KL and MN are chords of circle Q. They intersect at point J. the value of x is 5.9.
What is circle's chord?
A circle's chord is the line segment that connects any two locations on the circle's circumference. It should be noted that a circle's diameter is defined as the lengthiest chord that runs through the centre of the circle.
KL and MN are chords of circle Q. They intersect at point J .MKN = (10x + 2 )° , mLM = (3x–4)°, and m∠KJM=103°.
(10x + 2 )° + (3x–4)° +103° = 180 degree
13x + 2 + 103 = 180 degree
13x = 180 - 103 = 77
x = 77 / 13 = 5.92 .
KL and MN are chords of circle Q. They intersect at point J. the value of x is 5.9.
To learn more about diameter refer to:
https://brainly.com/question/358744
#SPJ4
The graph of the line in the xy - plane passes through
the point (2, 3) and crosses the x-axis at the point
(3,0). The line crosses the y-axis at a point (0, b)
what is the value of b?
The value of b on the given linear equation is: b= 9.
What is the value of b?Here we have a linear equation.
Remember that the general linear equation can be written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Here we have the two points (2, 3) and (3, 0), then the slope is:
a = (0 - 3)/(3 - 2) = -3
The line is like:
y = -3*x +b
To find the value of b, we can replace the values of the point (3, 0), then we will get:
0 = -3*3 + b
0 = -9 + b
9 = b
That is the value of b.
Learn more about linear equations at:
https://brainly.com/question/4025726
#SPJ1
Anica says you can write any subtraction problem as an addition problem. Is Anica correct? Explain.
Answer: Anica is correct
For example, 5-3 can be written as 5 + (-3)
Subtracting a positive is the same as adding a negative.
Answer:
yes
Step-by-step explanation:
It can be written as an addition of a negative
Example 3-5 is the same as 3 + (-5)
determine the value of k for which the system
For the system of equations to have a unique solution the value of k must not be 6
Now, According to the question:
The given equations are,
kx + 2y = 5
3x + y = 1
The above equations can be written as,
kx + 2y – 5 = 0
3x + y – 1 = 0
We need to find the value of k.
So, we know that if the two equations are [tex]a_1x+b_1y+c_1=0[/tex], [tex]a_2x+b_2y+c_2=0[/tex] Then we will compare the coefficients such that
[tex]\frac{a_1}{a_2},\frac{b_1}{b_2} and \frac{c_1}{c_2}[/tex].
If [tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex] then the equations have unique solution, if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex]
then the equations have infinitely many solutions and if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}[/tex]
then the equations have no solutions.
Here we can clearly see that,
[tex]a_1=k,b_1=2,c_1=-5\\\\\\a_2=3,b_2=2,c_2=-1[/tex]
So, [tex]\frac{a_1}{a_2},\frac{b_1}{b_2} , \frac{c_1}{c_2}[/tex]
[tex]\frac{a_1}{a_2}=\frac{k}{3}, \frac{b_1}{b_2}=\frac{2}{1} , \frac{c_1}{c_2}=\frac{5}{1}[/tex]
We know that if the system of equation has unique solution then [tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex]
So, we solve on putting their values and we get,
[tex]\frac{k}{3}\neq \frac{2}{1}[/tex]
[tex]k\neq 6[/tex]
Hence, for the system of equations to have a unique solution the value of k must not be 6.
Learn more about System of equation at:
https://brainly.com/question/12895249
#SPJ4
The given question is incomplete, complete question is:
Find the value of k for which the following system of equation has the unique solution:-
kx + 2y = 5
3x + y = 1.
Bowler World charges $5. 00 to rent shoes and $1. 10 per game. Lucky Spares charges $3. 00 for shoes and $1. 50 per game.
Part A
Drag numbers to complete a system of equations to represent the situation, using g for number of games and c for cost. Numbers may be used once, more than once, or not at all.
Bowler World: c = ?g + ?
