How do you find the value of X and Y in angles of a triangle?

The combination of entrees and desserts that the restaurant serve will be:

A. The restaurant could serve 40 entrees and 25 deserts.

E. The restaurant could serve 64 entrees and 40 deserts.

The word problem in mathematics refers to a question that is written as a sentence which requires an individual to use his or her mathematics knowledge.

In this case, the local restaurant serves 8 entrees for every 5 desserts.

In this case it should be noted that:

40 / 25 = 8 / 5

64 / 40 = 8 / 5

The correct options are A and E.

Learn more about word problem on

brainly.com/question/21405634

#SPJ1

The triangle ΔABR and ΔRCA are congruent with each other. Then Line A R bisects Angle ∠BAC.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

Line segment AB is-congruent-to line segment BC Line segment B C is congruent to line segment AC.

AB = BC = AC

In triangles  ΔABR and ΔRCA, we have

AB = AC               (Given)

∠RBA = ∠RCA     (Opposite sides have equal angle)

AR = AR               (Common sides)

The triangle ΔABR and ΔRCA are congruent with each other. Then Line A R bisects Angle ∠BAC.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Answer: 30

Step-by-step explanation: 6 + 4 + 4 + 9.5 + 6 + 6.5 = 30

Answer:

3 3/4 * 2 1/2 = 758 = 9 38 = 9.375. Spelled result in words is seventy-five eighths (or nine and three eighths).

The domain of the function y = √(x - 5) is x >= 5, that is [5, ∞).

The domain of the function y = sqrt(x - 5) is the set of all input values (x-values) for which the function is defined.

In this case, the square root function is defined for all non-negative values of x - 5. If x-5 is negative, it would result in an imaginary number, which is not defined. However, since x - 5 cannot be negative, x must be greater than or equal to 5. Therefore, the domain of the function y = √(x - 5) is x >= 5.

--The question is incomplete, answering to the question below--

"What is the domain of the function y = sqrt(x - 5)?"

To know more on domain

https://brainly.com/question/1632425

#SPJ4

Answer: Our arc length calculator can calculate the length of an arc of a circle

Step-by-step explanation:

Multiply the radius by the central angle to get the arc length.

The line equation for Carmen's donation plan is y + 2x ≤ 460.

Please refer to the attached graph below for the corresponding region.

From the case, we know that:

City youth fund = x

Educational growth foundation = y

Educational growth foundation = 2 city youth fund

Total budget = $460

Based on the case, we know that:

y = 2x --> the slope of the line constraint should be 2

Then, the line equation for this condition should be:

y + 2x ≤ $460

To construct the graph, we need to find the point constraint first.

(y= 0)

(0) + 2x = 460

x = 230 --> (230, 0)

(x = 0)

y + 2(0) = 460

y = 460 --> (0, 460)

Learn more about Line Equation here: brainly.com/question/29739212

#SPJ1

I'm sorry that you don't understand this question but sadly I am unable to help since I don't understand this question and what is going on.

Angle ∠ABC is bisected into two congruent angles by the bisector.

ΔABD and ΔCBD are equivalent, and by CPCTC, ∠ABD ≅ ∠CBD results;

• BD bisects ∠ABC.

Reasons:

The following is a presentation of the two column proof;

Statement

1. D is the midway of AC So AB ≅ BC.

2. AD ≅ DC

3. BD is Reflexive property of congruency

ΔABD ≅ ΔCBD , Side-Side-Side, Congruency Postulate

∠ABD = ∠CBD                              Definition of congruency

∠ABC = ∠ABD + ∠CBD                 Angle addition postulate

is bisects ∠ABC                     Definition of angle bisector

5. ∠ABD congruent to BD (Reasons 4; The SSS congruency postulate asserts that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Congruent Parts of Congruent Triangles are Congruent, or CPCTC, is the acronym for reason number five.

To learn more about congruent angles from given link

https://brainly.com/question/24817485

#SPJ1

A 95% confidence interval for the mean of 3243 dollars.

In statistics, the confidence interval formula is used to express the degree of uncertainty surrounding a sample estimate of a population parameter. It is used to describe the degree of uncertainty surrounding a sampling technique.

Given random sample = 55

mean = $2900

standard deviation = $1300

Confidence Interval = m ± z(SD/√n)

n = Number of terms

m = Sample average

SD = Standard Deviation

z = Value corresponding to confidence interval in z table

value of z for 95% confidence interval is 1.96,

substitute the values in formula,

Confidence Interval = m ± z(SD/√n)

Confidence Interval = 2900 ± 1.96(1300/√55)

Confidence Interval = 2900 ± 343.581

Confidence Interval =  3243.581

Confidence Interval =  3243

Hence the mean is 3243 dollars.

Learn more about confidence intervals;

brainly.com/question/13067956

#SPJ1

A collection of vectors v 1, v 2, …, v r from R n is linearly independent if the only scalars that satisfy are k 1 = k 2 = ⃛ = k r = 0.

