<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

Convert into linear equations

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The slack variables make up the difference between the sum of the utilizations and the limit. A separate slack variable is needed for each limit. As with the other variables, its minimum value is zero.

For ( ) ≤ lim constraints, the slack variables are on the left side of the equal sign:

  ( ) +s ≤ lim.

__

For ( ) ≥ lim constraints, the slack variables can be on the right side of the equal sign:

  ( ) = s + lim

The more usual representation in a linear programming matrix is ...

  ( ) - s = lim

__

Here, your constraints are "≤", so each equation will have a unique slack variable added to the left side sum.

what is 13,899 rounding to the thousands

Answers

Answer: 14,000

...............................

Answer:

Step-by-step explanation:

round 13,899 to the nearest thousands which would be

14,000

Convert 13/2 to a decimal using long division.

Answers

Answer:

6.5

Step-by-step explanation:

Divide 13 by 2 to get 6.5

Answer: 13/2 = 6 with a reminder of 1

Step-by-step explanation:  Attached image should show you my work.

You have acummulated $85,000 in student loans that average 5% interest

Answers

Answer: The student will have to pay $900 per month including intrest and a portion of principal

1. Diego earns $10 per hour babysitting. Assume that he has no money saved
before he starts babysitting and plans to save all of his earnings. Graph how
much money, y, he has after x hours of babysitting
Step 1:
Step 2
Step 3:

Answers

The equation is 10x=y I’m not sure how we’re supposed to show a graph over this app

The required expression for the Digo earning is y = 10x and the graph of the expression is shown.

Given that,
Diego earns $10 per hour babysitting. Assume that he has no money saved

before he starts babysitting and plans to save all of his earnings.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let the hours of babysitting be x,
According to the question,
Hourly rate is $10 for x hour the total charge is,
y = 10x

Thus, the required expression for the Digo earning is y = 10x and the graph of the expression is shown.

learn more about function here:

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Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function

A:function only
B:Relation only
C:Neither function nor relation
D:Function and relation

Answers

Answer:

C:Neither funtion nor relation

C:Ni función ni relación

espero que te sirva marcarme como mejor respuesta PORFA y gracias

Answer:

relation only

Step-by-step explanation:

A relation is a set of one or more ordered pairs.

A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.

The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross the graph in more than one place, it is a function.

Any vertical line drawn where x > -4 will cross the graph in more than one place.

Therefore, the graph is not a function, it is a relation only.

At the movie theatre's a medium, 44 oz., coke costs $8.80. What is the price per ounce?

Answers

2 cents per ounce.

Work

$8.80 divided by 44

Add the fractions. Write your answer as a mixed number 3/5+4/5

Answers

Answer:

Step-by-step explanation:

3 + 4 = 7.

the denominator stays the same. You only add the numerators.

7/5 in mixed number form is 1  2/5  because 7 goes into 5 once. so kinda like 7 - 5 = 2.  and the 2 goes on top now.

11.
What must the slope of a line be if it is parallel to the line
12x + 8y = -6?
A) –
B)
C) 1
D) -12
3
WIN
2
o
A
O
B
С
o o
D

Answers

Answer:

A) -3/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Write equation

12x + 8y = -6

Step 2: Write in slope-intercept form

Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4

Step 3: Find slope

Slope of a parallel line always has the same slope of the original line.

m = -3/2 (Original)

m = -3/2 (Parallel)

Beverly wants to make 2 1/2 recipes of play clay for her daughter’s birthday party. How much salt will she need in all?

Answers

Answer:  D

Step-by-step explanation:

To find the answer for this problem, you will need to convert all the terms into improper fractions. Since you want 2 1/2 of the recipe, you need to multiply by 2 1/2.

2 1/2 = 5/2

3 2/3 = 11/3

And then you would multiply and solve:

5/2 * 11/3 = 55/6

55/6 = 9 1/6

The answer is D :)

Answer:

There are 3 2/3 teaspoons of salt

Step-by-step explanation:

Simplify 4(3x - 1) = 2(6 + 2x)
14x - 13
8x -16
8 + 16x
14x + 13​

Answers

Answer:

8 + 16x

Step-by-step explanation:

Compare 167.4 and 167.462.

Answers

Answer: <

Step-by-step explanation:

167.4=167.40 so 167.462 is greater. It’s correct. Trust me.

Write the slope intercept form of the equation of the line through the given point with the given slope.

