1,-2)[/tex]

Therefore, the \coordinates of the final image P'' are (1,-2).

what equation represents the road that passes through the point shown and is perpendicular to the road represented by the red line

Answers

Answer: The equation that represents the road is y= - 1/3x +1/3

Step-by-step explanation:

The perpendicular equation that represents the road that passes through the point is [tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]

The points of the red line (see attachment) are given as:

[tex]\mathbf{(x,y) = (0,2), (2,8)}[/tex]

Start by calculating the slope (m) of the line using:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{8 - 2}{2 -0}}[/tex]

[tex]\mathbf{m = \frac{6}{2}}[/tex]

[tex]\mathbf{m = 3}[/tex]

Next, calculate the slope (m2) of the perpendicular line using:

[tex]\mathbf{m_2 = -\frac 1m}[/tex]

So, we have:

[tex]\mathbf{m_2 = -\frac 13}[/tex]

The perpendicular line passes through point (1,0).

So, the line equation is calculated using:

[tex]\mathbf{y = m_2(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = -\frac 13(x - 1) + 0}[/tex]

[tex]\mathbf{y = -\frac 13(x - 1) }[/tex]

Open bracket

[tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]

Hence, the line equation is [tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]

Read more about perpendicular equations at:

https://brainly.com/question/21740769

If Amy bought $113 worth of
groceries and paid $7.91 in taxes,
what was the percent tax?​

Answers

Answer:

stupid noob

Step-by-step explanation:

Uhm, if the tax is 7.91, then the fraction would be 791/100. If we make that into a percentage, it becomes 791%.

But I have no brain so I don’t think it’s right;-;

Evaluate
3x (x + 2) – 3x? for x = 19

Answers

Answer:

1140

Step-by-step explanation:

3x(x + 2) - 3x

x = 19

3 * 19( 19 + 2) - 3 * 19

3 * 19(21) - 3 * 19

3 * 19 = 57

57(21) - 3 * 19

57 * 21 = 1197

1197 - 57

1140

Hope this helped!

Use the given information to find the measure.

Answers

Answer:

From the image, we can see that ∠AOC = ∠AOB + ∠BOC

We are given the following values:

∠AOC = 104

∠AOB = 7x + 30

∠BOC = 9x + 42

Plugging these values in the equation above:

∠AOC = ∠AOB + ∠BOC

104 = 7x + 30 + 9x + 42

104 = 16x + 72

16x = 32

x = 2

Now that we have the value of x, we can easily find the value of ∠BOC

We are given that:

BOC = 9x + 42

∠BOC = 9(2) + 42           (since x = 2)

∠BOC = 18 + 42

∠BOC = 60°

Therefore, ∠BOC is 60 degrees

-2 (3a – 2) = 1/3(7 – 3a)

Answers

Answer:

i have no idea. But i will answer because i'm still learning.

Step-by-step explanation:

-2 (3a – 2) = 1/3(7 – 3a)

is whats the question

ok its i'm guessing      -2 (3a – 2) = 1/3(7 – 3a)

-2.15384615385

                         Hope this helps    ;)

Need help ASAP!If you don’t mind

Answers

Answer:

each green line is 45 degrees

Step-by-step explanation:

Answer:

first box should be EAF then next FAL and the last would be ray AL and its a ray because it has one endpoint which is A.

Step-by-step explanation:

If CD = 8 and BD = 11, what is BC?

Answers

It will be 3, you just subtract 11 to 8 you’ll get BC

Which of these graphs below represents a function?

Answers

Answer:

the one you've selected pink, (the one that looks like a U)

Step-by-step explanation:

if you can pass a vertical line through a supposed function and have it only cross once, it's a function.

What is the value of x in the equation 2x – 3 = 9- 4x?
0 -6
O-3
O 1
o 2

Answers

1 is your answer. subtract 2 from -4 which is -6. since you have to do the same to both sides then 2-2=0. now your equation is -3=9-6x. -3+9=6. 6=6x is 1

Answer:

x = 2

Step-by-step explanation:

2x - 3 = 9 - 4x

6x - 3 = 9 (added 4x to both sides)

6x = 12 (added 3 to both sides)

x = 2 (divided 12 by 6)

hope this helps :)

65 is 13% of what number?​

Answers

The answer is 500
X/13%

4= Sx+10/2

that’s a fraction btw

Answers

Answer:

4= Sx+10/2 simplifies to -s*x-1=0

Step-by-step explanation:

The graph below represents the volume of water in Susan's watering can while
she waters her plants.
Water in Watering Can (liters)
2.
X
0
1 2. 3 4
Minutes Spent Watering Plants
How much water is in Susan's watering can when she starts watering her plants?
A.1.8
B.3.0
C.3.7
D.5.5

Answers

is this angilic from vista hills and dessert view if so this is josh a

Answer:

5.5 liters hope this works for u

Step-by-step explanation:

If the radius of a melting snowball decreases at a rate of 5 ins/min, find the rate at which the volume is decreasing when the snowball has diameter 4 inches

Answers

Answer:

The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.