Lucky Spares: c = ?g + ?
(Numbers: 1, 1. 1, 1. 5, 2. 6, 3, 5, 8)
The number of games that would make the cost equal in both locations is 5. The total cost is $10.50.
The equation that can be used to determine the total cost of renting shoes at both locations is:
total cost = fixed cost + variable cost
Total cost of renting at Bowler World = $5 + $1.1x
Total cost of renting at Lucky Spares = $3 + $1.50x
Where
x = number of games played
In order to determine the number of games that would make the cost
equal in both locations, the following steps would be taken:
$5 + $1.1x = $3 + $1.50x
Combine similar terms
$5 - $3 = $1.50x - $1.1x
$2 = $0.40x
Divide both sides of the equation by $0.4
x = 2 / 0.4
x = 5 games
Total cost = $5 + $1.1(5) = $5 + $5.5 = $10.50
Learn more about the cost estimation here :
https://brainly.com/question/2611396
#SPJ4
find the equation of the tangent line to the curve 3x3 3y2−11=4xy−x at the point (1,−1).
The equation of the tangent line to the curve 3x3, 3[tex]y^{2}[/tex] - 11 = 4xy - x at the point (1,−1) , then the slope = [tex]-\frac{3}{2}[/tex].
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
A slope graph looks like a line graph, but with an important difference: there are only two data points for each line.
Given that,
The equation of the tangent line to the curve 3x3 ,
3[tex]y^{2}[/tex] - 11 = 4xy - x
3[tex]y^{2}[/tex] - 4xy + x - 11 = 0
Differentiate both side with respect to 'x'
6y [tex]\frac{dy}{dx}[/tex] - 4 ( x [tex]\frac{dy}{dx}[/tex] + y ) - 1 = 0
For slope at point ( 1 , -1 ) put x = 1 and y = -1
6(1) [tex]\frac{dy}{dx}[/tex] - 4 ( 1 [tex]\frac{dy}{dx}[/tex] - 1 ) -1 = 0
6 [tex]\frac{dy}{dx}[/tex] - 4 [tex]\frac{dy}{dx}[/tex] + 4 -1 = 0
2 [tex]\frac{dy}{dx}[/tex] + 3 = 0
2 [tex]\frac{dy}{dx}[/tex] = 0 - 3
2 [tex]\frac{dy}{dx}[/tex] = - 3
[tex]\frac{dy}{dx}[/tex] = -3/2
slope = [tex]-\frac{3}{2}[/tex]
Therefore,
The equation of the tangent line to the curve 3x3, 3[tex]y^{2}[/tex] - 11 = 4xy - x at the point (1,−1) , then the slope = [tex]-\frac{3}{2}[/tex].
To learn more about Tangent slope line visit :
brainly.com/question/15032050
#SPJ4
Luke charges $14 per hour for washing cars. If f represents Luke's total fee after working for h hours, which equation can be used to model this situation? (hint: you can make your own table and use x for hours and y for fees)
Answer: f = 14h (f is total fee, h is the hour luke worked)
Step-by-step explanation:
!URGENT HELP! 100 points to any whom are willing ^-^
Explain how the complex conjugate root theorem applies to each of these polynomial functions:
- f(x) = x^2 − 9
- f(x) = = x^2 + 3x − 10
- f(x) = x^3 − 5x^2 + 10x − 8
The quadratic equation x² - 9 has two real roots.
The quadratic equation x² + 3 · x - 10 has two real roots.
The cubic equation x³ - 5 · x² + 10 · x - 8 has two complex conjugate roots and a real root.
How to determine if complex conjugate root theorem is applicable to quadratic equation
According to complex conjugate root theorem, if a quadratic equation has a root of the form a + i b, where a, b are real numbers, then the other root is a - i b. In addition, roots of quadratic equations of the form a · x² + b · x + c, where a, b, c are real coefficients. By quadratic formula, the equation has complex conjugate roots if:
b² + 4 · a · c < 0
Now we proceed to check each quadratic equations:
Case 1: (a = 1, b = 0, c = - 9)
D = 0² - 4 · 1 · (- 9)
D = 36
The equation has no complex conjugate roots.
