Answers
Answer:
x = 93°
Step-by-step explanation:
The angles on a triangle always add up to 180°.
We only know two of the angles: 35° and 58°, to find the third, we need to add those two up and subtract them from 180 like so:
180-(35+58)
which then equals:
87°
Now, a line is 180° so substract 87° from 180° and you get 93°
x = 93°
All you actually had to do was add 35 and 58 to get the answer but for the purpose of showing you how exactly everything works I did some extra steps.
Related Questions
Suppose the line contains the points (4,0) and (0,-2). If x = 3, find y.
Answers
The line which contains the points (4,0) and (0,-2), value of y when x =3 is, -1/2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ = y₂-y₁/x₂-x₁(x-x₁).
Given that,
The points, (4,0) and (0,-2)
Equation of line for given two points,
y-y₁ = y₂-y₁/x₂-x₁(x-x₁)
y-0 = -2 - 0/0-4(x-4)
y = 1/2(x - 4)
2y = x - 4
when x = 3,
y = 1/2(3 - 4)
y = - 1/2
Hence, the value of y is -1/2
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graph the equation x+2y=4
Answers
The graph of the equation x + 2 y = 4 has been obtained.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
To graph an equation, we first need to calculate some points satisfying the equation.
We are given the equation: x + 2 y = 4
First we will find some points:
x 0 4 2
y 2 0 1
Now, we will plot these points on the graph as shown in the image.
Therefore, the graph of the equation x + 2 y = 4 has been obtained.
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what is the solution to this system of equation below
1/2x+3y=8
x+y=-8
Answers
Answer:
x=-64/5 and y=24/5
Step-by-step explanation:
1/2 x+3y=8 --------(i)
x+y=-8------------(ii)
from equation (ii), y=-8-x -------(iii)
substitute (iii) into (i)
1/2 x +3(-8-x)=8
1/2 x-24-3x=8
-5/2 x -24=8
-5/2 x= 8+24
-5/2 x= 32
-5x= 64
x=64/-5= -64/5
substitute x into (iii)
y=-8-(-64/5)
y= -8+64/5
y=(-40+64)/5
y=24/5
How do you find the distance between two points in Class 9?
Answers
We can use the distance formula d=((x2 - x1)² + (y2 - y1)²) to find the distance between the two points.
What is the distance?The total movement of an object, independent of direction, is its distance.
The amount of space that an object has traveled, regardless of where it started or ended, is referred to as distance.
We can determine an object's actual size by learning how far it is from us.
The area that an object occupies in the sky can be measured.
The distance to an object is then necessary to calculate its real size.
A thing appears smaller the farther it is away.
The length of the line segment bridging two points on a planar is known as the distance between both points.
d=((x2 - x1)² + (y2 - y1)²) is a popular method for determining the distance between two points.
Therefore, we can use the distance formula d=((x2 - x1)² + (y2 - y1)²) to find the distance between the two points.
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The table shows the heights y (in feet) of a baseball x seconds after it was hit. A table shows the seconds and height. The seconds, x, and height in feet, y, are as follows. 0, 3; 0. 5, 39; 1, 67; 1. 5, 87; 2, 99. A. Predict the height after 5 seconds. After 5 seconds, the height will be about ___ feet
Answers
After 5 seconds, the height will be about 65.5 feet.
One way to predict the height after 5 seconds is to use the equation of the line of best fit. The line of best fit is a line that best represents the relationship between the x and y values in the table.
To find the equation of the line of best fit, we can use the Least Squares Method.
Using the least squares method, we can calculate the slope of the line which is m=12.5, and the y-intercept which is b=3.
Therefore, the equation of the line of best fit is: y = mx + b
y = 12.5x + 3
We can use this equation to predict the height after 5 seconds by substituting x = 5 into the equation:
y = 12.5(5) + 3
y = 62.5 + 3
y = 65.5
So, after 5 seconds, the height will be about 65.5 feet.
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find a formula for a function that has vertical asymptotes x = 5 and x = 8 and horizontal asymptote y = 5.
Answers
The formula for a function that has vertical asymptotes is x=5 and x=8 and horizontal asymptote y=5 is f(x)=(5x²)/(x²-13x+40)
In order to find a function that fits the criteria given, you need to know how to find the asymptotes in the first place.
