Attend to precision. Suppose that ∠1 and ∠2 are same-side interior angles formed by two parallel lines cut by a transversal, and that m∠1=7x-4 and m∠2=20x-5.

a.What is the value of x?

b.What is m∠1?

c.What is m∠2?

d.Explain how you found your answers.

Attend To Precision. Suppose That 1 And 2 Are Same-side Interior Angles Formed By Two Parallel Lines

Answers

Answer 1

9514 1404 393

Answer:

  a)  x = 7

  b)  m∠1 = 45°

  c)  m∠2 = 135°

Step-by-step explanation:

a) Same-side interior angles are supplementary, so we have ...

  ∠1 +∠2 = 180

  (7x -4) +(20x -5) = 180

  27x = 189

  x = 7

__

b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.

  m∠1 = 7x -4 = 7(7) -4 = 45

  m∠1 = 45°

__

c) Angle 2 is the supplement of angle 1, so ...

  m∠2 = 180° -45°

  m∠2 = 135°

__

d) We used the relationship of angles at a transversal and the properties of equality.


Related Questions

Tait earns $89,000 this year. He gets a cost of living raise to compensate for yearly inflation of 396. What will his raise be next year?

Answers

Step-by-step explanation:

His raise is 3% of 89.000

.03*89.000=$2.670

His new salary is ( to get the number you need to add 89.000+2.670={$91.67})

                                 

Tait's raise in the coming year will be $2,670

Question meant to say that the inflation is 3%.

Inflation refers to the general rise in the price of goods and services in a country. It therefore makes a currency weaker because that currency will only be able to buy less than it could before.

The raise will have to be 3% as well to ensure that inflation does not affect Tait

The raise is based on his salary so can be found by:

= Amount Tait earns x Inflation rate

= 89,000 x 3%

= $2,670

In conclusion, the raise is $2,670

Find out more at https://brainly.com/question/1234186.

ngl i kinda wanna boo anyone down :)

Answers

Answer:yo it’s me leo remember me my acount got deleted

Step-by-step explanation:

simplify : 3ac + 5ab – 4ab + ac + 8bc

Answers

Answer:

4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd

Find the number if 12/13 of it is 24 plz help

Answers

Step-by-step explanation:

12/13 of a number = 24

13/13 of a number = 24 * (13/12) = 26

Hence the number is 26.

Answer:

26

Step-by-step explanation:

Let n be the number. Then:

12n/13=24

n=13/12 x 24

  =26 ..............

The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 30 gallons.

Answers

Answer:

ok so firstly you need a graph to decipher what the answer will be

Step-by-step explanation:

So due to that error i am unable to complete the problem because you did not provide enough information

Duela de 1a 1 1/2 x 10 x 3, $ 120.00 m2

Answers

¡Hola!

¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?

Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:

1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.

2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.

3. 1, puede hacer referencia a una unidad.

4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.

5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.

Entonces podemos organizar todo esto:

Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.

¡Espero haber ayudado!

(06.01)
What is the value of the expression 62 +33? Someone HELP meee

Answers

Answer:

21

Step-by-step explanation:

Trust me its correct

Mark me brainliest

Question 3 (Fill-In-The-Blank Worth 2 points)

(06.01)

What is the value of the expression 62 + 33?

Numerical Answers Expected!

Answer for Blank 1:

21

Answer:

95.

Step-by-step explanation:

62 + 33 do 60+30 then add 5

solve the system of function by graphing. Then classify the system.
f(x) = x + 4
g(x) = -5x + 10​

Answers

Use the execution method or in other words use the substitute method and go from there..

Answer:

Step-by-step explanation:

question down below thanks

Answers

6(x-1)-4x= 2(3x-5)

Expand brackets

6x-6-4x=6x-10

Collect like terms 2x-6=6x-10

Move all terms to the left side

2x-6-6x+10=0

Collect like terms

-4x+4=0

Move +4 to the other side as a negative number


-4x=-4

Divide both sides by -4

Therefore, x is equal to 1

please help!!!! find x and y

Answers

9514 1404 393

Answer:

  (x, y) = (10, 2)

Step-by-step explanation:

The upper angle marked with an expression in x and y is supplementary to the angle marked 70°. The lower angle marked with an expression in x and y is an alternate interior angle with respect to the one marked 70°, is equal to that. This gives the two equations in x and y:

  6x +10y +30 = 110

  4x +10y +10 = 70

Subtracting the second equation from the first gives ...

  2x +20 = 40

  x +10 = 20 . . . . . divide by 2

  x = 10 . . . . . . . . . subtract 10

Substituting into the second equation gives ...