Case 2: (a = 1, b = 3, c = - 10)
D = 3² - 4 · 1 · (- 10)
D = 9 + 40
D = 49
The equation has no complex conjugate roots.
The latter case is represented by a cubic equation, whose standard form is a · x³ + b · x² + c · x + d, where a, b, c, d are real coefficients. The equation has a real root and two complex conjugate roots if the following condition is met:
18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d² < 0
Now we proceed to find the nature of the roots of the polynomial: (a = 1, b = - 5, c = 10, d = - 8)
D = 18 · 1 · (- 5) · 10 · (- 8) - 4 · (- 5)³ · (- 8) + (- 5)² · 10² - 4 · 1 · 10³ - 27 · 1² · (- 8)²
D = - 28
The equation has a real root and two complex conjugate roots.
To learn more roots of polynomials: https://brainly.com/question/1698434
#SPJ1
32 ^ 3/5 evaluated please help
The value of the expression is 32^3/5 is 8
What is Indices?An index is a small number that tells us how many times a term has been multiplied by itself. The plural of index is indices. Below is an example of a term written in index form: 4³. 4 is the base and 3 is the index.
Fractional indices are powers of a term that are fractions. Both parts of the fractional power have a meaning. x^ab. The denominator of the fraction (b) is the root of the number or letter. The numerator of the fraction (a) is the power to raise the answer to.
In the expression 32^3/5, 32 is the base and 3/5 is the index.£
fifth root of 32 is 2 i.e 2⁵ = 32
2×2×2×2×2 = 32
and 2³ = 8
therefore 32^ 3/5 = 8
learn more about Indices from
https://brainly.com/question/10339517
#SPJ1
Line F has a slope of -5/3. Line G is parallel to line F, what is the slope of line G?
The slope of line G is also -5/3, since parallel lines have the same slope.
line g has a slope of -5/3 bc parallel lines have the same slope
hope this helps you
Find the volume of a right-circular cone of base radius r and height h.
You need to include an image or the measurements. No one can give you the answer without those numbers.
The volume of a right-circular cone of base radius 7cm and height 24cm is 1232 cm³.
What is volume?An object or substance's volume is the amount of space it takes up. The capacity of a container is typically understood to be equal to its volume rather than the amount of space it occupies. The SI unit for volume is the cubic metre (m³).
Given that radius r = 7
height h = 24
The volume formula of a right-circular cone is
V = 1/3hπr²
Putting the values, we get
[tex]$\text V = \frac{1}{3} \times 24 \times \frac{22}{7} \times 7 \times 7[/tex]
V = 1232 cm³
Thus, The volume of a right-circular cone of base radius 7 and height 24 is 1232 cm³.
Learn more about volume
https://brainly.com/question/1578538
#SPJ4
Complete question:
Find the volume of a right-circular cone of base radius r and height h, from the figure given below.
Let the United States population be approximately 325 million people.
The average monthly disability benefit (cash received) per person on Disability is $1000.
The number of EMPLOYED Americans is 163. 229 million.
Each month, a person on Disability on average receives a check of $1000.
How much is this per week, assuming there are 4 weeks per month? Enter a number only
If monthly disability is $1000, the amount of disability per week is $250.
Based on the provided information in the question, the average monthly disability benefit (cash received) per person is $1000. The weekly benefit can be determined using division operation. The weekly benefit will be the average monthly disability benefit divided by number of weeks per month. Assuming that there are 4 weeks per month, the weekly benefit is:
Weekly monthly disability benefit = Monthly benefit/Number of weeks per month =$1000/4 = $250
Hence, if the monthly disability benefit is $1000 per person, then the weekly disability benefits is $250 per week.
