The measure of a supplement of angle is 12 more than three times the measure of a complement. find the measure of the angle.

Answers

Answer 1
let x be the angle, the complement is 90-x. the sup is 180-x.

So 180-x = 3(90-x)+12
180-x=282-3x
180+2x=282
x=102
x=51









Related Questions

Select all of the following that are statements. The sun comes up in the east. He is six years old. The moon is made of green cheese. Do well in math. 3x + 4 = 17 Open the door. 7 x 6 = 42

Answers

The sun rises in the east is true, 3x+4=17 could be true because x could be an infinite number of possibilities, and 7x6 does equal 42
So basically what it is saying is that you need to select the follow that are "true"?????

what is cos of negative pi/3?
what is sin of negative pi/3?

Answers

pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2 
Cosine is even function, so:

[tex]$\cos(-\frac{\pi}{3})=\cos(\frac{\pi}{3})=\frac{1}{2} [/tex]

and sine is odd function, so:

[tex]$\sin(-\frac{\pi}{3})=-\sin(\frac{\pi}{3})=-\frac{\sqrt{3}}{2} [/tex]

What is an angle that is congruent to bgd?

Answers

EGA is congruent  (are across from each other)
Eag is the congruent

Kristen bought 2 candy bars for $1.29 each and a soda for$1.99. She had to pay $0.38 in tax. How much was her bill?

Answers

Answer:

$4.95

Step-by-step explanation:

1.29 * 2 = 2.58 + 1.99 = 4.57

4.57 + .38 = 4.95

What is the solution to the following system of linear equations?

{4x - y = -6
{x - 2y = -5

Please explain how you solved!

Answers

Final answer:

The solution to the system of linear equations is x = -1, y = 2

Explanation:

To solve the system of linear equations:
4x - y = -6
x - 2y = -5
We can use the method of substitution or elimination to find the solution.
Let's use the elimination method. We can multiply the second equation by 4 to make the coefficients of x in both equations the same.
4(x - 2y) = 4(-5)
4x - 8y = -20
Now, we can subtract the second equation from the first equation to eliminate x.
(4x - y) - (4x - 8y) = (-6) - (-20)
-y + 8y = 14
7y = 14
y = 2
Substituting y = 2 back into the first equation:
4x - 2 = -6
4x = -4
x = -1
The solution to the system of linear equations is x = -1, y = 2

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 3030 hours and the median is 26.226.2 hours. twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. the 11th11th percentile of the data is 1515 hours. step 2 of 5 : approximately how many families are in the sample? round your answer to the nearest integer.

Answers

Go to papa math,tiger algebra,picture math!!!!!!

The length of a rectangle is twice its width. if the perimeter of the rectangle is 54 ft , find its length and width.

Answers

Let w be the width.

2(2w) + 2w = 54.

4w+2w = 54
6w=54.
w=9
So length equals twice that...I think you can solve that on your own. xD

Write each number as the product of its prime factors
1.) 76
2.) 35
3.)36
4.) 150
5.)180
6.) 520
please help i have 30 mins to get these answered!! :(

Answers

1) 2x2x3
2) 5x7
3) 2x2x3x3
4) 2x3x5x5
5) 2x2x3x3x5
6) 2x2x2x5x13

what is the measure of <DCF

Answers

129 degrees you just add DCE and ECF together

Answer:

The measure of angle DCF is 129 degrees.

Step-by-step explanation:

Angle DCF is the sum of angle DCE plus angle ECF.

This is because, DCF is the main angle and DCE and ECF are its two parts.

Hence, the measure of angle DCF will be = [tex]75+54=129[/tex] degrees.

The answer is :

The measure of angle DCF is 129 degrees.

which number belongs to the solution set of the equation below? 9x=114
A.14
B.16
C.12
D.18

Answers

its C.

You divide 114 / 9 and get your answer
Hi there!

9x = 114
Divide both sides by 9
9x/9 = 114/9
x = 38/3
In decimal it is x = 12.666667

So, C is the correct answer!
I hope I helped!

what is another name for BD

Answers

Another name for BD is DB

Answer:

BD = DB

Step-by-step explanation:

Great question, it is always good to ask questions to get rid of any doubts that you may be having,

Assuming I am understanding the question correctly and assuming that we are talking about line segment. Line segments can be spelled or represented in any direction backwards or forwards. In this case we are talking about a line segment called BD therefore it can also be referred to as DB.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Find the opposite and reciprocal of -1.8.