Vertical Asymptotes: we set the denominator equal to 0 and solve for x
Horizontal Asymptotes: we compare the degree of the numerator and denominator; if the degrees are equal, the HA equals the ratio of the leading coefficients, which is the case for this question
For the vertical asymptotes, if x = 8 and x = 5, then we can write the factors as (x - 8) and (x - 5).
For the horizontal asymptotes, if y = 5, the degree of the numerator and denominator are equal so the ratio of the leading coefficients must be 5/1.
f(x) = (5x²) / [(x-8)(x-5)] which can be rewritten as f(x) = (5x²) / (x2-13x+40)
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The square root of 28 is
Answers
Answer:
The answer is 5.29 or the longer answer is 5.29150262
a number 1-72 is chosen at random find each probability
P(odd or at most 16)
Answers
Probability to find a number odd or at most 16,
P(odd or at most 16) = 7/18
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given sample
Number 1 - 72
There are 36 odd numbers in between 1 to 72
Probability to find odd numbers P(odd) = 36/72 = 1/2
There are 16 numbers at most 16
Probability to find at most 16 P(at most 16)= 16/72 = 2/9
P(odd or at most 16) = P(odd) + P(at most 16) - P(odd and at most 16)
= 1/2 + 2/9 - (1/2 × 2/9)
= 1/2 + 2/9 - 2/18
= (9 + 4 - 2)/18
= 7/18
Hence, 7/18 is probability to find a number odd or at most 16.
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6x + y = -39
3× + 2y = -15
Answers
Answer: The solution to the system of equations is x = 7 and y = -2.
Step-by-step explanation:
The system of equations can be solved using substitution method.
First, solve one of the equations for one of the variables. For example, from the first equation, we can solve for x:
x = (-39 - y)/6
Substitute this value of x into the second equation:
3((-39 - y)/6) + 2y = -15
Solve the resulting equation for y:
-13 - y/2 + 2y = -15
y = -2
Substitute this value of y back into the equation we used to solve for x:
x = (-39 - (-2))/6
x = 7
The solution to the system of equations is x = 7 and y = -2.
How do you find the B in Y MX B with two points and slope?
Answers
To find the B in Y = MX + B with two points and slope, choose either the point (X₁, Y₁) and slope M, then B is given by an expression Y₁ - MX₁
The slope-intercept form of equation of line is y = mx + b
where m is the slope of the line and b is the y-intercept of the line.
We need to find the value of b i.e., y-intercept when the slope and a point is given.
We know that the equation of line with slope m and passing through point (x₁, y₁) is given by the formula
(y - y₁) = m(x - x₁)
If we have been given two points (lets say (x₁, y₁) and (x₂, y₂)) and a slope, then we use above point-slope form of equation of line by choising one of the point from (x₁, y₁) and (x₂, y₂)
For point (x₁, y₁) and slope m, we simplify equation.
(y - y₁) = m(x - x₁)
y - y₁ = mx - mx₁
y = mx + (y₁ - mx₁)
Comparing above equation with slope-intercept form we get the y-intercept ,
b = y₁ - mx₁
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According to the synthetic division below, which of the following statements
are true?
Check all that apply.
5 /4 -17 -15
20 15
4 3 0
□ A. (4x²-17x-15) ! (n-k)! (x+5) = (4x+3)
B. (x+5) is a factor of 4x²-17x-15.
C. (4x²-17x-15) n(n-k)! (x-5) = (4x+3)
D. (x-5) is a factor of 4x² - 17x-15.
E. The number 5 is a root of F(x) = 4x² - 17x-15.
F. The number -5 is a root of F(x) = 4x² - 17x-15.
Answers
The correct statements about the synthetic division are C, D, F.
What is synthetic division ?Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1 and is generally used to find the zeroes of polynomials.
How to illustrate the information?
It should be noted that 4x² - 17x - 15 will be:
= 4x² - 20x - 3x - 15
= (x - 5)(4x + 3)
The roots of the polynomial will be:
= f(x) = 0
(x - 5) = 0
x = 5
4x + 3 = 0
x = -3/4
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Is 2 an algebraic expression?
Answers
No, 2 is a number, not an algebraic expression.
Thus, No, 2 is a number, not an algebraic expression. An algebraic expression is a combination of numbers, variables, and mathematical operations (such as +, -, x, /) that can be evaluated to a single numerical value. Examples of algebraic expressions include 2x + 3 and 4y - 7.