  4(10) +10y +10 = 70

  4 + y + 1 = 7 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . . . . . subtract 5

The values of x and y are 10 and 2, respectively.

Answer:

9514 1404 393

Step-by-step explanation:

Solve for x using the
distributive property
4(x + 2) = 4

Answers

Answer:

-1

Step-by-step explanation:

4x + 8 = 4

subtract 8 from each side

4x = -4

divide each side by -4

x= -1

Answer:

x = -1

Step-by-step explanation:

You would first multiply 4 with is the first number by x and 2. You would get 4x+8. The you would subtract 8 by both sides. 4x = -4. The you would divide 4 by -4. Which will get you -1.

:)

the greatest number that divide 60 and 84 without leaving a reminder ​

Answers

Step-by-step explanation:

HCF of 60 and 84 = 6

So the required greatest number that divides 60 and 84 without leaving remainder is 6.

i would say 4 because
4 divided by 60 is 15
4 divided by 84 is 21

En un Gran Premio de Fórmula 1, diez pilotos han obtenido estos tiempos en la clasificación. ¿Cuál es el orden de salida?

Answers

Answer:

WHat did he say

Step-by-step explanation:

Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither​

Answers

Answer:

Step-by-step explanation:

(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.

(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.

(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.

(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.

(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.

The product of three and a number equals the sum of 16 and a number. find the number

Answers

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

Set up the equation.

3n = n + 16

Step 2: Solve for n

Subtract n on both sides:                    2n = 16Divide 2 on both sides:                       n = 8

what is the slope and intercept of this equashion y = -9x + 3

Answers

Answer:

slope is -9

y intercept is 3

Step-by-step explanation:

its in the equation

Which property of equality should be used with the equation c+5=78 to solve?

Answers

Answer:

the subtraction property of equality

Step-by-step explanation:

We use the "subtraction property of equality" to solve for the unknown in the equation:

c + 5 = 78

subtract 5 from both sides:

c + 5 - 5 = 78 - 5

c = 73

Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?

Answers

The max amount of ppl is 20

A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If three have burritos and three have tacos the bill will be 17.25. Find the price of each burrito and taco

Answers

Answer:

burritos cost $4

tacos cost $ 1.75

Step-by-step explanation:

let b represent the price of burritos

let t represent the price of tacos

3b + 4t = 19

5b + 3t = 25.25

multiply the first equation by -3 and second by 4 to eliminate t

-3(3b + 4t = 19)

4(5b + 3t = 25.25)

-9b - 12t = -57

20b + 12t = 101

add both equations

11b  = 44

11       11

b = 4

substitute b = 4 into any equation to find the price of tacos

3b + 4t = 19

3(4) + 4t = 19

12 + 4t = 19

-12          -12

4t = 7

4    4

t = 1.75

X is carrying out a series of experiments which involve using increasing amounts of a chemical. In the first experiment he uses 6g of the chemical and in the second experiment he uses 7.8g of the chemical.
(i) Given that the amounts of the chemical used form an arithmetic progression, find the total amount of chemical used in the first 30 experiments. [4]
(ii) Instead it is given that the amounts of the chemical used form a geometric progression. X has a total of 1800g of the chemical available. Show that N, the greatest number of experiments possible, satisfies the inequality
1.3N ≤ 91.
and use logarithms to calculate the value of N.

Answers

Answer:

a)  963g

b) 17

Step-by-step explanation:

i) Now we must first find the common difference of the AP

d = 7.8 -6 = 1.8

Now the sum of the AP gives the total amount of chemical used for 30 experiments

Sn = n/2 [2a + (n-1)d]

n= 30, a = 6, d= 1.8

Sn = 30/2[2(6) + (30-1) (1.8)]

Sn = 15[12 + 52.2]

Sn = 963g

ii)For the G.P the common ration is (r)= 7.8/6 = 1.3

Since r>1, sum of GP = a (r^n -1)/r-1

If sum =  1800g

1800= 6(1.3^n -1)/1.3 - 1

1800 = 6(1.3^n -1)/0.3

1800 * 0.3  = 6(1.3^n -1)

540 = 6(1.3^n -1)

540/6 = (1.3^n -1)

90 = 1.3^n -1

90 + 1 = 1.3^n

1.3^n = 91

log 1.3^n = log 91

nlog1.3 = log 91

n = log91/log 1.3

n = 1.959/0.114

n = 17

Answer:

a)  963g

b) 17

Step-by-step explanation:

i) Now we must first find the common difference of the AP

d = 7.8 -6 = 1.8

Now the sum of the AP gives the total amount of chemical used for 30 experiments

Sn = n/2 [2a + (n-1)d]

n= 30, a = 6, d= 1.8

Sn = 30/2[2(6) + (30-1) (1.8)]

