<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer 1

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees


Related Questions

Helpp me PlzzzzzZZzz

Answers

Answer: B. Distributive Property

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Distributive Property  

c(n) = -6 + 5(n-1) Find the 8th term in the sequence.​

Answers

Answer:

I think it is 29

Step-by-step explanation:

-6+5((8)-1)=29

What does this even mean??? I accidentally went on college

Answers

Answer:

I think what the teacher wants is for you to calculate it and then put said calcuated number on number line

Step-by-step explanation:

FOR EXAMPLE: if the DIFFERENCE is 7, put 7 on the number line

I think the greatest number

Which lines are perpendicular to the line y – 1 = One-third(x+2)

Answers

Answer:

[tex]y-1=-3(x+2)[/tex]

Step-by-step explanation:

The equation of the given line:

[tex]y-1=\frac{1}{3}(x+2)[/tex]

This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex].  Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope).  Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]

(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =

Answers

Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.

If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives

-csc²(y) y' = 1

y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)

Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by

f(a, b) • v

Compute the gradient ∇ f(x, y) :

f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j

At the point P, we have

f(x, y) = - 8/17 i - 8/17 j

So, the derivative of f at P along v = - 4 i + 5 j is

(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17

PLEASE HELP ME I NEED THE ANSWER VERY BADLY JUST PLEASE GIVE ME THE ANSWER CHOICE AND DONT GUESS!!!!!!!!!!!!!!
the equations below are representations of linear equations in two variables.
I. y=-2/3x+4
II. y-2=2/3(x-9)
III. 2x+3y=12.

Which linear equation(s) in two variables represent a line that contains the point(9,-2) and with a slope of -2/3?

A. I,II and III
B. I and II only
C. I and III only
D. II and III only

Answers

Answer:

ITS B

Step-by-step explanation:

HOPEFULLY THIS WORKS!!!

Applying the Pythagorean Theorem

What is the value of x?

x = ?

Answers

Answer :

hyp² = base² + perp²

by putting the values we get

10² = 8² + perp²

100 = 64 + perp²

taking 64 to left side.

100 - 64 = perp²

36 = perp²

Now taking underroot on both sides we get

[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]

therefore

6 = perp

perp is x in the above solution.

The solution is x = 6

The value of x in the triangle is x = 6

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Triangle ABC is a right triangle

Now , the measure of sides of the triangle are

The measure of side AB = x

The measure of side BC = 8

The measure of side AC = 10

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

10² = x² + 8²

Subtracting 8² on both sides of the equation , we get

x² = 10² - 8²

x² = 100 - 64

x² = 36

Taking square roots on both sides of the equation , we get

x = 6

Therefore , the value of x is 6

Hence , the measure of side AB of the triangle is x = 6

To learn more about triangle click :

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Please help me I can’t figure it out

Answers

Answer:

its C.

Step-by-step explanation:

omg that took forever to solve

Find the value of x.

(9x + 1)
(11x – 23)

Answers

the answer to the question is x=12

6. When you barter, you must ________
in order to buy something.

Answers

Answer:

When you barter, you must trade it for something else in order to buy something.

Step-by-step explanation:

When you barter, you must  exchange in order to buy something.

What is barter?

Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.

Given: A person barters

Therefore he must trade it for something else (exchange) in order to buy something.

Hence, When you barter, you must  exchange in order to buy something.

Learn more about barter here:

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Graph the line 3x + 6y =12.

Answers

Answer: Slope=−  2.000 /1.000  =−0.500

x−intercept=  1 /4  =4.00000

y−intercept=  2 /4  =2

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(12)=0

Pull out like factors :  3x + 6y - 12  =   3 • (x + 2y - 4)

Solve :    3   =  0

A a non-zero constant never equals zero.