Algebraic expressions can also contain exponents and roots, and can be combined using arithmetic operations. Algebraic expressions are used in many mathematical and scientific fields, and are fundamental to understanding advanced mathematical concepts such as algebra, calculus and more.
Therefore, No, 2 is a number, not an algebraic expression.
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Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x can be used to represent this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem??
Answers
The constant of proportionality is 4.75 and it is the amount earned from each bracelet
What is the constant of proportionality?From the question, we have the following parameters that can be used in our computation:
y = 4.75x
A linear equation represented as y = mx has its constant to be m
This means that the constant of the equation is 4,75
The constant of proportionality represent the amount earned from each bracelet in the context of the problem
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The constant of proportionality is 4.75 and it represents the amount of money, in dollars, that Liv earns for every bracelet she sells. .
What is the Constant of Proportionality?The constant of proportionality is represented by a symbol, such as k, and can be used to write an equation for a proportional relationship, such as y = kx, where y and x are the two variables and k is the constant of proportionality.
Therefore, the constant of proportionality in the equation y = 4.75x is 4.75. It represents the amount of money, in dollars, that Liv earns for every bracelet she sells.
In other words, it is the ratio of the amount of money earned to the number of bracelets sold.
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Classify the angle pair. Select all choices that apply.
Answers
1) Complementary
2) Supplementary
3) Adjacent
4) Linear Pair
5) Vertical
Help will be greatly appreciated!
The manager of fast food restaurant collected data to study the relationship between the number of employees working registers and the amount of time customers waited in line to order. He made a scatter plot of the data and credited a trend line with the equation y= -70x+300, where y is the total amount of time waited in seconds and x is the number of employees working registers.
1. Did the scatter plot of data positive, negative, or no association? Explain your reasoning.
2. Maria went to the restaurant and waited 90 seconds to place her order. Use the trend line equation to predict how many employees were working.
3. Kiara went to the restaurant and waited 3.5 minutes. Use the trend line to predict how many employees are working.
4. Ashton walked into the restaurant and 4 employees are working registers. Use the trend line equation to predict how long he will wait to place his order.
Answers
The scatter plot of the data is negative association.
What is Scatterplots?Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.
1. Given the relationship between the number of employees working registers and the amount of time customers waited in line to order as,
y = -70x + 300
When x = 0, y = 300
When x = 1, y = 230
When x = 2, y = 160
.........................
So the value of y is decreasing as the value of x increases.
This is a negative association.
2. y = 90 seconds
-70x + 300 = 90
-70x = -210
x = 3
3. y = 3.5 minutes = 210 seconds
-70x + 300 = 210
-70x = -90
x = 9/7 = 1.3
There may be two employees working.
4. x = 4
y = (-70 × 4) + 300
= 20
Hence the given scatterplot is a negative association and the value of x and y can be calculated using the trend line equation.
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Please write word answer that I can use
Answers
Based on properties of quadrilaterals we can say Shawndra is correct.
How to determine who is correct using the properties of quadrilaterals?
A rectangle is a type of quadrilateral that has four right angles (90 degrees) and opposite sides that are equal in length. A square is a special type of rectangle, which is a rectangle with four congruent sides.
A trapezoid is a quadrilateral with one pair of parallel sides. A rectangle cannot be a trapezoid because a trapezoid does not have to have opposite sides that are congruent.
A square is a rectangle, but all rectangles are not squares. A square is a special type of rectangle, which is a rectangle with four congruent sides.
In summary, it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rectangle. Thus, Shawndra is correct.
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how do i solve 2(-3x+4)=5x+2?
Answers
2(-3x+4)=5x+2
1. distribute..
2*-3x=-6x
2*4=8
-6x+8=5x+2
2. subtract from both sides...
8-8=0
8-2=-6
-6x=5x-8
5x-5x=0
3. simplify...
-6x-5x-6x-5x-6x-5x=-11x
4. divide from both sides...
-11x=-6
-11x-11=0
-6/-11...
5. your result/answer
x=6/11
I hope this helps you!!
Answer:
1.8
Hope this is helpful!!!!!!!!!
HELP PLEASE.
tbh ixl sucks
Answers
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We can use this formula to solve.