Sn = 15[12 + 52.2]

Sn = 963g

ii)For the G.P the common ration is (r)= 7.8/6 = 1.3

Since r>1, sum of GP = a (r^n -1)/r-1

If sum =  1800g

1800= 6(1.3^n -1)/1.3 - 1

1800 = 6(1.3^n -1)/0.3

1800 * 0.3  = 6(1.3^n -1)

540 = 6(1.3^n -1)

540/6 = (1.3^n -1)

90 = 1.3^n -1

90 + 1 = 1.3^n

1.3^n = 91

log 1.3^n = log 91

nlog1.3 = log 91

n = log91/log 1.3

n = 1.959/0.114

n = 17

7. 70% of what number is 112

Answers

Answer:

1.6

Step-by-step explanation:

you divide 112/70 and you get 1.6

What is the rate of change of y with respect to x for 9x-11y+2=0?

Answers

Answer:

the rate of chnge would be 9/11x

Step-by-step explanation:

here's a pic of my process:

How do you turn a percentage into a fraction?

Answers

Answer:

write the percent divided by 100

Step-by-step explanation:

1) write the percent divided by 100.

2) if the percent is not a whole number, multiply both top and bottom by 10 for every number after the decimal point.

3) reduce (simplify) the fraction.

One friend claims that to find the height of the platform, you need to use the tangent ratio. Explain why her approach is or is not a reasonable
approach to finding the height of the platform.

Find the height of the platform. Explain the trigonometric ratio that you chose and why you chose it. Show your work.

Find the horizontal distance from the bottom of the ramp to the bottom of the platform. Show your work.

Answers

Answer:

x ≈ 1.64 my ≈ 3.09 m

Step-by-step explanation:

ABC is right triangleAngle A and side AB givenSide BC to be found

Use sine of A to find the length of missing side:

opposite/hypotenuse = sinBC/AB = sin Ax/3.5 = sin 28x = 3.5* sin 28x = 3.5*0.47 ≈ 1.64 m

Horizontal distance y is:

y = √3.5²-1.64²= √9.5604 = 3.09 m

5. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting
the curved surface of the pillar at the rate of 12.50 per m.​

Answers

Answer:

The cost of painting the curved surface of pillar is: 68.69

Step-by-step explanation:

Given that

Diameter of pillar = d = 50 cm

As the height is in meters and we have to find the cost in per square meter, we have to convert cm into meters.

So,

d = 50/100 = 0.50 m

Now the radius will be:

[tex]r = \frac{d}{2} = \frac{0.50}{2} = 0.25m[/tex]

Also

Height = 3.5m

The curved surface area of cylinder is given by:

[tex]CSA = 2\pi rh[/tex]

Putting the values

[tex]CSA = 2 * 3.14 * 0.25 * 3.5 = 5.495\ m^2[/tex]

It is given that the cost per square meter is 12.50

The total cost for 5.495 m^2 will be: 12.50 * 5.495 = 68.6875

Rounding off to nearest hundredth: 68.69

Hence,

The cost of painting the curved surface of pillar is: 68.69

Solve for x in the parallelogram below.

Answers

Answer:

its 6

Step-by-step explanation:

-6+15x=84- add 6 to 84

15x=90 divide

x=6

We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored first?

Answers

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

Which expression represents
"thirty-eight less than the sum of forty and nineteen"?
A 38 – 40 + 19
® 38 - (40 – 19)
19+ (40 – 38)
D (40+ 19) – 38

Answers

Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

what is the interior angle sum of 31-gon

Answers

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles =  29 * 180

Sum of Interior Angles =  5,220

The interior angle sum of 31-gon is A = 5220°

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the interior angle sum of the polygon be = A

Now , the value of A is calculated by

The number of sides of the polygon n = 31

So , the interior angle sum of the 31-gon is given by the equation

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides , so

Substituting the values in the equation , we get

The value of nθ = 180 ( n - 2 )

The value of nθ = 180 ( 31 - 2 )

The value of nθ = 180 x 29

The value of nθ = 5220°

Therefore , the value of A is 5220°

Hence , The interior angle sum of 31-gon is A = 5220°

To learn more about interior angle sum of a polygon click :

https://brainly.com/question/14611583

#SPJ5

Help me please I need this

Answers

Answer:

i think the answer is -13

Step-by-step explanation:

b-6= -7-6

=-13

your correct answer is 13

I am sure it's correct... just go for it

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