Learn more about Division operation:
https://brainly.com/question/28119824
#SPJ4
when multiplying and dividing integers what would (-98)÷14 equal it would equal 7 but would it be positive or negative?
Answer: -7
Step-by-step explanation:
Here we will show you step-by-step with detailed explanation how to calculate 98 divided by 14 using long division.
Instead of saying 98 divided by 14 equals 7, you could just use the division symbol, which is a slash, as we did above.
Also note that all answers in our division calculations are rounded to three decimals if necessary.
Here are some other ways to display or communicate that 98 divided by 14 equals 7:
98 ÷ 14 = 7
98 over 14 = 7
98⁄14 = 7
The easiest way we found to answer the question "what 98 divided by 14 means", is to answer the question with a question: How many times does 14 go into 98?
let the random variable x represent the profit made on a randomly selected day by a certain store. assume that x is normal with mean $360 and standard deviation $50. what is p(x>$400)?
The probability that the profit is greater than $400 is 0.0082.
The cumulative distribution function (CDF) of the normal distribution can be used to calculate the likelihood that the profit will be larger than $400.
We may determine the likelihood that a random variable will be less than or equal to a certain value using the CDF of the normal distribution. We can deduct the CDF from 1 to get the likelihood that the random variable is greater than a specific value.
The normal standard variable that correlates to x will be referred to as z. By taking the mean away and dividing it by the standard deviation, we may standardize x:
z = (x - $360) ÷ $50
The CDF of the standard normal distribution can be found using a standard normal table.
Calculating the value of z we get.
z = (400 - $360) ÷ $50 = 2.4
Therefore, the probability that x > $400 is given by:
p(x > $400) = 1 - p(x <= $400) = 1 - φ(2.4)
where φ is the standard normal CDF.
A standard normal table can be used to estimate the value of φ.
Using the standard normal table φ = 0.9918.
Substituting the values we get,
p(x > $400) = 1 - 0.9918 = 0.0082
This means that there is about a 0.82% chance that the store will make a profit greater than $400 on a randomly selected day.
Learn more about probability:
https://brainly.com/question/29381779
#SPJ4
If you order 12 pizzas, you will get 96 slices of pizza. How many slices are there in one
pizza?
Answer:
8 slices per pizza.
Step-by-step explanation:
To find the number of slices in one pizza, we can use division.
If you order 12 pizzas, you will get 96 slices of pizza. To find the number of slices in one pizza, we can divide the total number of slices by the number of pizzas:
96 ÷ 12 = 8
Therefore, there are 8 slices in one pizza.
Answer:
8
Step-by-step explanation:
12 pizzas have 96 slices
So one pizza must have 96/12 = 8 slices of pizza
Idenify the terms and the coefficient of the expression?
1. 5x + 2v - 5
Answer:
The expression is:
5x + 2v - 5
The terms in this expression are:
5x, with a coefficient of 5
2v, with a coefficient of 2
-5, with a coefficient of -5
So the coefficients are 5, 2, and -5 respectively.
Apply the distributive property to factor out the greatest common factor. 12+80=12+80=12, plus, 80, equals.
The greatest common factor of 12 and 80 is 12, so we can use the distributive property to factor that out.
Identify the greatest common factor (GCF). In this case, it's 12.
Rewrite the expression so the GCF is outside of the parentheses. 12 + 80 = 12(1 + 80/12).
Simplify the expression inside the parentheses. 1 + 80/12 = 7.
Substitute the simplified expression back into the original equation. 12 + 80 = 12(7).
Simplify the expression. 12 + 80 = 84.
Therefore, 12 + 80 = 84 after applying the distributive property to factor out the greatest common factor of 12.