We will substitute the known points and simplify. I will use the points (0, -5) and (-3, -4)
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{-5--4}{0-3} =\frac{-5+4}{-3} =\frac{-1}{-3}= \frac{1}{3}[/tex]
HURRYY PLEASE :AA'B'C'is a rotation of AABC 180° about the origin. What is the length of A'C'?
В,
A. 4 units
B. 3 units
O C. 6 units
D. 13 units
Answers
When the triangle ABC is rotated 180 degrees around the origin, the length of A'C' is 3 units.
What is angle of rotation?The angle of rotation is a unit of measurement in mathematics that expresses the angle at which a figure is rotated around a fixed point, frequently the center of a circle. A rotation of 310 degrees can also be referred to as a rotation of -50 degrees because a clockwise rotation is regarded as a negative rotation. A rotation is a transformation in which every point of a figure is turned through a predetermined angle and in a predetermined direction around a fixed point. The fixed point is referred to as the rotational center. The term "angle of rotation" refers to the rotation's amount and is expressed in degrees.
Here,
Rotating the triangle doesn't change the length of its sides.
So, length of AC=length of A'C'
length of AC=3 units
length of A'C'=3 units
The length of A'C' is 3 units when the triangle ABC is rotated 180° about the origin.
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John a salesperson and Peter a supermarket employee compare their earnings for a particular week. John and a basic salary of 1340 per week and a commission of 10% on all sales over 40,000 shillings his sales for that week were 49,800 shillings. Peter worked 43 hours at a basic rate of 48 shillings per hour. On Friday and Saturday, he worked for two extra hours both days. The overtime rate on Friday is one and half time
and on Saturday it is double time of normal rate .
a)calculate how much each and and get their difference.
Answers
Using mathematical operations, John earned 2320 shillings in a week, Peter earned 2400 shillings in a week. Peter earned 80 shillings more than John.
An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. Scalars in MATALB can be multiplied, divided, added to, subtracted from, multiplied by, and have exponents applied to them. These operators can be used to arrange calculations involving vectors and matrices in a straightforward manner.
As per question,
John earns,
1340 per week and 10% on sales over 40,000 shillings
⇒ 1340 + (49800 - 40000) × 0.10
⇒ 2320 shillings
John earned 2320 shillings in a week
Peter earns,
43 hours at a basic rate of 48 shillings per hour
On Friday and Saturday, he worked over - time for 2 hours,
pay for Friday = 72 shillings,
pay for Saturday = 96 shillings
⇒ 43 × 48 + 72 × 2 + 96 × 2
⇒ 2400 shillings
Peter earned 2400 shillings in a week
Difference = 2400 shillings - 2320 shillings = 80
As we can observe that Peter earned 80 shillings more than John.
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8+2x3-6 divided by 2
Answers
Answer:
4
Step-by-step explanation:
- j(x) = −5√x + 3 +2
Answers
Contradictions, also referred to as No Solution Equations, are the final category of equations.
What mathematical problem has no answer?Contradictions, also referred to as No Solution Equations, are the final category of equations. No matter what we substitute for the variable, this kind of equation is never true. Take the equation 3x + 5 = 3x - 5 as an illustration. There is no answer to this problem.|-x - 3| = 5, |2x - 1| = 0, |5 - 3x| = -8, |-x + 9| = 0. Any equation must always have a positive absolute value. There are therefore no answers to the equation.Contradictions, also referred to as No Solution Equations, are the final category of equations.|-x - 3| = 5, |2x - 1| = 0, |5 - 3x| = -8, |-x + 9| = 0. Any equation must always have a positive absolute value. There are therefore no answers to the equation.To learn more about equations refer to:
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how to add fractions with different denominators and numerators?
Answers
Find the Lowest Common Multiple (LCM) between the denominators as the first step. Step 2: Multiply each fraction's numerator and denominator by a certain amount to give them the LCM as their new denominator. Step 3: Change the denominator but add or subtract the numerators.
