What type of angles are labeled and what is the value of m? Show your work.

Answer: show us the graph

Step-by-step explanation:

The height h of the triangle is equal 6.2cm

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

In this case, we have some data and we can easily plug in those values and find the height.

We can apply the sine ratio to this problem and solve.

sinθ = opposite / hypothenuse

sin 51 = h /8

h = 8 sin 51

h = 6.2cm

Using trigonometric ratio, the value of h is 6.2cm

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The Ratio of money made by Jackie and Liana by selling lemonade is 2/3

What does a math ratio mean?

Definitions: If b is not equal to 0, then an ordered pair of numbers a and b, denoted as a/b, is a ratio. A proportion is an equation that equalizes two ratios. You could, for instance, write the ratio as follows: 1: 3 in the case of 1 boy and 3 girls.

How is a ratio calculated?

By typically dividing two figures, ratios contrast them. If you were comparing one data point (A) to another data point, your formula would be A/B. (B). You are multiplying information A by information B, as indicated by this. For instance, if A is 5 and B is 10, your ratio will be 5/10.

Given that

Jackie earn = $24

Liana earn = $36

Ratio of their earning = 24/36 = 2/3

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As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.

After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.

Go a few rounds to establish the pattern:

Beginning chips: A B C

15 14 13

1st round:

12 15 14

2nd round: 13 12 15

3rd round: 14 13 12

So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.

So after 36 rounds each will be down 12 from the beginning:

                                            A B C

                                             3 2 1

On the 37 round A will give up his 3 to end at 0

37

For more clear understanding:

As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.

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Answer:

3

Step-by-step explanation:

9-2/3x=7

We know that 9-2=7 so 2/3x must be 2

2/3x=2

You have to multiply each side by 3/2

x=3

The number is 3

The expression that represents the change in depth is |-45 + 20|

From the question, the endpoints are given as

Initial point = 20 feet below the sea level

Final point = 45 feet below the sea level

Rewrite the endpoints properly

This is done as follows

Initial point = -20

Final point = -45

The distance expression between the endpoints is then calculated as

Distance = |Final point - Initial point|

Substitute the known values in the above equation

So, we have the following equation

Distance = |-45 + 20|

Hence, the distance expression is |-45 + 20|

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The factors of the number 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100. If you add them up, you will get the total of 217

Answer:

A

Step-by-step explanation:

∠ A and ∠ B are vertically opposite angles and are congruent. that is

∠ A and ∠ B are vertical angles

The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is  (11, -9)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

The mid point formula is represented as follows;

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).

Hence,

(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)

Therefore,

3 = -5 + x₂ / 2

cross multiply

6 = -5 + x₂

x₂ = 6 + 5

x₂ = 11

-4 =  1 + y₂ / 2

cross multiply

-8 = 1 + y₂

y₂ = -8 - 1

y₂ = - 9

Therefore, the endpoint is (11, -9)

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The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6  and for g(x) =  5x-12x^2+3 is 2

Since for finding the number of roots, we just  need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) =  5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.

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Answer:

f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots

Answer:

solve for u= 6v/7

solve for v= 7u/6

Step-by-step explanation:

Answer: Width = 7 inches, Length = 14 inches

Step-by-step explanation:

Let the width be [tex]w[/tex]. Then, the length is [tex]2w[/tex].

Using the formula for the perimeter of a rectangle,

[tex]2(w+2w)=42\\\\w+2w=21\\\\3w=21\\\\w=7\\\\\implies 2w=14[/tex]

The measurement of a quantity requires units to be defined. The 6 ounce of raisins is equal to 171100 milligrams of it.

A measurement unit is unit to measure different quantities such as mass, length and time.

The measurement unit of one quantity can be converted into the other by multiplying it with a certain number.

Given that,

The amount of raisins is 6 ounces.

Since One ounce is equal to 23.85 grams,

6 ounce converted in grams equals 6 × 28.35 = 171. 10 grams

Now, 1 gram = 1000 milligrams.

Therefore, 171. 10 grams = 171.10 × 1000 milligrams

                                         = 171100 milligrams.

Hence, 6 ounces of raisins is equivalent to 171100 milligrams.

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Answer:

A recipe calls for 170,100 milligrams of raisins.

Step-by-step explanation:

I took the exam and got it right

Using the probability, the expected number of female children in a family with three children is 1.5. The option 2 is correct.

In the given question, we have to find the expected number of female children in a family with three children.

The possibility of having girls in family is 0,1,2 or 3.

From the 8 possible sequences, only one of them give the possibility of 0 girls.

So the probability of 0 girls is 1/8.

There are total 3 ways of having 1 girl.

That is: GBB, BGB, and BBG.

Thus, the probability of 1 girl is 3/8.

Similarly checking for having 2 girls with probability 3/8

Having 3 girls with probability 1/8.

The predicted number of girls is calculated as a weighted average of all potential numbers, where a number's weight is determined by its likelihood of occurring.

The anticipated number of girls is therefore

= 1/8⋅0+3/8⋅1+3/8⋅2+1/8⋅3

= 0+3/8+6/8+3/8

=(3+6+3)/8

=12/8

=1.5

Hence, the expected number of female children in a family with three children is 1.5.