Answers

oposite of -1.8 is 1.8
the reciprocal of -1.8 is [tex]\frac{1}{-1.8}[/tex] or [tex]\frac{-1}{1.8}[/tex]

the oposite reciprocal would be [tex]\frac{1}{1.8}[/tex]

Factor this polynomial using the GCF: 3xy^2 + 3xy^2 - 3xy


3xy(y + x - 1)


-3xy(y + x + 1)


3x(y2 + x - 1)


3x^2(y2 + 1 - 1)

Answers

3xy^2 + 3yx^2 - 3xy....GCF is 3xy

3xy(y + x - 1) <==

Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2

Answers

2x²+3x-4+8-3x+(-5)x²+2
(2x² -5x²)+(3x-3x)+(-4+8+2)
-3x+6

Answer:

The answer is -3x^2+6

Add. Write your answer in simplest form. 3/5 + 5/8

Answers

3/5 + 5/8 = ?

Since they both have different denominators (bottom numbers), then we must find the GCD (greatest common denominator).

What can be divided into 5 AND 8? 40!

How many times can 40 be divided into 5? 8 times!

How many times can 40 be divided into 8? 5 times!

So, you take that number and multiply it by the numerator (top number) and you get your new yet equivalent fraction.

3/5 turns into 24/40 & 5/8 turns into 25/40

So, our new question looks like this :

24/40 + 25/40

Since both of these fractions have the same denominator (bottom number), you can simply add the top numbers together! :)

24 + 25 = 49

So, our answer to 3/5 + 5/8 = 49/40

Turn this into a mixed number.

49/40 = 1 9/40

So, your FINAL ANSWER is 1 9/40

~Hope I helped!~

How to write an equation with an undefined slope?

Answers

hello : 
an equation with an undefined slope is : x = a
parallal a : y axis

Which statement is true about the line passing through points A and B?


A. The line has a finite length that can be measured.

B. There is only one way to name the line.

C. The line has infinitely many points.

D. There are only two points on the entire line.

Answers

I want to say it's D because if we're talking about points A and B, the line would be line AB or BA, and, as the question states, there are 2 points.

what would 3/4 - 3/4 be?

Answers

Anything subtracted by itself is 0

So, the answer is 0.

Hope this helped!
3/4 minus 3/4 would be 0. hope you can figure it out on your own now

Can someone help me with 16 and 20? If you’re supposed to write a contrapositive and inverse, but the word not is already in the statement, what do you do?

Answers

Since 2 'not's cancel out, 16's contrapositive is 'If the light will go on, then the fuse has not blown'. In addition, the inverse would be 'If the fuse has not blown, then the light will go on'. I challenge you to do 20 using this information!

Write the equation of the line that is perpendicular to 5x+8y=16 and passes through (-5,7).

Answers

In order to do this problem, we should first put the equation in slope-intercept form, and then consider the relationship between the slopes of perpendicular lines. 
Slope Intercept form (y=mx + b), m=slope, b=y-intercept
5x + 8y = 16         Subtract 5x from both sides
8y=-5x + 16          Divide both sides by 8
y= (-5/8)x  + 2

This is our line in slope-intercept form. What will the slope be of a line that is perpendicular to this one? It will be the opposite inverse of the slope of our equation. The opposite inverse means flipping the numerator and denominator, and multiplying by negative one.
Our slope = -5/8, so the opposite inverse is 8/5.

The slope of our perpendicular line will be 8/5
In slope intercept form, our line will be 
y=(8/5)x + b
We know it passes through the point (-5,7), so we can plug in -5 for x and 7 for y in order to find b:
7 = (8/5) * -5 + b
7 = 8 *-1 + b        Add 8 to both sides
15 = b
Plugging in b, we can get our general function in slope-intercept form:

y= (8/5)x + 15

A moving company charges a $2,000 fee plus $100 per hour. Another moving company charges an $1,800 fee plus $150 per hour. How long is a job for which the two companies' costs are the same?

Answers

The costs of two moving companies are the same for a job that lasts 4 hours.

To find out how long a job must last for the two companies' costs to be the same, we need to set up an equation where both company costs are equal and solve for the time variable, which I will denote as 't' hours.

The first moving company's cost can be represented as:$2,000 + $100 x t.

The second moving company's cost can be represented as: $1,800 + $150 x t.

To find the time when both costs are the same, we set the two expressions equal to each other:

$2,000 + $100t = $1,800 + $150t

Now, we need to solve for 't' by subtracting $100t from both sides and subtracting $1,800 from both sides:

$200 = $50t

Divide both sides by $50 to isolate 't':

t = 4 hours

So, the two companies would have the same cost for a 4-hour job.

What is the area of a triangle whose vertices are
R(−4, 2),S(1, 2), and T(−5, −4)?
 
Enter your answer in the box

Answers

ANSWER

15 square units.

EXPLANATION

This triangle has one of its height(altitudes) falling outside the triangle.

We determine the base using absolute value method. This is because the coordinates of [tex]R(-4,2)[/tex] and [tex]S(1,2)[/tex] tell us that this line is horizontal. The y-values are constant.

