In the figure below, m1 =x and m2= x-8. Which statement could be used to prove that x =49?
Answers
Answer:
C. m∠1 +m∠2 = 90
Step-by-step explanation:
Related Questions
Can u answer these for me with the work shown
Answers
Answer:
[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]
[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]
[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]
[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]
[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]
[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]
Step-by-step explanation:
Required
Simplify
Solving (1):
[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}[/tex]
Factorize the numerator and the denominator
[tex]\frac{x^2(x + 2) -9(x+2)}{x(x^2-x-6)}[/tex]
Factor out x+2 at the numerator
[tex]\frac{(x^2 -9)(x+2)}{x(x^2-x-6)}[/tex]
Express x^2 - 9 as difference of two squares
[tex]\frac{(x^2 -3^2)(x+2)}{x(x^2-x-6)}[/tex]
[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-x-6)}[/tex]
Expand the denominator
[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-3x+2x-6)}[/tex]
Factorize
[tex]\frac{(x -3)(x+3)(x+2)}{x(x(x-3)+2(x-3))}[/tex]
[tex]\frac{(x -3)(x+3)(x+2)}{x(x+2)(x-3)}[/tex]
Cancel out same factors
[tex]\frac{(x+3)}{x}[/tex]
Hence:
[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]
Solving (2):
[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2}[/tex]
Expand the numerator and factorize the denominator
[tex]\frac{3x^2 - 6x + x - 2}{x^2(x- 2)}[/tex]
Factorize the numerator
[tex]\frac{3x(x - 2) + 1(x - 2)}{x^2(x- 2)}[/tex]
Factor out x - 2
[tex]\frac{(3x + 1)(x - 2)}{x^2(x- 2)}[/tex]
Cancel out x - 2
[tex]\frac{3x + 1}{x^2}[/tex]
Hence:
[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]
Solving (3):
[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}[/tex]
Express x^2 - 9 as difference of two squares
[tex]\frac{6 - 2x}{x^2 - 3^2} * \frac{15 + 5x}{4x}[/tex]
Factorize all:
[tex]\frac{2(3 - x)}{(x- 3)(x+3)} * \frac{5(3 + x)}{2(2x)}[/tex]
Cancel out x + 3 and 3 + x
[tex]\frac{2(3 - x)}{(x- 3)} * \frac{5}{2(2x)}[/tex]
[tex]\frac{3 - x}{x- 3} * \frac{5}{2x}[/tex]
Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]
[tex]\frac{-(x-3)}{x- 3} * \frac{5}{2x}\\[/tex]
[tex]-1 * \frac{5}{2x}[/tex]
[tex]-\frac{5}{2x}[/tex]
Hence:
[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]
Solving (4):
[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x}[/tex]
Expand x^2 - 6x + 9 and factorize 5x - 15
[tex]\frac{x^2 -3x -3x+ 9}{5(x - 3)} / \frac{5}{3-x}[/tex]
Factorize
[tex]\frac{x(x -3) -3(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]
[tex]\frac{(x -3)(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]
Cancel out x - 3
[tex]\frac{(x -3)}{5} / \frac{5}{3-x}[/tex]
Change / to *
[tex]\frac{(x -3)}{5} * \frac{3-x}{5}[/tex]
Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]
[tex]\frac{(x -3)}{5} * \frac{-(x-3)}{5}[/tex]
[tex]\frac{-(x-3)(x -3)}{5*5}[/tex]
[tex]\frac{-(x-3)^2}{25}[/tex]
Hence:
[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]
Solving (5):
[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}[/tex]
Factorize the numerator and expand the denominator
[tex]\frac{x^2(x - 1) -1(x - 1)}{x^2 - x-x+1}[/tex]
Factor out x - 1 at the numerator and factorize the denominator
[tex]\frac{(x^2 - 1)(x - 1)}{x(x -1)- 1(x-1)}[/tex]
Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator
[tex]\frac{(x +1)(x-1)(x - 1)}{(x -1)(x-1)}[/tex]
[tex]x +1[/tex]
Hence:
[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]
Solving (6):
[tex]\frac{9x^2 + 3x}{6x^2}[/tex]
Factorize:
[tex]\frac{3x(3x + 1)}{3x(2x)}[/tex]
Divide by 3x
[tex]\frac{3x + 1}{2x}[/tex]
Hence:
[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]
Solving (7):
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x}[/tex]
Change / to *
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]
Expand
[tex]\frac{x^2-2x-x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]
Factorize
[tex]\frac{x(x-2)-1(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]
[tex]\frac{(x-1)(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]
Cancel out x - 2 and x - 1
[tex]\frac{1}{4x} * \frac{12x^2}{x} * \frac{x}{1}[/tex]
Cancel out x
[tex]\frac{1}{4x} * \frac{12x^2}{1} * \frac{1}{1}[/tex]
[tex]\frac{12x^2}{4x}[/tex]
[tex]3x[/tex]
Hence:
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]
A rectangular garden has a length of 8 feet and a width of 5 feet. The entire garden
is surrounded by walkway of uniform width. What does the algebraic expression
(2w+8)(2w+5) represent in this context?