For more questions like Distributive property click the link below:
https://brainly.com/question/18908866
#SPJ4
Long division method square root of 5508409
Answer:
2347
2347 * 2347 = 5508409
Step-by-step explanation:
Hope it helps! =D
Can someone PLEASE help? I will give brainliest if possible and lots of points. Show work
Click on the image to see questions
Answer:
Step-by-step explanation:
Part A: Vertical angles are angles that are opposite each other and are formed by two intersecting lines. They are congruent, meaning they have the same measure, and are supplementary, meaning they add up to 180 degrees.
Part B: We are given that m∠1 = (2x — 5)° and m∠3 = (1/3x + 60)°. Since vertical angles are congruent, we can set the two equations equal to each other:
(2x — 5)° = (1/3x + 60)°
Solving for x, we get:
2x — 5 = 1/3x + 60
5/3x = 65
x = 39
So, m∠1 = (2x — 5)° = (2 * 39 — 5)° = 77°.
Part C: We are given that m∠2 = (5y + 7)° and m∠4 = (7y — 33)°. Since vertical angles are congruent, we can set the two equations equal to each other:
(5y + 7)° = (7y — 33)°
Solving for y, we get:
5y + 7 = 7y - 33
-2y = -40
y = 20
So, m∠2 = (5y + 7)° = (5 * 20 + 7)° = 107°.
Solve for X. Round your answer to the nearest tenth.
The side ratio theorem states that the value of x is 9.6 when BD/DA = BE/EC when DA = 12 and BE = 8 and EC = 10.
what is triangle ?Given it has triangles and three vertices, each triangle qualify as a polygon. It belongs to the primitive geometric. Triangle ABC is the term utilized to refer to a triangle with the points A, B, and C. Once the three components are not collinear, a unique rectangle and square in Geometric forms are discovered. Triangles are polygons because they have three sections and three corners. The points where the main parts of the triangle merge are called to as the triangle's corners. Three triangle ratios are multiplied to yield 180 degrees.
given
by Side ratio theorem
BD/DA = BE/EC
= x/12 = 8/10
x = 8*12/10
x = 9.6
The side ratio theorem states that the value of x is 9.6 when BD/DA = BE/EC when DA = 12 and BE = 8 and EC = 10.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Suppose that ????(1)=8, ????(4)=7, ???? '(1)=9, ???? '(4)=−3, and ???? '' is continuous. Find the value of the definite integral ∫x????″(x) ????x on the interval [1,4].
The value of the definite integral ∫[tex]x????"(x)????(x) dx[/tex] on the interval [tex][1,4][/tex] is -5.
What do you mean by integration?Integration is a fundamental concept in calculus that deals with finding the area under a curve and calculating the accumulation of values over an interval. Integration can be thought of as the reverse of differentiation, which is the process of finding the rate of change of a function at a given point.
There are two main types of integration: definite and indefinite integration. Definite integration involves finding the exact area between a curve and the x-axis over a specified interval. Indefinite integration involves finding the general antiderivative of a function, which is a function that, when differentiated, will yield the original function.
The process of integration can be represented symbolically as ∫ (the integral symbol) and the result of an integration is typically represented as an antiderivative. The fundamental theorem of calculus states that differentiation and integration are inverse operations, so the derivative of an antiderivative is the original function.
Given that ????(1) = 8, ????(4) = 7, ???? '(1) = 9, and ???? '(4) = -3, we can use the method of integrating by parts to evaluate the definite integral ∫[tex]x????"(x)????(x) dx[/tex] on the interval [1, 4].
Let u = ????(x) and dv = x dx. Then du = ???? '(x) dx and v = x^2/2.
Using the method of integrating by parts, we have:
∫[tex]x????"(x)????(x) dx= x????(x)[/tex] ×[tex]\frac{x}{2} -[/tex]∫[tex](\frac{x^{2} }{2} )????'(x) dx[/tex]
We can use the same method of integrating by parts to evaluate the second integral on the right-hand side. Let [tex]u=\frac{x^{2} }{2}[/tex] and [tex]dv=????'(x) dx[/tex]. Then [tex]du=x dx[/tex] and [tex]v=????(x)[/tex].
