Find the value of x
Show work
The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.
How can you tell if a perspective is supplemental or complementary?Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.
What is the name for a 270 degree angle?Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.
Since it is a right angle triangle,
hence
[tex](2x+1)+29=90\\2x+1=61\\2x=60\\x=30[/tex]
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What is the sum of the infinite geometric series?
16 minus 12 plus 9 minus twenty-seven fourths plus continuing
four thirds
twenty-five fourths
forty-eight sevenths
sixty-four sevenths
The solution is Option D.
The sum of the infinite geometric progression is S = ( 64/7 )
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the sum of the geometric progression be represented as S
Now , the equation will be
S = 16 , -12 , 9 , -( 27/4 ) ...
The sum of the infinite GP is S = a / ( 1 - r ) , where r is the common ratio
Substituting the values in the equation , we get
a₁ = 16
a₂ = -12
So , the common ratio r = a₂ / a₁
The common ratio r = -3/4
Substituting the values in the equation , we get
The sum of the infinite GP is S = a / ( 1 - r )
The sum of the infinite GP is S = 16 / ( 1 - ( -3/4 ) )
The sum of the infinite GP is S = 16 / ( 1 + 3/4 )
The sum of the infinite GP is S = 16 / ( 7/4 )
The sum of the infinite GP is S = ( 16 x 4 ) / 7
The sum of the infinite GP is S = ( 64/7 )
Hence , the sum of GP is ( 64/7 )
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Look at the image below:
Answer:
Last choice
Step-by-step explanation:
There are two ways to solve this problem.
1. Simplify both fractions
2. Cross multiply (If a/b = c/d, then ad = bc)
Now for the answer choices:
1. 5/7 is less than one while 7/5 is greater
2. 3/12 = 1/4, which is not equal to 3/4
3. 16/20 = 4/5, while 15/25 = 3/5
4. 6/9 = 2/3, and 10/15 also equals 2/3.
Answer:
6 / 9 and 10 / 15
Step-by-step explanation:
Hope this helps :)
help please im a 4th grader and my homework due in 3 days 23948 plus 92374 please please
Answer: 116322
Step-by-step explanation:
23948+92374= 116322
5 divided by 206 Using long division
Answer:
Five divided by 206 is 0.02426
Answer:
41.2
Step-by-step explanation:
AB
has endpoint A(-3,-5)A(−3,−5) and midpoint M(2,-1)M(2,−1).
Find the coordinates (x,y)(x,y) of BB.
The coordinates of point {B} would be (7,3).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the point A(-3,-5) and its midpoint M(2,-1).
We can write as -
2 = (- 3 + x)/2
x - 3 = 4
x = 7
- 1 = (- 5 + y)/2
y - 5 = - 2
y = 3
Therefore, the coordinates of point {B} would be (7,3).
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What is the standard form of the following equation?
y= -3x+2
3x+y=2
y-2=-3x
y-3x=2
3x-y=2
Answer:
(a) 3x +y = 2
Step-by-step explanation:
You want the equation y = -3x +2 written in standard form.
Standard formThe standard form of a linear equation is ...
ax +by = c
where a, b, c are mutually prime integers with a ≥ 0. If a=0, then b > 0.
To put the given equation into that form, we can add 3x to both sides:
3x +y = 3x -3x +2
3x +y = 2
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S - 1.3x = 5.5 . gives the amount of sales (S) of statin in billions of dollars x years after 1998. According to this equation, how much will/did people in the U.S. spend on statins in the year 2018?
The equation expressing the relationship between the amount of sale of statin, x years after 1998, S - 1.3·x = 5.5, indicates that the amount spent on statin in 2018 is $31,500,000,000
What is an equation?An equation expresses the relationship of equivalence between values or variables.
The equation that gives the amount of statin in billions of dollars is presented as follows;
S - 1.3·x = 5.5Where;
S = The amount of sale of statin in billions of dollars
x = The number of years after 1998
The amount people in the U.S. will/did spend on statins in 2018 is found as follows;
S = 1.3·x + 5.5
In 2018, x = 2018 - 1998 = 20
Therefore;
S = 1.3 × 20 + 5.5 = 31.5
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X
Laura had had enough of Nelly's arrogance and bragging.
She pushed Nelly into the creek. She knew the creek was
filled with leeches.
