If ∠6 = 59°, then ∠2 = ?
because ∠6 and ∠2 are...
Look at image

Answer:

Is there any image for the question ???

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{5}[/tex] x - 6 ← is in slope- intercept form

with slope m = [tex]\frac{3}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{5} }[/tex] = - [tex]\frac{5}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{5}{3}[/tex] and (a, b ) = (- 2, 5 ) , then

y - 5 = - [tex]\frac{5}{3}[/tex] (x - (- 2) ) , that is

y - 5 = - [tex]\frac{5}{3}[/tex] (x + 2)

Answer:

The median is 21

Step-by-step explanation:

Since you have 12 numbers in order, that's an even number, once you put them in numerical order and start crossing them off on both sides, you'll have 18 and 24 left, add them together and divide them by 2 and you'll have your median 21.

Answer:

The answer woupd be B, 1, 0

The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0) thus option (B) will be correct.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

As per the given floor plan,

Th coordinate of dairy is the horizontal and vertical distinctions from the reference axes(0,0).

Since it is 1 unit apart in the x and 0 apart in the y direction.

Thus (1,0) is the right coordinate.

Hence "The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0)".

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Answer:

y= 2x²+7x

B is the answer

Answer:

[tex]l =45[/tex] --- length

[tex]w = 55[/tex] --- width

Step-by-step explanation:

Given

[tex]P = 200[/tex] --- perimeter

[tex]A = 2475[/tex] --- area

Required

The dimension of the farm

Let

[tex]l \to length; w \to width[/tex]

So:

[tex]p = 2(l+w)[/tex] --- perimeter

[tex]2(l+w)=200[/tex]

Divide by 2

[tex]l+w=100[/tex]

Make l the subject

[tex]l = 100 - w[/tex]

Also:

[tex]A= l*w[/tex] --- area

[tex]l * w = 2475[/tex]

Substitute: [tex]l = 100 - w[/tex]

[tex](100 - w) * w = 2475[/tex]

Open bracket

[tex]100w - w^2 = 2475[/tex]

Rewrite as:

[tex]w^2 - 100w +2475 = 0[/tex]

[tex]w^2 - 45w - 55w +2475 = 0[/tex]

Factorize

[tex]w(w - 45) - 55(w -45) = 0[/tex]

Factor out w - 45

[tex](w - 55)(w -45) = 0[/tex]

Take any one of the expression and solve for w

[tex]w -55 = 0[/tex]

[tex]w = 55[/tex]

Recall that: [tex]l = 100 - w[/tex]

[tex]l =100 - 55[/tex]

[tex]l =45[/tex]

Answer:

7. x = 6

8. x = 15/4

9. x = -7

Answer:

Hello there user, looks like your looking for help!

The correct answers should be:

7. x = 6

8. x = 3 3/4

9. x = -7

Step-by-step explanation:

3/2 = x/4

6/4 = x/4

x = 6

x/3 = 1 1/4

4x/12 = 15/12

x = 15/4

x = 3 3/4

(x + 1)/3 = (x-1)/4

(4x + 4)/12 = (3x-3)/12

x/12 =  -7/12

x = -7

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

Answer:

53.33% is the correct answer

Answer:

first create an equation for Jeb flower then for Lori

then solve them by simultaneous linear equations

Answer:

One rose = $2.75

One carnations = $1.25

Step-by-step explanation:

Lets make the rose = x

and carnations = y

Jeb >> 6x + 3y = 20.25

Lori >> 8x + 3y = 25.75

Solve simultaneously using elimination method.

8x + 3y = 25.75

- 6x + 3y = 20.25

_______________

2x =5.5

2x/2 = 5.5/2

x = 2.75

plug 2.75(x) into any of the two equations to find y.

6(2.75) + 3y = 20.25

16.5 + 3y = 20.25

3y = 20.25 - 16.5

3y = 3.75

3y/3 = 3.75/3

y = 1.25

Answer:

f(x) = 8.14x + 300

Step-by-step explanation:

The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.

' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'

According to the given problem,

Amount Leo earns for each hour he works = $8.14

Amount Leo earns in x hours = $8.14x

Amount Leo earns as additional tip per week = $300

Therefore, the function of x is,

⇒ f(x) = 8.14x + 300

Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300

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Answer:

Step-by-step explanation:

To calculate the probability of drawing a nickel followed by a quarter without replacement, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels. This can be calculated using combinations, denoted as C(n, r), which represents the number of ways to choose r items from a set of n items. In this case, Ricky is choosing 2 coins from a set of 10 coins:

Total possible outcomes = C(10, 2) = 45

Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is 1 quarter. Thus, the number of favorable outcomes is 1.

Favorable outcomes = 1

Probability (P) of drawing a nickel then a quarter without replacement:

P = Favorable outcomes / Total possible outcomes

P = 1 / 45

Therefore, the probability of selecting a nickel followed by a quarter without replacement is 1/45.

To calculate the probability of drawing a nickel then a dime with replacement, we assume that after each selection, the coin is replaced, and the total number of coins remains the same.

Probability (P) of drawing a nickel then a dime with replacement:

P(nickel then dime) = (Number of nickels / Total number of coins) * (Number of dimes / Total number of coins)

P(nickel then dime) = (2/10) * (5/10)

P(nickel then dime) = 1/10

Therefore, the probability of selecting a nickel followed by a dime with replacement is 1/10.

To calculate the probability of drawing a quarter then a dime with replacement:

Probability (P) of drawing a quarter then a dime with replacement:

P(quarter then dime) = (Number of quarters / Total number of coins) * (Number of dimes / Total number of coins)

P(quarter then dime) = (3/10) * (5/10)

P(quarter then dime) = 3/20

Therefore, the probability of selecting a quarter followed by a dime with replacement is 3/20.

To calculate the probability of drawing a nickel then another nickel without replacement, we need to consider that the second draw must be a nickel and that the first nickel is not replaced.

Total number of possible outcomes: Ricky chooses 2 coins from a total of 3 quarters, 5 dimes, and 2 nickels:

Total possible outcomes = C(10, 2) = 45

Number of favorable outcomes: Ricky needs to select a nickel first, which leaves 9 coins remaining. Out of these remaining coins, there is only 1 nickel left.

Favorable outcomes = 1

Probability (P) of drawing a nickel then another nickel without replacement:

P = Favorable outcomes / Total possible outcomes

P = 1 / 45

Therefore, the probability of selecting a nickel followed by another nickel without replacement is 1/45.

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Answer:

7√2

Step-by-step explanation:

From the diagram given;

Hypotenuse = x

Opposite = 7

Angle = 45 degrees

According to SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 45 = 7/x

x = 7/sin45

x = 7/1/√2

x = 7 * √2/1

x = 7√2

Hence the value of x is 7√2

Answer:

W=42°

X=29°

Step-by-step explanation:

180-138=42

90-42-19=29

Answer:

2−12+27

Step-by-step explanation:

(−3)(−9)

x(x-9) -3(x-9)

x2 (square lol) - 9x -3 (x-9)

x2-9x-3x+27

x2-12x+27

solution:

2−12+27 answer.

Answer:

Step-by-step explanation:

(x-3)(x-9)

x(x-9)-3(x-9)

x^2-9x-3x+27(add like terms)

x^2-12x+27

Answer:

0≤y10

Step-by-step explanation:

Given the expresssion;

y = 10 - 0.05x

To get the range, we will first substitute for the value of y by substituting the value x =0

y = 10 - 0.05(0)

y = 10

Hence the required range of values falls between 0 and 10;

0≤y10

Answer:

Step-by-step explanation:

There’s a total of 10+16+20+18 = 64 candies.

There’s 10 red candies.

