Answer: x = 6
=================================================
Work Shown:
According to the remote interior angle theorem, we can add the interior angles to get the exterior angle that is not adjacent to the interior angles.
So we'll add interior angles D = 6x+8 and E = 5x+8, and that sum leads to 82.
Let's solve for x
(6x+8)+(5x+8) = 82
11x+16 = 82
11x = 82-16 ....... subtracting 16 from both sides
11x = 66
x = 66/11 ...... dividing both sides by 11
x = 6
-----------------
A slightly longer method involves letting y be the missing interior angle of triangle DEC.
Then we can say D+E+C = (6x+8)+(5x+8)+y = 180. This is because the interior angles of any triangle always add to 180.
Furthermore, we also know y+82 = 180, since the angles y and 82 are a linear pair. Solving for y leads to y = 180-82 = 98
Plug this back into the first equation and solve for x
(6x+8)+(5x+8)+y = 180
(6x+8)+(5x+8)+98 = 180
(6x+8)+(5x+8)= 180-98
(6x+8)+(5x+8) = 82 .... note how this equation shows up again
The steps to solving are shown in the previous section.
Given the graph of the function f(x) below, what happens to f(x) when x is a very small positive number?
F(x) is a negative number with a large absolute value
F(x) is a negatice number with a small absolute value
F(x) is a very small positive number
F(x) is a very large positive number
Using function concepts, it is found that what happens to f(x) when x is a very small positive number is that:
F(x) is a negative number with a large absolute value.
What is the limit of the function as x goes to 0 by the right?F(x) goes to negative infinity, that is, when x is a very small positive number, F(x) is a negative number with a large absolute value.
More can be learned about function concepts at https://brainly.com/question/25537936
#SPJ1
Answer:
F(x) is a negative number with a large absolute value.
Step-by-step explanation:
A gallon of milk costs $4.20. What is the cost per quart? (1 gallon = 4 quarts)
Answer:
$1.05
Step-by-step explanation:
if you do 4.20 divided by 4 you get 1.05 and to see if its right you multiply 1.05 by 4 and you get 4.20.
Samuel wants to buy a snake for $288 and the pet store owner wants him to make 6 equal payments of $49. 6 StartLongDivisionSymbol 288 EndLongDivisionSymbol minus 240 = 48. 48 minus 48 to get a remainder of 0 and a quotient of 49. What error did the pet store owner make? There is a multiplication error. The payment should be $48 per month. There is a multiplication error. The payment should be $58 per month. 6 goes into 288 forty-six times. The answer is $46. 6 goes into 48 nine times. $49 is correct.
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
PLEASE HELP, I'VE ASKED 2 TIMES BEFORE THIS AND STILL NO ANSWER. MY TEACHERS ARE OF NO HELP EITHER. I WILL MARK BRAINLIEST.
Answer:
1.) The Remainder Theorem states that if a polynomial is divided by (x – a), the remainder is the value of the function at a. So, if (x – a) is a factor of P(x), then P(a) = 0. Determine whether the given binomial is a factor of the polynomial P(x).
2.) if there is a remainder then it is not a factor
3.) x-2 divided by x^3+5x^2-2x+9
across you have
×
2 1 5 -2 9
+ 2 14 24
__________________
1 7 12 33
your remainder is 33 so x-2 is not a factor of x^3+5x^2-2x+9
I hope this is good enough:
what is 2/9 = 4/x+8 i dont get this fraction solving
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{2}{9} = \frac{4}{x + 8} \\ [/tex]
[tex] \frac{4}{x + 8} = \frac{2}{9} \\ [/tex]
Inverse both sides
[tex] \frac{x + 8}{4} = \frac{9}{2} \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\ [/tex]
[tex]x + 8 = 2 \times 9[/tex]
[tex]x + 8 = 18[/tex]
Subtract sides 8
[tex]x + 8 - 8 = 18 - 8[/tex]
[tex]x = 10[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
how do i rewrite 14/32 to make it the simplist
Answer:
You would need to divide "14/32" by 2, since 2 in this problem is your "gcf" so:
14 / 2 = 7
32 / 2 = 16
So, it's 7/16.