1) through: (3,4), slope = 2


2) through: (5,-5), slope=-6/5

Answers

Answer:

1) y = 2x-2

2) y = -6/5+1

Step-by-step explanation:

700 borrowed using a simple interest for 6 years at a rate of 5%, what is the interest amount?

Answers

Answer:

210

Step-by-step explanation:

I= p x r x t

I = 700 x 5/100 x 6

I= 700 x 0.05 x 6

I= 210

These two graphs show the same data. What is
different about the two graphs?
the vertical scale
the horizontal scale
the width of intervals
the starting values of the intervals

Answers

Answer:

A. (the vertical scale)

2nd part is the Bottom graph

Step-by-step explanation:

Answer:

A. The Vertical Scale

Step-by-step explanation:

the other one has more value than the other....And i got it right from

---------------------------------------E D G E N U I T Y 2 0 2 0--------------------------------------

hope this helps. :P

Between which two consecutive integers does 85 square lie

Answers

Answer:

:)

Step-by-step explanation:

9 & 10

go add the snap carmel.bratz

PLEASE HELP WILL GIVE BRAINLIEST PLSSSSS

Answers

Answer:

c

Step-by-step explanation:

-3x - 8 = 10

Help. solve for X

Answers

Answer:

x= -6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

can i have brainlest pls

Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?

Answers

Answer:

45 minutes

Step-by-step explanation:

If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.

The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,

Rate of Jerry = 1/1 room per hour

                      = 1 room per hour

Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,

Rate of Jake = 1/4 room per hour

Now, the rate at which they two will work together is,

Rate of working together = 1 + 1/4 room per hour

                                           = 5/4 room per hour

Further, the time it will take for the two of them to frame a room working together is,

Time = 1/Rate

         = 4/5 hour

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Simplify the following problem.
(-8+61) +(6+61)

Answers

Answer: -8+61 = 53 and 6+61 = 67

What is 7+7 and 9-12

Answers

Answer:

Step-by-step explanation:

7+7= 14

And

9-12= -3

7+7=14 and 9-12=3 hope this helped!

The graph of y = x4 - 2x2 + 1 is shown.

Answers

Answer:

the answer is89 why 838+3838+3838×908=72

Please help me! I’ll name you brainiest!!!

Answers

Answer:

80

Step-by-step explanation:

first, put in (5x-4) for the x in g(x).

g(f(x))=(5x-4)^2 -1

now, FOIL and simplify.

25x^2-40x+16-1

25x^2-40x+15

now, plug in -1 for x.

25(-1)^2-40(-1)+15

25+40+15

80

What is 1/20 written as a percent
0.5%
5%
10%
20%

Answers

Answer:

the answer is 5 percent

Answer: 5%

Step-by-step explanation:

1/20 = 5/100

5/100 = 5%

Help please I’m stuck on a few of these

Answers

Answer:

27

Step-by-step explanation:

Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.

Hope this helps!

INVERSE FUNCTIONS

If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.

BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.

Why is this number not in scientific notation?

36.5 x 10 6

Answers

If that is supposed to be 10 to the power of 6 I believe it’s 36500000

Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.

Answers

Answer:

Step-by-step explanation:

complex roots always occur in pairs.

roots are 1,2-2i,2+2i

P(x)=a(x-a)(x-b)(x-c)

P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]

=1(x-1)[(x-2)+2i][(x-2)-2i]

=(x-1)[(x-2)²-(2i)²]

=(x-1)[(x-2)²-4i²]

=(x-1)[x²-4x+4-4(-1)]

=(x-1)[x²-4x+4+4]

=(x-1)[x²-4x+8]

=x³-4x²+8x-x²+4x-8

=x³-5x²+12x-8

which function has an inverse that is also a function?

Answers

Answer:

I think its the first one

The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).

What is an inverse function?

An inverse function refer to a function which alter or cause changes to other function given.

Therefore, The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).

Learn more about inverse function below.

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A group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket​

Answers

Answer:

each ticket is $8.75

Step-by-step explanation:

c=8$8.75

The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.

What is the equation that can be used to determine the cost of each movie ticket?

Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon

50.50 = 6C - $2

Combine similar terms

$50.50 - $2 = 6C

$48.50 = 6C

Divide both sides of the equawtion by 6

C = $48.50 / 6

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What is 4 + 8m < 2 (2m
4)

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu

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