Step-by-step explanation:

Let suppose that snowball geometry correspond to a sphere. In this case, the volume of the sphere is:

[tex]V = \frac{4\pi}{3}\cdot R^{3}[/tex] (Eq. 1)

Where:

[tex]R[/tex] - Radius of the sphere, measured in inches.

[tex]V[/tex] - Volume of the sphere, measured in cubic inches.

We know that volume decreases due to melting, so we need an expression of the rate of change of volume in time. By differentiating (Eq. 1) we get:

[tex]\frac{dV}{dt} = 4\pi\cdot R^{2}\cdot \frac{dr}{dt}[/tex] (Eq. 2)

Where:

[tex]\frac{dV}{dt}[/tex] - Rate of change of the volume of the snowball in time, measured in cubic inches per minute.

[tex]\frac{dr}{dt}[/tex] - Rate of change of radius of the snowball in time, measured in inches per minute.

If we know that [tex]R = 2\,in[/tex] and [tex]\frac{dr}{dt} = -5\,\frac{in}{min}[/tex], the rate at which the volume of the snowball is decreasing is:

[tex]\frac{dV}{dt} = 4\pi\cdot (2\,in)^{2}\cdot \left(-5\,\frac{in}{min} \right)[/tex]

[tex]\frac{dV}{dt}\approx -251.327\,\frac{in^{3}}{min}[/tex]

The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.

Suppose​ a, b, and c are all negative numbers. How do you find the distance between the points​ (a,b) and​ (a,c)?

Answers

add the (a,b) and then add (a,c). Find out the number between these two after being added

1. Jack and Jill both begin working new jobs for the summer. Jack is offered $18 per hour and will also be given $699 up front for accepting the job. Jill is offered $20 per hour for her work, with no up front bonus. After how many hours of work will Jack and Jill have earned the same (or equal) amount of money?

Answers

Answer:

BRuh

Step-by-step explanation:

Girl my math skills are no where near subpar to that. Good luck!

Answer:

I think the answer is 35 hours to get the same amount of money

A candy company used 18 pints of chocolate to make 3 boxes of candy. What is the rate of chocolate per box?

Answers

Answer:

6 chocolates per box.

Step-by-step explanation:

How do you do this question?

Answers

Answer:

18π

Step-by-step explanation:

Arc length for a parametric equation is:

s = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt

dx/dt = -9 sin(9t)

dy/dt = 9 cos(9t)

s = ∫₀²ᵖⁱ √((-9 sin(9t))² + (9 cos(9t))²) dt

s = ∫₀²ᵖⁱ √(81 sin²(9t) + 81 cos²(9t)) dt

s = ∫₀²ᵖⁱ 9 dt

s = 9t |₀²ᵖⁱ

s = 18π

You can check your answer with geometry.  The curve is a circle centered at the origin with radius 1.  From 0 to 2π, the particle makes 9 revolutions, or travels 18π radians.  So the arc length is 1 × 18π = 18π.

Answer:

18π

Step-by-step explanation:

If the length of AC equals 18, what is the length of the midsection DE

Answers

Answer:

The length of the midsegment is 9 ⇒ (B)

Step-by-step explanation:

In a triangle,

The midsegment is the segment which joining the midpoints of two opposite sides of itThe length of the midsegment is half the length of the third side in the triangle which opposite to it

Let us use this rule to solve our question

In Δ AC

∵ DE is the midsegment of it

∵ DE is opposite to the side AC

∴ The length of DE = 1/2 the length of AC

∵ The length of AC = 18

∴ The length of DE = 1/2 × 18

∴ The length of DE = 9

The length of the midsegment is 9

The correct answer is B

solve x^2-12x+36=44 by factoring!!
please help asap with work shown :)

Answers

x^2 - 12x + 36 is a perfect square trinomial and can be written as (x-6)(x-6).

(x - 6)^2 = 44.

Take the square root of both sides to get...

x - 6 = ±√44 (Always make the square root + or - when you square root)

Add 6 to both sides...

x = √44 + 6

x = -√44 + 6

These are the 2 values of x.

You can also write it to be -0.633 and 12.633. (Once you round.)

the ratio of girls to boys in a bicycling club was 3:6. There were 18 girls. How many boys were in the club?​

Answers

Answer:

36 boys

Step-by-step explanation:

Please help me please

Answers

Answer:

Alternate Interior Angles Theory

Step-by-step explanation:

Any number inside the angle is known as an Alternate Interior Angle.