So we have:
∫[tex]x????"(x)????(x) dx = x????(x)[/tex]× [tex]\frac{x}{2} - \frac{x}{2} ^{2}????(x) + c[/tex]
Where C is an arbitrary constant of integration.
We can use the given values of ????(1) and ????(4) to evaluate the definite integral:
∫[tex]x????"(x)????(x) dx[/tex] = 4????(4) * 4/2 - (4^2/2)????(4) + 4????(1) * 1/2 - (1^2/2)????(1)
= 28 - 14 * 7/2 + 4 * 8/2 = 28 - 49 + 16 = -5.
Therefore, the value of the definite integral ∫[tex]x????"(x)????(x) dx[/tex] on the interval [1, 4] is -5.
To know more about integration visit:
https://brainly.com/question/18125359
#SPJ4
PLEASE HELP IM BEGGING YOU PLEASE!!!
Dont worry I gotchu
Answer: 33.7°
at a local technical school, five auto repair classes are randomly selected and all of the students from each class are interviewed. what sampling technique is used
The sampling technique used in the scenario of selecting five auto repair classes from a local technical school and interviewing all of the students from each class is called "Cluster Sampling."
Cluster Sampling is a type of probability sampling method where the units of analysis are organized into groups, called clusters, and a random sample of these clusters is selected.
In this scenario, the auto repair classes are the clusters and the students are the units of analysis.
By selecting five classes, all of the students from each class are included in the sample. This method is often used when it is difficult or impractical to get a complete list of all the units of analysis in a population.
In conclusion, cluster sampling is a useful technique when it is challenging to get a complete list of all the units of analysis in a population, as it reduces the time and resources required while still giving a relatively accurate representation of the population.
To know more about sampling here.
https://brainly.com/question/28975411
#SPJ4
It wa jake and am birthday. There were 26 preent. Jake an am wanted to plit them evenly but didnt know how. Can you help them
(3-6 arithmetic sequences as linear functions)
1. -4, -2, 0, 2, ...
2. 1/2, 5/8, 3/4, 13/16
1. -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.
2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.
What is mean by arithmetic sequence?An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.
We use the common difference to go from one term to another.
Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.
If the common difference between consecutive terms is positive, we say that the sequence is increasing.On the other hand, when the difference is negative we say that the sequence is decreasing.The given sequence can only be an arithmetic sequences if they have same common difference
1.
2-0 = 2
0 - (-2) = 2
-2 -(-4) = 2
Thus, the given sequence is an arithmetic sequences with a common difference of 2.
2.
13/16-3/4 = 1/16
3/4 -5/8 = 1/8
5/8 - 1/2 = 1/8
Thus, the given sequence is not an arithmetic sequences.
Learn more about arithmetic sequence
https://brainly.com/question/15412619
#SPJ4
Complete question:
Arithmetic Sequences as Linear Functions.
Determine whether each sequence is an arithmetic sequence. Write yes or no.
1. -4, -2, 0, 2, ...
2. 1/2, 5/8, 3/4, 13/16 ...
The area of a circle is more than 2 square units but less than 4 square units.
The range between which the radius of the circle lies is -
[tex]$\sqrt{\frac{2}{\pi } } < r < \sqrt{\frac{2}{\pi } }[/tex] .
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 -
"The area of a circle is more than 2 square units but less than 4 square units".
The area of a circle is -
{A} = πr²
Mathematically, we can write the inequality statement as -
2 < {A} < 4
2 < πr² < 4
(2/π) < r² < (4/π)
[tex]$\sqrt{\frac{2}{\pi } } < r < \sqrt{\frac{2}{\pi } }[/tex]
Therefore, the range between which the radius of the circle lies is -
[tex]$\sqrt{\frac{2}{\pi } } < r < \sqrt{\frac{2}{\pi } }[/tex] .