Therefore [tex]|RS|=|1--4|[/tex]

[tex]\Rightarrow |RS|=|1+4|[/tex]

[tex]\Rightarrow |RS|=|5|[/tex]

[tex]\Rightarrow |RS|=5[/tex]

Also

The triangle is bounded between [tex]y=2[/tex] and [tex]y=-4[/tex].

Therefore the vertical height of interest,

[tex]|RT|=|-4-2|[/tex]

[tex]|RT|=|-6|[/tex]

[tex]|RT|=6[/tex]

We can now find the area using the formula

[tex]Area=\frac{1}{2}base\times height[/tex]

[tex]Area=\frac{1}{2}\times6 \times 5[/tex]

[tex]Area=3 \times 5[/tex]

[tex]Area=15[/tex] square units

5/16t=-9

Plz help me ASAP and show all of the steps that you did! PLEASE HELP!!! :) 10 POINTS!!!!!

Answers

I'm going to assume that the equation is [tex]\frac{5}{16}t = -9[/tex] where the 't' is not in the denominator

If that assumption is correct, then we do two things to solve for t. First, we multiply both sides by 16. This undoes the division of 16 on the left side

[tex]\frac{5}{16}t = -9[/tex]

[tex]16*\frac{5}{16}t = 16*(-9)[/tex]

[tex]5t = -144[/tex]

-------------------------------

Then we divide both sides by 5 to undo the multiplication of 5 (note: 5t means 5*t or "5 times t")

[tex]5t = -144[/tex]

[tex]\frac{5t}{5} = \frac{-144}{5}[/tex]

[tex]t = -\frac{144}{5}[/tex]

-------------------------------

So here's what all the steps look like:

[tex]\frac{5}{16}t = -9[/tex]

[tex]16*\frac{5}{16}t = 16*(-9)[/tex]

[tex]5t = -144[/tex]

[tex]\frac{5t}{5} = \frac{-144}{5}[/tex]

[tex]t = -\frac{144}{5}[/tex]

note: -144/5 converts to the decimal value of -28.8 so t = -144/5 is the same as t = -28.8

What is the perimeter of a square with an area of 144 square inches?

Answers

Hi!

Since we know a square has sides of equal length, and to find the area of a square you square one of the side lengths, find the square root of 144.

The square root of 144 is 12.

So the means each side length is 12.

A perimeter is the distance around the square, or all of the side lengths added together.

4 sides on a square, each length is 12...
12 x 4 = 48

The perimeter is 48

Hope this helps! :)

If a system of linear equations has the unique solution (2, −3), then its graph consists of what?

parallel lines
lines that intersect at a single point
identical lines
a y-intercept at −3

Answers

Answer: B - lines that intersect at a single point

Answer:

Answer: B - lines that intersect at a single point

Step-by-step explanation:

glad i helped

what is the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? A: 6/5-y B: 6/5+y C:6(5+y) D: 6/5 + 6y

Answers

that means that 6 is divided by (5+y)

Its  B  though i would have wriiten it as 6/(5+y)  to avoid ambiguity

The algebraic expression for the word phrase is;

⇒ 6/5+y

Option B is true.

Here,

The word phrase is;

''The quotient of 6 and the sum of 5 and y''.

We have to find the algebraic expression.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

The word phrase is;

''The quotient of 6 and the sum of 5 and y''.

Quotient means fraction and sum of 5 and y is 5 + y.

Hence, The algebraic expression is;

⇒ 6 / 5+y

Therefore, The algebraic expression for the word phrase is;

⇒ 6/5+y

Option B is true.

Learn more about the mathematical expression visit:

https://brainly.com/question/1852123

#SPJ2

Marks canoes rents for $20 plus $35 per hour you do not want to spend more than $1.50.for how many hours can you afford to rent the canoe

Answers

You can get 3 hours in because $150-$20= $130
$130/35=3.7 hours but since he can’t spend over that amount it would be 3 hours
3 hours will be your answer.
Have a blessed day/night.

Is the product of two integers positive negative or zero how can you tell?

Answers

If both integers have the same polarity (both positive or both negative), then the product will be positive.

If one integer’s polarity is different from the other (one is positive and the other is negative) then the product will be negative.

If a number is rational then it must be a whole number true or false

Answers

False, because rational numbers are mostly fractions which isn't exactly a whole number

Find a cubic function with the given zeros. Square root of two., - Square root of two., -2 A. f(x) = x^3 + 2x^2 - 2x + 4 B. f(x) = x^3 + 2x^2 + 2x - 4 C. f(x) = x^3 - 2x^2 - 2x - 4 D. f(x) = x^3 + 2x^2 - 2x - 4

Answers

Hello,

Answer D

[tex](x- \sqrt{2} )*(x+ \sqrt{2} )*(x+2)\\\\ =(x^2-2)(x+2)\\\\ =x^3+2x^2-2x-4\\\\ [/tex]
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