A. Laura was tired of Nelly's arrogant bragging, so she pushed Nelly
into the creek, even though she knew it was full of leeches.
B. Laura pushed Nelly into the leech-filled creek. This action was
because Laura was sick of Nelly's bragging.
C. Although Laura knew the creek was full of leeches, she pushed
Nelly in anyway. Laura was tired of Nelly's arrogance and bragging.
D. None of the above
If you don’t get this right I’m gonna come to your house Kaydence and beat you up
Answer:
C
Step-by-step explanation:
The correct answer is C. Although Laura knew the creek was full of leeches, she pushed Nelly in anyway. Laura was tired of Nelly's arrogance and bragging.
Andre took 6 kicks and made 4 goals:4
6 . Tom wants to take more than 20
kicks and make an equivalent fraction to Andre. What are two possible
fractions of goals Tom can make?
Answer:
Andre's fraction of goals made to kicks taken is 4/6 or 2/3.
For Tom to make an equivalent fraction, he needs to make 4 goals out of a larger number of kicks than 6.
Two possible fractions for Tom would be 8/20 or 12/30. These both reduce to 2/5, which is equivalent to Andre's 2/3.
Write y=kx of any linear equation that goes through the origin and has a negative slope
The inverse relationship between the two variables is indicated by a negative slope. In this case, the y value falls as the x value rises. As an alternative, we may see that the y value rises as the x value falls.
What does a negative slope through the origin mean?You can tell if (0,0) is on the line if it crosses the origin. It is known that a line has a slope of m=0.5 if it is perpendicular to the equation y=2x+3. This is the slope's negative reciprocal. Using the provided information, solve for y=0.5x+b to get the answer.
Can the slope of a linear function be negative?A graph with a negative slope and a left-to-right tilt is produced by a declining linear function.
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True or False: 8/11 < 12/17 .
Answer:true
Step-by-step explanation:
This table gives a few
(
x
,
y
)
(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
x
xx
y
yy
32
3232
22
2222
48
4848
17
1717
64
6464
12
1212
What is the
y
yy-intercept of the line?
The y intercept of the line passes through the point (32, 22) and (48, 17) is 32
What is an equation?An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.
The standard form of a linear equation is:
Ax + By = C
Where A, B and C are constants
The slope intercept form of a linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:
m = (y₂ - y₁) / (x₂ - x₁)
The table shows that the line passes through the point (32, 22) and (48, 17). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-22=\frac{17-22}{48-32} (x-32)\\\\y=-\frac{5}{16}x+32[/tex]
The y intercept is 32
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Answer:
The y intercept of the line passes through the point (32, 22) and (48, 17) is 32
I need a bat a hit ball with this sport
I need a bat a hit ball with this sport.
The word "sport" refers to Baseball game.
About BaseballBaseball is a team ball game played by two teams, namely the pitcher team and the batter team. The game begins when the pitcher throws the ball to the batter who is called the batter. Baseball is almost the same as softball, but the size of the tools used and the fields are different.
Baseball is included in small ball games and is often included in sports lessons at school. In order to play proper baseball, there are several rules that need to be observed. In addition, the complete protection needs to be met so that players can avoid injury.
Baseball game was first created in Coperstown, New York in 1883 by Abner Doubleday. But the first baseball rules made in 1845 by Alexander J. Cartwright.
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Work out the following sheet please
So for question 24:
x = 47 degrees.
Triangles angles add to 180 degrees so 43 + 90 + 37 = 180.
y = 180 degrees.
A straight line is 180 degrees.
-------------------------------------------------------------------------------------------------------------
Question 25:
x = 53 degrees.
X is similar to the angle that says 53 degrees.
y = 78 degrees.
180 - 49 - 53 - 79
-------------------------------------------------------------------------------------------------------------
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Find the average rate of change of g(x) = 2x² + on the interval [-1,2]
Answer:
Below
Step-by-step explanation:
Interval is -1 to 2 = 3 units
value at -1 2(-1)^2 = 2
value at 2 2 (2^2) = 8
(8-2) / 3 = 6/3 = 2 /unit rate of change
3 less than or equal to symbol y - 2
We can write the mathematical inequality as 3 ≤ (y - 2).
What is inequality?Inequality in mathematics is a relation that is used to compare two or more expressions in mathematics. For example -
(ax + b) > (cx + d)
kx < 6
Given is the inequality statement as -
"3 less than or equal to symbol y - 2"
Mathematically, we can write the inequality statement as -
3 ≤ (y - 2)
Therefore, we can write the mathematical inequality as 3 ≤ (y - 2).