To solve more questions on inequalities, visit the link below -
brainly.com/question/25851784
#SPJ1
Can someone PLEASE help me with this and show work?
The measure of the angle ∠DBC, m∠DBC, found by writing an equation based on the angle addition postulate is m∠DBC = 30°
What is an equation?An equation consists of two expressions that are specified as being equivalent, by joining them by an equals to '=' sign.
The specified information are;
m∠ABD = (3·x+ 15)° and m∠DBC = (2·x)°, m∠ABC = 90°
The angle addition postulate indicates that we get;
m∠ABC = m∠ABD + m∠DBC
m∠ABC = 90° = (3·x+ 15)° + (2·x)° (substitution property)
90° = (3·x+ 15)° + (2·x)° = (5·x+ 15)°
(5·x + 15)° = 90°
5·x = 90° - 15° = 75°
5·x = 75°
x = 75°/5 = 15°
x = 15°
m∠DBC = 2·x
Therefore, m∠DBC = 2 × 15° = 30°
m∠DBC = 30°
Learn more about the angle addition postulate here: https://brainly.com/question/14957499
#SPJ1
we have 4 women and 5 men and want to create a committee with 2 women and 2 men. in how many ways we can do this? a.6 b.10 c.30 d.60
The number of unique committees is 240 / 4 = 60. So the answer is d. 60.
What is the combination?
The permutation is to select an object and then arrange it and it cares about the orders while Combination is about only selecting an object without caring about the orders.
To form a committee with 2 women and 2 men, we have 4 choices for the first woman, 3 choices for the second woman, 5 choices for the first man, and 4 choices for the second man.
Therefore, the number of ways to form a committee is 4 * 3 * 5 * 4 = 240. This is the total number of combinations, and to find the number of unique committees,
we need to divide by the number of ways to arrange the members within each committee.
As the members are distinguishable, the number of arrangements is simply 2! * 2! = 4.
Therefore, the number of unique committees is 240 / 4 = 60. So the answer is d. 60.
To learn more about the combination visit,
https://brainly.com/question/26852614
#SPJ4
Which statement is true?
An equilateral triangle is never an acute triangle.
An isosceles triangle is sometimes an acute triangle.
An obtuse triangle is always an isosceles triangle.
A right triangle is always a scalene triangle.
Answer:
An obtuse triangle is always an isosceles triangle.
Step-by-step explanation:
Why do scientists think it is helpful to the periodical cicadas to emerge every 13 to 17 years?
Scientists believe that it is helpful for the periodical cicadas to emerge every 13 to 17 years because this allows them to synchronize their population cycles with those of their predators.
How to determine the GCF?By emerging in large numbers, the cicadas can overwhelm their predators, resulting in higher survival rates.Scientists believe that it is beneficial for periodical cicadas to emerge every 13 to 17 years because this allows them to avoid the most dangerous predators.This is known as the “predator satiation hypothesis” and is expressed mathematically as “S=P/P+N”, where S is the probability of survival, P is the number of predators and N is the number of cicadas.By emerging every 13 to 17 years, periodical cicadas are able to survive in large numbers and increase their chances of survival.The GCF of numbers is the greatest common factors between the numbersThe GCF of the years is 1
The intervals are given as: 13 years and 17 years
Factor both intervals (i.e. 13 and 17)
13 = 1 * 13
17 = 1 * 17
The common factor between both products is 1
So, we have:
GCF = 1
Hence, the GCF of the years is 1
To learn more about periodical cicadas refer to:
https://brainly.com/question/26452664
#SPJ1
-9s = 19
solve for s
Answer:
s= 19/-9
s≈-2.111
Step-by-step explanation:
s is being multiplied by -9
so, to get s by itself we divide both sides by -9
s= [tex]\frac{19}{-9}[/tex]
if you need it in decimal form, s≈-2.111