Answer:
[tex]\frac{14}{32}[/tex] in its simplest form would be [tex]\frac{7}{16}[/tex]
Step-by-step explanation:
[tex]\mathrm{Find\:a\:common\:factor\:of\:}14\mathrm{\:and\:}32\mathrm{\:in\:order\:to\:cancel\:it\:out}\:[/tex] [tex]: 2[/tex]
[tex]\mathrm{Factor\:out\:}2\mathrm{\:from\:the\:numerator\:and\:the\:denominator}\\14=2\cdot \:7\mathrm{,\:\quad }32=2\cdot \:16\\=\frac{2\cdot \:7}{2\cdot \:16}\\[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{7}{16}\\\\[/tex]
hope this helps :)
I need the answer please and thank u!!!!
Answer:
x=55
Step-by-step explanation:
Ok I'm not sure about the theorem I thought it was just corresponding angles theorem but to get the x value set up an equation with your given info that is equal to 120.
2x+10=120
Subtract 10 from both sides.
2x=110
Divide both sides by 2.
x=55
Which of the following rules represents the function graphed?
A.)f( x) = x + 2
B.)f( x) = x
C.)f( x) = x
Answer:
f(x) = x
Step-by-step explanation:
Name the zero(s) of f (x).
Answer:
(a, 0) and (b, 0)
General Formulas and Concepts:
Alg I
Zeros of a Quadratic FunctionReading a Cartesian GraphStep-by-step explanation:
We are looking for the zeros of f(x). The blue quadratic is the graph of f(x). Zeros mean the coordinates when the graph crosses the x-axis. Therefore, our correct answer is the last choice.
what is the parallel slope intercept form??
A student babysits and charges a flat fee of $4.00 just for travel to the residence and then $6.00 per hour for the evening. a. Write an equation for the relationship between d, the amount of dollars the student can earn in an evening and h, the amount of hours the student babysits.
Answer:
d = 4 + 6h
Step-by-step explanation:
Given that :
Travel charge = $4 flat fee
Hourly charge = $6 per hour
Amount of dollar student can earn in an evening = d
Amount of hours spent babysitting = h
d = travel charge + (hourly charge * amount of hours)
d = $4 + ($6 * h)
d = 4 + 6h
PLEASE HELP!!!
The value of a car decreases by 20 percent per year. Mr. Sing purchases $22,000 automobile. What is the value of the car at the end of the second year?
A)14,080
B)17,600
C)19,800
D)26,400
Answer:
A)
Step-by-step explanation:
solve this equation
-54= 6(x-6)
Answer:
x = -3
Step-by-step explanation:
[tex]-54= 6(x-6)\\\\-9=x-6\\\\x=-3[/tex]
Answer:
x=-3
Step-by-step explanation:
-54= 6(x-6)
switch sides = 6(x-6)=-54
divide both sides by 6 =x-6=-9
add 6 to both sides = x=-3
x=-3
I need helpp! Somebody please help me ! Work is hard
1. 9.48
2. 11.1
3. 5.65
4. 26.45 or 26.4
Can Someone Please Help Me.
Answer:
I believe they are 5 and 7
Step-by-step explanation:
Answer:
5 and 7
Step-by-step explanation:
those numbers are used with the variable 5x and 7x
Map of the Aquarium at the City Zoo A triangle with points whales, sharks, and dolphins. The distance from whales to sharks is 18 feet and whales to dolphins is 27 feet. A triangle with points dolphins, stingrays, and penguins. The distance from dolphins to stingrays is 42 feet and from stingrays to penguins is x feet. The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet
Answer:
Its 28
Step-by-step explanation:
Answer:
the answer is 28 feet.
Step-by-step explanation:
the slope of 4 and line passes through the point (-3, 1)
PLEASE HELP WILL GIVE ALL POINTS AND GIVE BRAINLIEST.
I tried my best and I think this is right?
find the simple interest paid
$4500, 9%, 3.5 years
Step-by-step explanation:
Principle (P) =$4500
Rate(R) =9%
Time(T)=3.5yrs
We know,
SI=P×T×R/100
=4500×3.5×9/100
=$1417.5
How to convert 1 euro to php peso?
And can you explain. Advance Thank you
Answer with Explanation:
Euro is the currency of some countries in the European Union like Germany, France, Greece, Estonia, etc.