A. the area of the garden only
B. the total area of the garden and walkway
C. the perimeter of the garden only
D. the perimeter of the walkway only
Answers
Answer:
b
Step-by-step explanation:
A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
Find the experimental probability of landing on a 2.
12
Answers
Answer:
1/6 times the number cube wil land on 2
Step-by-step explanation:
Solve for x : 80 + x = 100 - 14
Answers
Answer:
x=6
Step-by-step explanation:
100-14=86
86-80=6
Nina uploaded a funny video on her website, which rapidly gains views over time.
The relationship between the elapsed time, ttt, in days, since Nina uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function:
V(t)=500⋅(1.8)t
Complete the following sentence about the daily percent change in the views of the video.
Answers
Answer: 80% views are added
Step-by-step explanation:
The required daily percent change in the views of the video is 50%.
Nina uploaded a funny video on her website, the relationship between the elapsed time t, and number of views. V(t) is V(t)=500⋅(1.8)t.
What is rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
V(t)=500⋅(1.8)t
The slope of the given relationship will describe the the daily percent change in the views of the video i.e.
m = 500*1.8
m = 900
since the rate of increase in views in each day is by 900.
Now the percentage change per day.
= 900/1800 x 100
= 50 %
Thus, the required daily percent change in the views of the video is 50%.
Learn more about rate of change here: https://brainly.com/question/13103052
#SPJ2
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DIVIDING EXPONETS
Answers
I can’t seem to do the symbols here so the answer is in the picture.
Answer:
[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]
Step-by-step explanation:
To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).
Hope it helps and is correct!
If you answer correctly I will give you brainlest 5 stars and a thank you
A baseball field has four bases that form the shape of a quadrilateral. If someone invented a
new game similar to baseball that had four extra bases in the field, what type of polygon would
the bases form?
Apentagon
Boctagon
Chexagon
Ddecagon
Answers
4 bases plus 4 more makes 8, an octagon has 8 sides.
pls help its due now
Answers
Answer:
$2.25 is the cost of one pretzel
Step-by-step explanation:
6p/13.50
p=2.25
HELP PLEASE! ( number 7 btw ) please help this if half of my grade
Answers
Answer:
A,B,&E are definitely 7 or more
180:60 in its simplest form
Answers
Step-by-step explanation:
here is it your
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
It takes Diego 130 of an hour to complete a lap on a circular bike track. The track is 15 mile long. What is Diego’s bike speed?
Answers
Answer:
8 2/3 per mile
Step-by-step explanation:
130 / 15 = 8 2/3
Hope that helps!
A family smoothie recipe calls for strawberry juice and apple juice. This equation represents the proportional relationship between the number of cups of strawberry juice (s) and apple juice (a) in the recipe.
Answers
Answer:
21
Step-by-step explanation:
21 divided by 7 is three: to the third power of 11 so your answer is 21, I think
HELP 69pts Which comparison is true?
A. 4
B. 4.5 < 718 < 5
C. 8.5 < V18 < 9.5
D. 17 < 118 < 19
Answers
Answer: C
Step-by-step explanation:
Option A is true comparisons among the given option as the number are in increasing order A. 4 < √18 < 4.5 .
To determine if this is true, let's calculate the square root of 18:
√18 ≈ 4.2426
Substituting the value into the comparison:
4 < 4.2426 < 4.5
This statement is true because 4 is indeed less than 4.2426, and 4.2426 is less than 4.5. Therefore, Option A is true.