To learn more about trivial linear combination refer to:

https://brainly.com/question/12978085

#SPJ4

A hole occurs when there is a duplicate factor on the numerator or denominator. This is not the case here, so there are no gaps.

The denominator of f(x) cannot be zero because f(x) would become undefined. The values that x cannot be are obtained by equating the denominator to zero and solving.

To solve 5x² + 2x + 1 = 0

This does not factor, so verify the discriminant.

Here, a = 5, b = 2, and c = 1.

b² - 4ac = 4 - 20

= -16

Because the discriminant is 0, there are no real roots, and thus no vertical asymptotes.

Horizontal asymptotes can be found as

[tex]\lim_{x \to \infty}[/tex] , f(x) -> c

Divide the terms on the numerator/denominator by the highest power of x, x².

f(x) = (3x² /x² )/((5x²/x² )+(2x/x²) +(1/x²))

     = 3/ 5 + 2/x + 1/x²

Since x -> ±∞. f(x) -> 3/5 + 0 + 0

= y = 3/5

When there is a duplicate factor on the numerator/denominator, a hole occurs. This is not the case in this case, so there are no holes.

(3x2)/(5x2+2x+1) [-10, 10, -5, 5] graph

To learn more about hole refer to :

https://brainly.com/question/30097132

#SPJ1

The ratio of length of one side of CEFGH and length of one side of SUVWX  is, 5/4. So Option A is correct

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

We have two pentagons,

CEFGH and SUVWX

length of CE = 5

length of SU = 4

Ratio of CE and SU,

Ratio =  CE/ SU

         =  5/4

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ1

The statement describes that the survey of high school teenagers reporting that 96% of those sampled are interested in pursuing a college education to be descriptive statistics.

A given data collection, which may be a sample of a population or a representation of the complete population, can be summarised using descriptive statistics, which are concise informational coefficients. Measurements of variability and measures of central tendency make up descriptive statistics (spread). Data are summarised using descriptive statistics.

The statements made by descriptive statistics only apply to the data set from which they were derived; they never extend beyond the data you have. To characterise the fundamental characteristics of the data in a study, descriptive statistics are used. They offer concise summaries of the sample and the measurements. They serve as the foundation for almost all quantitative data analyses, along with straightforward graphical analysis.

To learn more about statistics: https://brainly.com/question/15525560

#SPJ4

Answer: We can set up an equation to represent the total cost for both florists:

Cost for Flowers Florist = 2x + 10

Cost for Fub's Roses = 1x + 19

where x is the number of roses David buys.

To find out the number of roses David would have to buy for both florists to charge him the same amount, we set the two equations equal to each other and solve for x:

2x + 10 = 1x + 19

x = 9

So David would have to buy 9 roses for both florists to charge him the same amount.

Step-by-step explanation:

Answer:

Question 1
₹ [tex]42000[/tex]

Question 2
First table: ₹ [tex]1920[/tex]

Second table ₹ [tex]1200[/tex]

Step-by-step explanation:

Question 1

I will use R and V to denote Ravish and Vineet respectively

Question 2

So one table cost ₹1920 and the second table cost ₹1200  ANSWER

The perimeter of Equilateral Triangle is 14.547 m.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

The altitude of an equilateral triangle is 4.2 meters long.

let x is the measure of the side of the equilateral.

Using Pythagoras theorem

x = √(4.2)(4.2) + (x/2)(x/2) )

x = √( 4.2)² + (x²/4) )

x² = 17.64 + x²/4

3x²/4 = 17.64

x² = 17.64 (4)/3

x² = 23.52

x= 4.849

So, the perimeter of Equilateral Triangle

= 3 x side

= 3 (4.849)

=  14.547 m

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ1

The probability of 50% shows that the  mean cholesterol level of the sample will be no more than 210 for the given mean and standard deviation.

As given in the question,

Area average represents the mean ' μ ' = 210 mg /dL

Standard deviation 'σ ' = 30 mg /dL

Sample 'n' =  48

Normal distribution 's' = σ /√n

                                     = 30 /√48

                                     = 4.35

Probability so that mean of the given sample not more than 210

By using central limit theorem we have,

Z = ( X - μ ) /s  

  = ( 210 - 210 )/ 4.35

  = 0

When Z = 0 it has p-value equals to 0.5.

0.5 = 50%

Therefore, the probability of 50% shows that the  mean cholesterol level of the sample will be no more than 210.

Learn more about probability here

brainly.com/question/30034780

#SPJ4

On solving for {π}, we get that → π = (4ir/P).

Given is the statement as -

r equals the square root of P over 4 times pi times l.

We can write the statement as -

r = √(P/4πi)

√(P/4πi) = r

(P/4πi) = ± r

π(P/4i) = ± r

π = ± (4ir/P)

{π} is a non - negative value. We can write -

π = (4ir/P)

Therefore, on solving for {π}, we get that → π = (4ir/P).

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Think of 20% as 20/100 = 0.20

Then we multiply, not divide, this value with 600

0.20*600 = 120 is the answer.