Solve   x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-4  = 0 and calculate its properties

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 4/1  =  4.00000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.000/2.000 = -0.500

 Slope = -1.000/2.000 = -0.500

 x-intercept = 4/1 = 4.00000

 y-intercept = 4/2 = 2

Acell phone company charges $3.00 to make a phone call plus $0.15 for
each minute for each minute you talk. Which equation would you use to
determine the total cost, c, of a phone call that is m number of minutes
long?
C=0,15 - 300m c-3.00 -0.15m
3.00 = € + 0,19
C = 3,00 + 0.15m

Answers

Answer:

Hi there!

Your answer is:

3+.15m =c

I cannot read your answer choices, but that is your answer. I believe your answer choice that matches is the lowest one; C= 3,00 +.15m

Hope this Helps

Twelve decreased by twice a number equals -34. What is that number?

Answers

Answer:

12 - 2x = -34

Step-by-step explanation:

Im not entirely sure if this is correct but yeee

High Hopes^^

Barry-

Number is 23 because 12-2x=-34 is equivalent to the number 24

cómo se escribe el número 88,317​

Answers

Answer:

Eighty-Eight thousand three hundred seventeen

Step-by-step explanation:

Answer:

ochenta ochenta mil trescientos diecisiete

Step-by-step explanation:

No estoy seguro de lo que quiere saber. Asumo que estás preguntando cómo escribirlo en palabras. Pero todavía no estoy tan seguro. Por favor, avíseme si necesito resolverlo de otra manera.

what is 4/9 times what equals 12

Answers

Step-by-step explanation:

4/9A = 12

A = 12×9/4

= 27

......

What is this question 23474+ 4749

Answers

Answer:

The answer to this is 23474 + 4749 = 28223

Step-by-step explanation:

Hope this helps :)

Answer:

Sum:: 28223

Step-by-step explanation:

If your referring to write it in question form::

What is the sum of 23,474 plus 4,749 ?

Simplify the following expressions ?
-9x+9x^2+8x^2+4x

Answers

Answer:

-5x+17x^2

Step-by-step explanation:

Hope that helps good luck

9514 1404 393

Answer:

  17x^2 -5x

Step-by-step explanation:

"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.

  -9x+9x^2+8x^2+4x

  = 9x^2 +8x^2 -9x +4x

  = x^2(9+8) +x(-9+4)

  = 17x^2 -5x

A government might try to reduce unemployment in order to:
A. Allow businesses to invest money more freely.
B. set limits on its own economic growth.
C. keep inflation from rising too quickly
D. make sure its people can find jobs
If you get it correct will give brainly

Answers

Answer:

Make sure people can find jobs

Step-by-step explanation:

Answer: D, Make sure it’s people can Find job’s.

Step-by-step explanation: it’s the Answer I just did the quiz.

In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3}
3
1
​ of an hour. His swimming partner, Mila, swam \frac {2}{3}
3
2
​ of Logan's distance in \frac {1}{4}
4
1
​ of an hour. 2. What is Mila's average swimming speed? Show your work.

Answers

Answer:

500

Step-by-step explanation:

Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms

Answers

Answer:

5.91 kilograms

591,000 centigrams

Step-by-step explanation:

These two are WRONG:

59,100 kilograms

59.1 centigrams

Which equation represents the graph shown?

Answers

Step-by-step explanation:

The graph is a linear equation starting at 0.

form y = mx + b.

starts at 0, so b = 0, so the 2nd and 3rd choices are incorrect.

change in y/change in x is the slope,

and you can see it goes up about 35 in the y direction for every 1 in the x, so the slope is 35.

so it's the first answer.

The linear equation of the graph is y = 35x. So, the option first is correct.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.

The graph is a linear equation origin at 0.

Since b = 0, the 2nd and 3rd choices are incorrect.

The slope = change in y/change in x

Here, we can see that it goes up about 35 in the y-direction for every 1 unit of in the x, so the slope is 35.

so the first answer is correct which is y = 35x.

Learn about linear equations here:

brainly.com/question/11897796

In five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela. How old is each now?

Answers

Answer:

so how you would wNt to go about this is we dont know tge ages so youd use variables

Answer:

Khalil is 7 years old. Angela is 2 years old.

Step-by-step explanation:

I hope this helps

Can someone please help, ty!!