B. 4.5 < √18 < 5
Option B states that 4.5 is less than the square root of 18, and the square root of 18 is less than 5. We have already determined the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:
4.5 < √18 < 5
This statement is also true because 4.5 is not less than 4.2426, and 4.2426 is less than 5. Therefore, Option B is not true.
C. 8.5 < √18 < 9.5
Option C states that 8.5 is less than the square root of 18, and the square root of 18 is less than 9.5. We have already established the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:
8.5 < √18 < 9.5
This statement is false because 8.5 is not less than 4.2426. Therefore, Option C is not true.
D. 17 < √18 < 19
Option D states that 17 is less than the square root of 18, and the square root of 18 is less than 19. Evaluating this comparison:
17 < √18 < 19
This statement is true because 17 is not less than 4.2426, and 4.2426 is less than 19. Therefore, Option D is not true.
In conclusion, among the given options, Option A is true comparisons:
A. 4 < √18 < 4.5
To know more about comparison click here :
https://brainly.com/question/29072830
#SPJ2
Which comparison is true?
A. 4 <√18 < 4.5
B. 4.5 < √18 < 5
C. 8.5 < √18 < 9.5
D. 17 < √18 < 19
find the
value of
x if
3^x=3^2020+3^2017/3^2017+3^14
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A square has diagonal length 13 m. What is the side length of the square, to the
nearest hundredth of a meter?
Answers
It would be very appreciated mister
Answers
Steps are on paper.
tan^2 30 +tan ^2 45+tan^2 60
Answers
Step-by-step explanation:
tan 30 = 1/√3tan 45 = 1tan 60 = √3 = tan² 30 + tan² 45 + tan² 60 = ( 1 /√3 )² + ( 1 )² + ( √3 )² = ( 1 / 3 ) + ( 1 ) + ( 3 ) = ( 1 + 3 + 9 ) ÷ 3 = 13 ÷ 3 = 4.333MARK ME AS BRAINLIST89+67
berapakah jawapan nya
Answers
Answer:
156
Step-by-step explanation
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Answer:
Jawapan kepada 89 + 67 = 156
Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.
Answers
Step-by-step explanation:
tsa= total surface area
csa=curved surface area
answer is in the picture
Question 1 of 5
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for tt.
A. 18.84 ft
B. 28.26 ft
C. 37.68 ft
D. 9.42 ft
Answers
Answer:
The answer is A. 18.84
Step-by-step explanation:
Hope this helps =)
Spencer and Hanna buy a pizza for $18 that is half pepperoni and half veggie. They cut the pizza into 8 slices.
If Spencer likes veggie four times as much as pepperoni, what is the value of a slice that is all veggie?
Answers
Answer:
they needa buy me a beer
Step-by-step explanation:
pls help me plssssss
Answers
Answer:
1
Step-by-step explanation:
It's the correct spelling.
a-3.2=5.5 what does a equal??
Answers
Answer:
2.3
EDIT ITS 8.7 SEE THIS IS WHY YOU CANT TRUST ME
Step-by-step explanation:
Answer:
8.7
Step-by-step explanation:
just add 5.5 and 3.2
Find the value of x. Round your answer to the nearest whole degree.
Answers
Answer:
68°
Step-by-step explanation:
arctan(x) = 5/2
A triangle is translated by using the rule (x,y) (x-4,y+1). Which describes how the figure is moved?
Answers
Answer:
four units left and one unit up
Step-by-step explanation:
this is because x is always horizontal and y is always vertical
FIND THE DOMAIN AND RANGE!!!!
Answers
Which of the following answers would have
no solution?
X=3
5=3
2=2
Answers
Answer:
no entiendo me explican que significa por fa
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain?
Answers
Answer:
4 grams
Step-by-step explanation:
Find how many grams of sugar are in each mixture:
10(0.15)
= 1.5
25(0.1)
= 2.5
Add these together:
1.5 + 2.5 = 4
So, the mixture contains 4 grams of sugar
just answer please hurry
Answers
Answer:
2.7 pages and 1.7 pounds of rice
Step-by-step explanation:
2.7 pages in one minute because 27/10=2.7
and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7
What is the missing value in the image above? *
Answers
Answer:
8
Step-by-step explanation:
because there is nothing to subtract 8 from