Answer: She divided it by 2 which is incorrect, instead she should multiply 20% by 600kg to get 20% of 600

[tex]\frac{20}{100}[/tex] x 600 (the answer will be 120kg)

No triangle can be drawn having angles of 45°, 60° and 85°. This is because the sum of the angles of a triangle must equal 180°, and 45° + 60° + 85° = 190°.

No triangle can be drawn having angles of 45°, 60° and 85°. This is because the sum of the angles of a triangle must equal 180°, and 45° + 60° + 85° = 190°. A triangle is a three-sided polygon, with each side connected to the other two in a closed shape. All angles in a triangle must add up to 180° for the shape to be complete. If the angles in a triangle do not add up to 180°, then it is not a triangle, and cannot exist. Therefore, it is not possible to draw a triangle with angles of 45°, 60° and 85°, as the sum of these angles is 190°, which is greater than the 180° required.

Learn more about angles here

https://brainly.com/question/30147425

#SPJ4

The natural logarithm function gradually increases as x rises to positive infinity and gradually decreases as x approaches zero. Only for x>0 is the natural logarithm function ln(x) defined. Therefore, it is unknown what a negative number's natural logarithm is.

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459. 

After that, the definition of the natural logarithm can be expanded to include logarithm values for all non-zero complex numbers as well as negative numbers, albeit this results in a multi-valued function.

When seen as a real-valued function of a positive real variable, the natural logarithm function is the exponential function's inverse. Not just e, but any positive base other than 1, logarithms can be defined.

However, compared to the natural logarithm, logarithms in other bases only differ by a fixed multiplier.

To learn more about natural logarithm link is here

brainly.com/question/30085872

#SPJ4

The domain of f(x) = 3x - 2 is (-∞, +∞) or the set of all real numbers.

The domain of a function is the set of all input values (x-values) for which the function produces a valid output (y-value). For f(x) = 3x - 2, the domain is all real numbers.

In other words, for any value of x, whether it is a whole number, a fraction, a decimal or a negative number, we can substitute it into the function and find the corresponding output. Therefore, the domain of f(x) = 3x - 2 is (-∞, +∞) or the set of all real numbers.

Learn more about domain here: https://brainly.com/question/26098895

#SPJ4

The steps to draw the absolute value graph is explained below.

The term graph is known as  a mathematical representation of a network and it describes the relationship between lines and points

Here we have to define the steps to be performed to plot the graph for the absolute value function.

As we all know that every absolute value graph will make a “V”-shaped figure.

And the graph consists of two pieces that is one with a negative slope and one with a positive slope.

Here we have the the point of their intersection is called the vertex.

Here we also know that the absolute value graph is symmetrical, which means it can be folded in half on its line of symmetry.

in order to plot the graph for the absolute value function then we have to plot two lines for the positive and negative cases that meet at the expression's zero.

To know more about graph here.

https://brainly.com/question/17267403

#SPJ4

The equation for the line in​ the slope-intercept form will be y = x/2 + 2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, the intercepts of the line will be (-4, 0) and (0, 2). Then the equation is given as,

x / (-4) + y / 2 = 1

Convert the equation into a slope-intercept form. Then we have

x / (-4) + y / 2 = 1

- x / 2 + y = 2

y = x/2 + 2

The equation for the line in​ the slope-intercept form will be y = x/2 + 2.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer:

1.  a = -14 and b = -10

2. c = 12 and d = 1

Step-by-step explanation:

See the attached worksheet.  Consolidate like terms, where possible and compare to the rigfht side of the equation,.  Assign values to the variables to make both sides equal.

Now that we additionally know the point (3, -1) through which the new line should pass, we may express a line using the point-slope form: y = - 5 / 3 x + 4.

5x + 3y = 6

3y = -5x + 6

y = -5/3x + 6 / 3

y = - 5 / 3x + 2

y - y0 = m(x - x0)

y - (-1) = -5 / 3 (x - 3)

y + 1 = -5 / 3 x + 5

y = - 5 / 3 + 4.

To Learn more About point-slope refer To:

https://brainly.com/question/24907633

#SPJ1

If the recipe needs 1/4 cup of brown sugar, that would be one batch.

2/4 = 2 batches

3/4 = 3 batches

So if there is one cup that would equal 4 bathes of yummy cookies.

The formula for the distance:

the distance (d) between two points x1, x2 is d = x2 - x1, where x2 > x1

We know that the distance is nothing but the length between 2 points.

It is measured in units of length.

For example, the distance between x = 5 and x = 8 on the x-axis of the is given by 8 - 5 = 3 units.

If we know the coordinates of the points then the distance between two poinnts is given by the distance formula.

For points p1, p2 with coordinates p1 = (x1, y1) and p2 = (x2, y2)

Using distance formula the distance (d) between points p1 and p2 is:

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

The distance formula is an appliation of Pythagoras theorem.

Learn more about distance here:

https://brainly.com/question/10215429

#SPJ4