Answers

Answer:

(-1,0)

Step-by-step explanation:

Answer:

(-1, 0)

Step-by-step explanation:

The x-axis is the horizontal line in bold. It's basically asking what points in the form (x,y) are touching said line.

So we use our eyes and determine that the line intercepts the x-axis at -1 because that vertical bold line is the y-axis and it determines that the left side of the graph is negative and the right side is positive.  

Since it is an x-intercpet, when the y-value is 0 the y-term in

(x,y) is 0

and the x-term would be the -1

A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
How much sales tax will be charged at Store B?

Answers

Answer:

72 on edge

Step-by-step explanation:

Answer:

94.50

Step-by-step explanation:

Can someone solve this???

Answers

Answer:

1. a)x² + y² = 29  ------------------(1)      

y² - x² = 23 ----------------(2)

y²  = 23 + x²

Using the value of y² in the first equation:

x²  + y²  = 29

x²  + (23 + x²)  = 29

2x²  = 6

x² = 3

x = √3

Using the value of x in equation (2)

y²  - x²  = 23

y²  - 3 = 23

y²  = 26

y = √26            and            x = √3

b) ( 1 - 12x) / 3 < 0   =   1-12x < 0  =  x > 1 / 12

(1-x) / 2 ≤ (3-x) 3  =  3 - 3x ≤ 6 - 2x  =   -3 ≤ x

In these 2 equations, the value of x will be the values of x common to both the inequalities

Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation

Hence, the value of x for the given system of equations is

x  > 1/12

2.

3x² - 7x  + 2 ≥ 0

3x² -6x -1x  + 2 ≥ 0       (splitting the middle term)

3x(x - 2) -(x - 2) ≥ 0

(3x - 1)(x-2) ≥ 0

(3x-1) ≥ 0         or     (x-2) ≥ 0

x ≥ 1/3       or    x ≥ 2

Written above are the 2 solutions for the given equation

4.

We are given that Sin α = (2√3) / 3  or 2/√3

According to the pythagorean law:

sin²α + cos²α = 1

4 / 3  + cos²α = 1

cos²α = (3-4)/3

cos²α = -1/3

cos α = √(-1/3)      or    i / √3    since √-1 is also known as i

Cosec α = 1/ Sin α

Cosec α = 1 / (2/√3)

Cosec α = √3 / 2

Sec α = 1 / cos α

Sec α = 1 /  √(-1/3)

Sec α = (√3)  / (√-1)

Since (√-1) is also known as i , we can write this as:

Sec α = (√3)  / i

Tan α = Sin α / Cos α

Tan α = (2√3 / 3) / (i / √3)

Tan α = (2√3 * √3) / 3 * i)

Tan α = 2 / i

Cot α = 1/Tan α

Cot α = 1 / (2 / i)

Cot α = i / 2

What is the coefficient of 5a^2-7

Answers

The coefficient is 5

Answer: 5

Step-by-step explanation:

A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.

Can anyone help me on this pleaseeeee

Answers

Answer:

I believe it's B.

Step-by-step explanation:

You're going 5 units right on the X-axis, and -2 units down on the Y-axis.

If the variance of the data values in a population is 225, what is the standard
deviation of the data values?
a.15
b.17
c.11
d.13
(apex)

Answers

Answer:15

Step-by-step explanation:

Apex

Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old as Helen. What are the ages

Answers

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.

Let's define the variables we will be using.

m = Mary's age.h = Helen's age.

We know that "Mary is twice as old as Helen’s age"

Then:

m = 2*h

"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."

(m + 4) = 4*(h - 8)

Then the system of equations is:

m = 2*h

(m + 4) = 4*(h - 8)

To solve it, we can replace m by 2*h in the second equation, so we get:

(2h + 4) = 4*(h - 8)

2*h + 4 = 4*h - 32

4 + 32 = 4*h - 2*h

36/2 = h = 18

And we know that:

m = 2*h = 2*18 = 36

So Helen is 18 years old, and Mary is 36 years old.

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Determine x:
X
2
47°

Answers

here is your answer 12°
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