10 / 64 = 0.15625

Rounded: 0.2

Answer:

34.4% profit

Step-by-step explanation:

C.P. = 1500

S.P. = 2016

Profit% = 34.4%

Answer:

104 miles (nearest whole number)

Step-by-step explanation:

Applying Pythagorean theorem which is: c² = a² + b². Where,

c = distance between the two planes = ?

a = distance of the first plane from the airport = 80 - 1 = 79 miles

b = distance of the second plane from the airport = 68 - 1 = 67 miles

c² = 79² + 67²

c² = 10,730

c = √10,730

c = 103.585713

c = 104 miles (nearest whole number)

Answer:

Step-by-step explanation:

The zero of a function is also known as the x-intercept of a function. The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:

4x - 20 = 0     and     -1/2x + k = 0 and then solve each for x:

4x = 20 so

x = 5 and

-1/2x = -k and

1/2x = k so

x = 2k. Now we set the 2 x expressions equal to each other and solve for k:

5 = 2k so

k = 5/2

The value of the K in the given equation is 5/2.

The zero of a function is also known as the x-intercept of a function.

The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:

4x - 20 = 0     and  

-1/2x + k = 0 and then solve each for x:

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

4x = 20 so

x = 5 and

-1/2x = -k and

1/2x = k so

x = 2k. Now we set the 2 x expressions equal to each other and solve for k

5 = 2k so

k = 5/2

Therefore the value of the K in the given equation is 5/2.

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Answer:

[tex]area = 4\pi {r}^{2} \\ = 4 \times 3.14 \times {7.5}^{2} \\ = 706.86 \: {cm}^{2} [/tex]

Answer:

I hoped this helped!

Step-by-step explanation:

Answer:

See attached image.

Step-by-step explanation:

You can either use a graphing calculator or make a table to find values for yourself.

X | 0 | 3

Y | -2 | -3

and so forth.

Answer:

D. 1/9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3ˣ

f(-2) is x = -2 for function f(x)

Step 2: Evaluate

Answer:

y = -1x - 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-9) / -2 - 6

8/-8

= -1

y = -1x + b

-1 = -1(-2) + b

-1 = 2 + b

-3 = b

Answer:

If you are asking for what x is equal too, then x = 8.70968...

Hope that this helps!

Answer:

The median are equal

Step-by-step explanation:

Given

I will answer this question with the attached plot (see attachment 2)

Required

The equal statistical measures

See attachment 1 on how to read a box plot

Using attachment 1 as a guide, we have the following observation

Movie 2                                                   Movie 1

[tex]Minimum=7.5[/tex]                                      [tex]Minimum=10[/tex]

[tex]Q_1 = 22.5[/tex]                                                 [tex]Q_1 = 15[/tex]

                                  [tex]Median = 30[/tex]

[tex]Q_3 = 35[/tex]                                                   [tex]Q_3 = 40[/tex]

[tex]Maximum = 47.5[/tex]                                    [tex]Maximum = 52.5[/tex]

By comparison, they have equal median (30)

Step-by-step explanation:

angle MRP

angle PRS=angle RPN (alternate angles)

2x+x+x+78°=180°(sum of angles of a triangle)

4x+78°=180°

4x=180°-78°

4x=102°

4x/4=102°/4

x=25.5

Answer:

Number of messages Salma sent = 7

Number of messages Brian sent = 16

Number of messages Chang sent = 32

Step-by-step explanation:

Let

Number of messages Salma sent = n

Number of messages Brian sent = n + 9

Number of messages Chang sent = 2(n + 9)

Total messages sent = 55

n + (n + 9) + 2(n + 9) = 55

n + n + 9 + 2n + 18 = 55

4n + 27 = 55

4n = 55 - 27

4n = 28

n = 28/4

n = 7

Number of messages Salma sent = n = 7 messages

Number of messages Brian sent = n + 9 = n + 9 = 16 messages

Number of messages Chang sent = 2(n + 9)

= 2(7 + 9)

= 2(16)

= 32 messages

Answer:

24 root 6

Step-by-step explanation:

Answer:

the answer is 58•78775383(that is 2^3√3×3√2)

The amplitude of this function is 3.