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Solve the system of equations by substitution. Show your work.
y = 2x - 1
6x - 2y = 24
Answer:
x = 11
y = 21
Step-by-step explanation:
1. y = 2x-1
2. 6x-2y = 24
lets plug in the value of y from the first equation, into the second
6x - 2(2x-1) = 24
6x - 4x + 2 = 24
2x + 2 = 24
2x = 22
x = 11
lets plug in x to the first equation to find y
y = 2(11)-1
y = 22-1
y = 21
Answer:
x = 11
y = 21
Step-by-step explanation:
y = 2x - 1;
6x - 2y = 24
y = 2x - 1
3x - y = 12
y = 2x - 1
3x - (2x - 1) = 12
y = 2x - 1
x + 1 = 12
y = 2x - 1
x = 11
y = 2(11) - 1
x = 11
y = 21
x = 11
-6 square root -9 complex number
The square root -6 -9 in complex number notation is √6i - 9
What are complex numbers?A complex number is a number of the form a + bi, where a and b are real numbers.
Given that, rewrite square root -6 -9 in complex number notation
We know that, the principal square root of a negative number is a positive number times i.
Therefore,
√-6 = √6i
Therefore, the mathematical notation will be
√6i - 9
Hence, the square root -6 -9 in complex number notation is √6i - 9
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PLEASE HELP QUICK HURRY!!!!!
1. What is the domain of the equation?
2. What is the range of the equation? (Same graph)
Guys please help me
The domain of the equation is equal to: B. all real numbers.
The range of the equation is equal to y ≥ -4 or {-4, ∞}.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = {-∞, ∞} or all real numbers.
Range = {-4, ∞} or {y|y ≥ -4}.
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Find the number of solutions to match the equation Each solution is only used once.
The number of solutions each equation has are one solution, No solution, Infinitely many solutions.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
-1/2(12x-2)=-6x-1
1/2 (12x − 4) = 6x - 2
1/2 (12 x − 2) = −6x - 2
Now
-1/2(12x-2)=-6x-1; one solution
1/2 (12x − 4) = 6x - 2; No solution
1/2 (12 x − 2) = −6x - 2; Infinitely many solutions
Therefore, the solutions of the equations will be one solution, No solution, Infinitely many solutions.
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while looking at some reports, a store manager notes that sweaters that retail for $10 end up costing customers %10.90 once the sales tax is added. what is the sales tax percentage?
Let's call the sales tax rate as t (in decimal form).
The cost of a $10 sweater with the sales tax included is $10 + $10 * t = $10.90.
We can set up an equation to solve for t:
$10 * t = $0.90
Dividing both sides by $10:
t = 0.09
So the sales tax rate is 0.09, which is equivalent to 9%.
The length of a rectangle is 2 meters less than twice its width. If the
perimeter of the rectangle is 92 meters, find the measure of the length and width
of the rectangle.
In the rectangle, the measure of the length is 30 meter and width is 16 meter,
.
What is a rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. The length and breadth are the two dimensions that define a rectangle. The rectangle's longer side is its length, while its shorter side is its breadth.
Let the width of the rectangle is x meter, than the length of the rectangle is 2x-2.
Perimeter of rectangle = 2*(length + width)
⇒ 92 = 2*(2x-2 + x)
⇒ 92 = 2*(3x-2)
⇒ 92 = 6x - 4
add 4 in both side
⇒ 92 + 4 = 6x
⇒ 96 = 6x
divide oth side by 6
⇒ x = 96/6
⇒ x = 16
So the width of rectangle is 16 meter
The length of the rectangle = 2x-2
⇒ The length of the rectangle = 2*16-2
⇒ The length of the rectangle = 32-2
⇒ The length of the rectangle is 30
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A number cube is tossed 60 times.
Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8
Determine the experimental probability of landing on a number less than 2.
35 over 60
25 over 60
13 over 60
12 over 60
Answer:
12 over 60
Step-by-step explanation:
The experimental probability of landing on a number less than 2 can be calculated by counting the number of times the outcome was 1, which is 12, and dividing it by the total number of trials, which is 60.
So, the experimental probability is 12/60 = 1/5 = 12 over 60.