Php refers to Philippine peso. This is the currency used in the Philippines.
In order to convert Euro to Php, you have to check the value of 1 Euro in comparison to Php. The value is not stable and it fluctuates depending on the economic situation of the country.
The value of 1 Euro (€1) as of today is ₱57.03 (you can check this online or on the newspaper).
Let's say you want to convert €5 to ₱ . You can do this:
€5 x [tex]\frac{57.03 pesos}{1 Euro}[/tex] = ₱285.15 (therefore, 5 Euros is equivalent to ₱285.15)
Always remember to check the value of one currency to another currency in order to arrive at a correct equivalent.
If a $3,500 investment earns $210 over 3 years, what is the annual rate?
Answer:
The annual rate of interest is 2 %
Step-by-step explanation:
Given as :
The investment amount = $ 3,500
The Interest earn on investment = $ 210
The time period = 3 years
Let The annual interest rate = R
From simple interest method :
Simple Interest =
Or, 210 × 100 = 3500 × R × 3
Or, R =
Or, R = = 2
Hence The annual rate of interest is 2 % Answer
hope this helped :)
What is the slope of the line of best-fit in the scatterplot below?
A. 9/27
B. 3/7
C. 7/3
D. 27/9
please help me ;-; Evaluate the following exponentials at the given values
Given f(x)=5^x-3, find f(5)
Answer:
Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122
Step-by-step explanation:
We need to evaluate [tex]f(x)=\{5^x\}-3[/tex] when f(5)
Finding f(5) we need to put x=5
[tex]f(x)=\{5^x\}-3\\x=5\\f(5)=\{5^5\}-3\\f(5)=3125-3\\f(5)=3122[/tex]
So, f(5)=3122
Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122
Somebody please help..I really need it..please I’ve put this question over and over.. please don’t “answer” it and put advice or random answers if you are gonna answer it please actually answer it..please I really need help with this :(
9514 1404 393
Answer:
1: 208
10: 296
30: 649
Step-by-step explanation:
A scientific or graphing calculator can compute these values for you. A spreadsheet works well, too.
524800 in scientific notation?
Answer:
5.248 x 10^5
Step-by-step explanation:
there should be one digit and then however many decimals after. the exponent is positive because the original number is larger than one's digit.
Show solving steps for x^2-10x +4=12
Answer:
Step-by-step explanation:
We are given
[tex]x^2 - 10x + 4 = 12\\[/tex]
get it all to one side equaling zero
[tex]x^2 - 10x - 8 = 0[/tex]
now, we want to find the factors of 8 that either add up to of have a difference of 10
Factors of 8:
[tex]1, 8, 2, 4[/tex]
None of the factor pairs add up to or have a difference of 10.
So, we can use the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x = \frac{10\pm\sqrt{100-4*8} }{2}\\x = \frac{10\pm\sqrt{132} }{2}\\\\\\x = \frac{10 + \sqrt{132} }{2}= 10.74456265\\x = \frac{10 - \sqrt{132} }{2} = -0.7445626465[/tex]
Which statements are true about points A, B, and C? Check all that apply. The coordinates of point A are (3, –3). The coordinates of point B are (1, –3). The coordinates of point C are (–2, 2). Point C is the closest to the y-axis. Points A and B are the same distance from the x-axi.
Answer:
B and E
Step-by-step explanation:
got it right on quiz in Edge 2020 :)
have a good day!!!
Answer:
b and e
Step-by-step explanation:
Help will give brainliest!!
Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)
Answer:
640u
2
−492u+55
Step-by-step explanation:
notsure
Match the two numbers with their least common multiple (LCM).
8 and 4 = [?] (what it says) 8, 40, 24
8 and 4 = [?] (what it says) 8, 40, 24
8 and 10 = [?] (what it says) 8, 40, 24
Answer:
8 and 4 = 8
8 and 10 = 40
Step-by-step explanation:
The least common multiple is the smallest value that both numbers equal when you look at their multiples.
The multiples of 8 are 8, 16, 24, 32, 40...
The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32...
The multiples of 10 are 10, 20, 30, 40...
The first multiple 8 and 4 have in common is 8.
The first multiple 8 and 10 have in common is 40.