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The best linear regression model for the grade according to the number of hours slept is of:

A. y = 6.38 x + 35.63.

To obtain the linear regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in a linear regression calculator. These points are given on a table or in a scatter plot in the problem.

For this problem, the points are given in the table given by the image at the end of the answer, and are given as follows:

(8, 83), (7, 86), (7, 74), (8, 88), (6,76), (5, 63), (7, 90), (4, 60), (9,89), (7,81).

Inserting these points into the linear regression equation, the equation is given as follows:

y = 6.38 x + 35.63.

Hence the correct option is given by option A.

The problem is given by the image shown at the end of the answer.

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90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

The correct option is (B)

From the figure,

As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.

Angle between x axis and y axis is 90°.

So rotating any degree which is a multiple of 90 i.e., 90°, 180°, 270°, 360°...… would yield the original figure.

Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

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Answer:

x =11

Step-by-step explanation:

report this so that girl in the comments can give you an answer

Answer: -50

Step-by-step explanation:

Step-by-step explanation:

the equation

y = -8/5 x + 6

tells us 2 things :

-8/5 is the slope of the line, 6 is the y-intercept (the y value when x = 0).

a parallel line has the same slope (just a different y-intercept) : -8/5

a perpendicular line (intercepts at 90°) turns the original slope upside-down and flips the sign : 5/8

we the use the given point as x and y values and calculate the y-intercepts.

parallel :

3 = -8/5 × 5 + y-intercept = -8 + y-intercept

11 = y-intercept

y = -8/5 x + 11

perpendicular :

3 = 5/8 × 5 + y-intercept = 25/8 + y-intercept

(3×8)/8 = 24/8 = 25/8 + y-intercept

-1/8 = y-interceot

y = 5/8 x - 1/8 = 1/8 × (5x - 1)

The original amount of nuts, x, in the recipe is 103

The equation for the original amount is 2x + 2x = 412

An algebraic expression can be defined as an expression made up of terms, factors, constants, coefficients, and variables.

These expressions are also known to be made up of mathematical operations such as;

From the information given, we have that;

Beverly doubles the amount of nuts and peanut butter chips

Total number = 412

This is represented as;

2x + 2x = 412

collect like terms

4x = 412

Make 'x' the subject of formula

x = 412/ 4

x = 103

Hence, the value is 103

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a)The probability of exactly 5 accidents will occur is 0.1008.

b) The probability of fewer than 3 accidents will occur is 0.42318.

It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12. Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.

Given,

Mean = 3

a) By using Poission probability formula,

P( X = 5) = e⁺³ (3)⁵/5!

P(X = 5) = 0.1008

The probability of exactly 5 accidents will occur is 0.1008.

b) fewer than 3 accidents will occur:

P( X <3) = e⁻³ (3)⁰ + e⁻³ (3)¹ + e⁻³(3)²

P( X< 3) = 0.4978 + 0.14936 + 0.22404

P( X < 3) = 0.42318

The probability of fewer than 3 accidents will occur is 0.42318.

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1. The angles measures are larger than the original angle measures is a false statement.

2. If two sides parallel in the original figure, then those sides are parallel in the final figure is true statement.

3. The final angle measure are the same as the original angle measure is false statement.

4. The original figure and the final figure may not be congruent is true statement.

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Answer:

x + x + 2 = x + 3

2x + 2 = x + 3

x = 1

x + 2 = 3

x + 3 = 4

Gender and marital status and Job title.

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1) Probability that exactly 4 flights are selected is; P(X = 4) = 0.11469

2) The probability that at most 3 flights are on time is; P(X ≤ 3) = 0.99533

3) The probability that at least 6 flights are on time is; P(X ≥ 6) = 0.57672

The formula for binomial probability distribution is;

P(r) = nCr * p^(r) * (1 − p)^(n − r)

Where;

n = Number of events

r = Number of successful events in the trials

p = Probability of success in the single trial of the events

We are given;

p = 80% = 0.8

n = 7

1) Probability that exactly 4 flights are selected is;

P(X = 4) = ⁷C₄ * 0.8⁴ * (1 − 0.8)^(7 − 4)

P(X = 4) = ⁷C₄ * 0.8⁴ * 0.2³

P(X = 4) = 0.11469

2) The probability that at most 3 flights are on time is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Solving using online binomial calculator gives;

P(X ≤ 3) = 0.99533

3) The probability that at least 6 flights are on time is;

P(X ≥ 6) = P(X = 6) + P(X = 7)

P(X ≥ 6) = 0.57672

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A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.

Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.

Volume is defined as the amount of space that a three-dimensional shape occupies.

The volume of a rectangular prism can be calculated using the formula below.

V = l x w x h

where V = volume

l = length

w = width

h = height or depth

Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.

V = l x w x h

V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³

V = 124 cubic meters

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VZW=64

Step-by-step explanation:

Since the lines are straight the angles are equal. 2x+32=3x+16

Solve this for x.

32=x+16

16=x

Put the value for x (16) in to one of the angle equations

2(16) + 32 = 32 + 32 = 64