Fractions with Differing Numerators: Adding and Subtracting Fractions:
GET A COMMON DENOMINATOR AS THE FIRST STEP.Add or remove the numerators in step two.If necessary, simplify the outcome. Due to the fact that both the numerator and denominator may be divided by three, the expression 1/37 can be simplified. Fraction Addition with Different NumeratorsVerify the fractions' denominators.By determining the LCM of the denominators and rationalising them, make the denominators of the fractions the same.Keeping the denominator the same, add the fractional numerators.To obtain the final sum, simplify the fraction.Learn more about fractions Visit: brainly.com/question/78672
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to take students through a series
of questions pertaining to the genetics of sickle cell disease and its relationship to malaria resistance. We divided the
questions into sections: "Mendelian Genetics and Probability," "Pedigrees," and "Chi-Square Statistics." Within each
section, the questions sequentially move from a basic level to a more advanced level in order to develop the skills of the
students. True Or False
Answers
True.
Dividing the questions into sections, such as "Mendelian Genetics and Probability," "Pedigrees," and "Chi-Square Statistics," and progressing from basic to more advanced questions can help students develop their understanding of the genetics of sickle cell disease and its relationship to malaria resistance by building on their prior knowledge and gradually increasing the difficulty of the material.
Sickle Cell Disease GeneticsBreaking down the questions into different sections and organizing them in a way that starts with basic concepts and gradually becomes more challenging is an effective teaching method. This allows students to build on their existing knowledge and gradually gain a deeper understanding of the topic at hand, in this case, the genetics of sickle cell disease and its relationship to malaria resistance.
This approach can help students to better absorb and retain the information, making it easier for them to apply their knowledge to new and more complex problems.
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A line segment whose endpoint are on the circle is called a __________ of a circle .
Answers
Answer: i thin k its called a CHORD
Step-by-step explanation:
What is the value of the logarithm log 750?
Answers
The value of the given logarithm log(750) = 2.875.
A logarithm is the power to which a number must be raised in order to get some other number.
A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.The common logarithm is also called the base 10 logarithms. It is represented as log10 or simply log
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Find the Range of the function:
F(x) = 3x + 7 for the domain {-1, 0, 1, 2}
Answers
Answer:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain:(−∞,∞),{x|x∈R}Range: (−∞,∞),{y|y∈R}
Step-by-step explanation:
What is the y-intercept of the line of best fit?
What is the slope of the line of best fit for this scatter plot?
What is the equation of the line of best fit?
Answers
The y-intercept of the line of best fit is the point at which the line crosses the y-axis.
What is the equation of the line of best fit?The y-intercept of the line of best fit is the point where the line intersects the y-axis.It is calculated by finding the value of y when x is equal to 0.The slope of the line of best fit is the rate of change between two points on a line.It is calculated by finding the difference between two points on the line and dividing it by the difference between their corresponding x-values.The equation of the line of best fit is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.The y-intercept of the line of best fit is -0.45.
The slope of the line of best fit is 0.81.
The equation of the line of best fit is y = 0.81x - 0.45.
It is the value of y when x is equal to zero. In this scatter plot, the y-intercept is 4.56.The slope of the line of best fit is the rate at which the line increases or decreases. It is the amount that y changes for every unit change in x. In this scatter plot, the slope of the line is 0.45.The equation of the line of best fit is a linear equation that describes the relationship between the two variables. In this scatter plot, the equation of the line of best fit is y = 0.45x + 4.56. This means that for every unit increase in x, y increases by 0.45, and the line starts at 4.56 when x equals zero.To learn more about The line of best fit for this scatter plot refer to:
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Please select the best answer from the choices provided.Simplify 2(csc^2theta - cot^2 theta) a. sin theta b. cos theta c. 2d. 1
Answers
Answer:
c
Step-by-step explanation:
using the identity
• 1 + cot²x = csc²x
given
2(csc²Θ - cot²Θ )
= 2(1 + cot²Θ - cot²Θ)
= 2(1)
= 2
there are 16 secret agents who each know a different piece of secret information. they can telephone each other and exchange all the information they know. after the telephone call, they both know everything that either of them knew before the call. what is the minimum number of telephone calls required so that all of them know everything?
Answers
The minimum number of telephone calls needed so that all of secret agents know everything is 28.
The number of secret agents = 16 (i.s even)
So
The minimum number of calls required can be determined by( 2N - 4)
n represents the number of agents
Now find the number of minimum calls:
The minimum number of calls = ( 2(16) - 4 )
The minimum number of calls = ( 28 )
So in a situation where there are 16 secret operatives, each of whom is aware of a different piece of secret data. They can call each other and exchange all of the information they have. They both know everything they need to be known before the phone call; the minimum number of telephone calls needed is 28.
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