Need Help ASAP please‼️

Answers

Answer:

i cant see

Step-by-step explanation:

make a more clear pic

Other Questions
If Kareems living room has an area of 225 square feet, how much will he spend to carpet his living room? What are the three largest countries that border Russia to the South? Martha bought a six pack of soda on Thursday. She promised her neighbor, Mr. Jimmy, that she would save the cans for him. What are they doing to help our ecosystem? -8 to the power of 2 minus -32 Jose is researching the civil rights movement of the 1960s to write a report on key leaders of the movement. He reads the transcript of an interview with Bayard Rustin, the man who organized the March on Washington where Martin Luther King Jr. gave his "I Have a Dream speech. Use the drop-down menus to answer the questions. Is the interview transcript a primary or secondary source? Is the interview transcript a credible or not credible source for Joses purpose? What kind of information could Jose get from this source? what era was king George III IN Which of the following is not a central theme of biology? Determine what kind of variation is related to the following trait: Skin color. A. Only Environmental variation B. Only Genetics C. Neither D. Both Genetics and the Environment Can someone answer this A molecular compound is? explain the reasons behind james madisons bill of rights Which of the following is a heterogeneous mixture Name each polygon by its number of sides and then classify it as convex orconcave and regular or irregular.1.2.3. HELPPP PLEASEE ????? Pls answer! 30 points and brainliest for the correct answer! In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and the passive approach. For 1160 customers, the following record was kept: Sale No Sale Row Total Aggressive 255 325 580 Passive 472 108 580 Column Total 727 433 1160 Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A = aggressive approach, Pa-passive approach, S-sale, N = no sale. So, P(A) is the probability that an aggressive approach was used, and so on.A) Compute P(S), P(S | A), and P(S | Pa). B) Are the events S-sale and Pa-passive approach independent? Explain.A. Yes. P(S) P(S | Pa).B. Yes. The two events can occur together. C. No. The two events cannot occur together.D. No. P(S)-P(s i Pa).C) Compute P(A and S) and P(Pa and S). D) Compute P(N) and P(N/A). E) Compute P(A or S). 1. En 1492, _____ Cristbal Coln llega a Guanahan.la carabelael almiranteel fuerteel ave2. El objetivo de Cristbal Coln al salir del Puerto de Palos es llegar a la Repblica Dominicana.TrueFalse3. Cuando llega a las Indias Occidentales, Coln construy ______ Navidad.la vueltael fuertela palmerala carabela4. Los productos tpicos representan a un pas o regin. Por ejemplo, el caf representa a Colombia y el vino representa a Espaa.TrueFalse5. Los mayas usan ______ en su sistema matemtico.chocloejrcitosglifosman6. Alberto y Lilian ___ a subir al Machu Picchu. (ir)La Serpiente Emplumada ___ el dios Quetzalcatl. (ser)Yo ___ el cultivo de maz en el batey. (poner)Todos los sbados, yo ___ artesanas de barro. (hacer)7. Hernn Corts ____ conquistar todo el territorio de Mxico. (querer)Los tanos no ____ hablar espaol hasta la llegada de Coln. (poder)Los gauchos argentinos ____ carne de res en todos los almuerzos. (servir)Sara ____ la mantequilla de man y le encanta. (probar)8. El maestro de espaol ____ que sus estudiantes son muy inteligentes. (decir)Lito y Ciro ____ un gran amor por las artesanas incas. (tener)T ____ a Guatemala conmigo, no? (venir)No me gusta el clima fro. Hoy ____ para un lugar ms clido. (salir)9. Turistas de todo el mundo llegan a Iguaz porque esas gigantes ______ de agua son maravillosas.alasminascadascras10. In the space provided, write a brief paragraph in Spanish to respond to the following.En un prrafo breve, explica la llegada de los espaoles a las Indias Occidentales y la reaccin de los indgenas.11. Yo ___ (deber) visitar las ruinas de Tikal.T ___ (tener que) subir a la pirmide de Chichn-Itz.Enrique ___ (deber) estar en busca de un glifo misterioso.Marco y yo ___ (tener que) preparar atole para esta noche.12. Los aztecas piensan que Corts es un dios porque tiene vestimenta rara y ______.barbaasentamientonivelchoclo Why should the number of classes in a frequency distribution be between 5 and 20? What does the Rational Root Theorem and Descartes' Rule of Signs indicate about the zeros of a polynomial function? #1.) What is the slope between point C and Point D? *Please Show All Work*#2.) What is the equation of the line (Slope-Intercept Form: y = mx + b) that represents the climb from Point C to Point D? *Please Show All Work*#3.) What is the domain and range the C to D part of the roller coaster?