Answer: 12 over 60
Step-by-step explanation:
Step 1: Count the number of times a number less than 2 was landed on.
Answer: 12
Step 2: Count the total number of times the number cube was tossed.
Answer: 60
Step 3: Divide the number of times a number less than 2 was landed on by the total number of times the number cube was tossed.
Answer: 12 over 60
Final Answer: 12 over 60
State if the triangles in each pair are similar. If so, state how you know they are similar
and complete the similarity statement.
BCD~____
A) similar; SAS similarity; ABML
C) similar; AA similarity; ABML
B) not similar
D) similar; SAS similarity; ABLM
Triangle BCD and triangle BML are similar by AA similarity. Therefore, option C is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure, ML║CD.
Consider ΔBCD and ΔBML
Here, ∠M=∠C (Corresponding angles are equal)
∠L=∠D (Corresponding angles are equal)
By AA similarity, ΔBCD ~ ΔBML
Therefore, option C is the correct answer.
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Simplify
4c^2+6c-3c^2-2c-3
Answer:
c^2+4c-3
Step-by-step explanation:
(4c^2-3c^2)+(6c-2c)-3 = c^2+4c-3
Ricardo is half as likely to spin a 2 or 4 then an odd number
Answer: its either 6, 8, 2 or 8, 2. I don't know its one of these. bc ill show u how I got these.
Step-by-step explanation:
this could be:
plus,
times,
subtract,
or divide.
Match the polynomial on the left with the appropriately factored expression on the right.
x² + 6x +9. x²-9
(x - 3)(x-3)
(x-3)(x + 3)
(x+3)(x + 3)
3(x+3)(x + 3)
The polynomials that match with other equivalent expressions are :(a) → (iii), (b) → (ii), (c) → (iv), (d) → (i)
Match the polynomial on the left ?Consider the polynomials,
(a) 4x² + 18x (i) 2x(2x + 1)
(b) 4x² + 2x + 18x +9 (ii) (2x + 1)(2x +9)
(c) (2x + 3)(2x + 3) (iii) 2x(2x + 9)
(d) 4x² + 2x (iv) 4x² + 12x + 9
Now,
Consider the polynomial 2x(2x + 1),
2x(2x + 1) = 2x(2x) + 2x(1)
2x(2x + 1) = 4x² + 2
Therefore, (d) is equal to (i).
Consider the polynomial 2x(2x + 9),
2x(2x + 9) = 2x(2x) + 2x(9)
2x(2x + 9) = 4x² + 18x
Therefore, (a) is equal to (iii).
Consider the polynomial (2x + 1)(2x +9) ,
(2x + 1)(2x +9) = (2x)(2x) + (2x)(9) + (2x)(1) + 9
(2x + 1)(2x +9) = 4x² + 18x + 2x + 9
Therefore, (b) is equal to (ii).
Consider the polynomial (2x + 3)(2x + 3),
(2x + 3)(2x + 3) = (2x)(2x) + (2x)(3) + (3)(2x) + 9
(2x + 3)(2x + 3) = 4x² + 12x + 9
Therefore, (c) is equal to (iv).
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If f(x) is an odd function, which statement about the graph of f(x) must be true?
A) It has rotational symmetry about the origin.
B) It has line symmetry about the line y = –x.
C) It has line symmetry about the y-axis.
D) It has line symmetry about the x-axis.
The correct statement about an odd function is:
B) It has line symmetry about the line y = –x.
Which statement is true about the graph of f(x)?
Here we know that the function f(x) is an odd function, then we know that:
f(x) = -f(-x)
So, if we change the sign of the argument, we also change the sign of the of the output of the function, then there will be symmetry around the line:
y = -x
Then the correct option is B;
It has line symmetry about the line y = –x.
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1 point A function contains 6 ordered pairs. Five of the ordered pairs are shown below, identify the correct ordered pair that belongs to this set. ((15,21), (17,26). (21,37), (25,40), (30,45), and choose your answer...
The ordered pair that completes the function is (0, 0)
How to determine the ordered pairFrom the question, we have the following parameters that can be used in our computation:
((15,21), (17,26). (21,37), (25,40), (30,45)
Missing pair = 1
Total pairs = 6
For a relation to be a function, the x values must point to different y values
This means that the pair (0, 0) can complete the function
This is so because it does not stop the relation from being a function
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