The measure of (angle) 6 is 120. The measure of (angle) 5 is 100. What is the measure of (angle) 4

I'll help.

[tex] \frac{1}{3}x = 9 \frac{1}{2} [/tex]

[tex]x = ?[/tex]

↓

[tex] \frac{1}{3} x = \frac{19}{2} [/tex]

[tex]x = \frac{57}{2} [/tex]

"How it can be 57 ?"

The number 19 is multiplied by the number 3 at the bottom left.

19 × 3 = 57.

Answer:

A.

[tex] {b}^{2} + 3b - 3 = 0[/tex]

Step-by-step explanation:

[tex] {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac[/tex]

Answer:

4

Step-by-step explanation:

To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.

The formula is (y²-y¹)/(x²-x¹).

So we just plug in the coordinates.

(10-(-2))/(7-4)

(10+2)/(7-4)

12/3

4

So the slope is 4.

---

hope it helps

The slope of the line passing through (4, -2) and (7, 10) is,

⇒ m = 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Two points on the line are (4, -2) and (7, 10).

Since, The equation of line passes through the points (4, -2) and (7, 10).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (10 - (-2)) / (7 - 4)

m = 12 / 3

m = 4

Thus, The slope of line = 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

A - B = 11x² -9x + 14

A - B = 11x² -9x + 14

Answer:

P = 8 l

Step-by-step explanation:

Let's consider a rectangular field with dimensions:

We know that the width (w) is three times the length (l), that is,

w = 3 l   [1]

We can calculate the perimeter (P) of a rectangle using the following expression.

P = 2 l + 2 w   [2]

If we replace [1] in [2], we get,

P = 2 l + 2 (3 l)

P = 2 l + 6 l

P = 8 l

Answer:

x =41.18114952

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

We know the hypotenuse and adjacent sides

cos theta = adjacent / hypotenuse

cos x  = 14.3/19

taking the inverse cos of each side

cos^-1 (cos x) = cos ^-1 ( 14.3/19)

x =41.18114952

Answer:

Step-by-step explanation:

take x degree as reference angle

using cos rule

cos x=adjacent/hypotenuse

cos x=14.3/19

cos x=0.75

x=cos 41

x= 41 degree

Answer:

An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:

A = (1/2)*(Perimeter)*(Apothem)

The perimeter of the regular polygon  is just the length of one side multiplied with the number of sides. Since a polygon with   9 sides,

P = 9(15) = 135in

A = 1/2 ×135 × 12

A = 810 square inches ans

Answer:

the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.

so

none of the above.

Answer:

d

Step-by-step explanation:

none of the above

Answer: x < 10

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.

That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.

Notice that because we divide both sides of the inequality

by a positive number, not a negative, we did not change the

direction of the inequality sign.

Finally, put your answer in set notation, {x: x < 10}.

Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.

Answer:

Step-by-step explanation:

45-45-90 triangles always have the same relationships

leg = x,    hypotenuse = x√2

If you have the leg length multiply it by √2 to get the hypotenuse

hypotenuse = x,   Leg = x/√2

If you have the hypotenuse length divide it by √2 to get the leg

-----------------------

7)

leg  = 3√2 / 2

hyp =  3√2 / 2 *  √2 = 3

8)

leg = 5√2

hyp = 5√2 *√2 = 10

9)

hyp = 2

leg = 2 / √2 = √2

10)

leg = 13√2 / 2

hyp = 13√2 / 2 * √2  = 13

11)

leg = 3√3

hyp = 3√3 * √2 = 3√6

12)

leg = 12

hyp = 12√2

Answer: 1238.916

Step-by-step explanation:

A = (Bh)/3

B = 14.7 x 14.7

The area of a pyramid is the formula at the top. B in the formula at the top is the Base. The reason it is capitalized is because B is also a formula. You need to find the area of the base of the pyramid and plug it into the equation. It this case, the base is equal to the second equation above.

Answer:

It is B on edge

Step-by-step explanation:

Answer: 1/56

Step-by-step explanation:

Since the box has 8 different colors, the probability of picking any color of crayon will be 1/8.

This question relates to a probability without replacement, therefore, the probability of picking the red crayon first will be 1/8. After then, there'll be 7 crayons left and the probability of picking the green crayon next will be 1/7.

Therefore, the probability that I will remove the Red and the Green crayon from the box will be:

= 1/8 × 1/7

= 1/56

Answer:

$11.50

Step-by-step explanation:

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

The lost percentage is 25%

The percentage remaining is 75%

Answer:

1.5 hours

Step-by-step explanation:

Given :

My hose = 3 hours ; my rate = 1/3

Let My friend's time = x ; his rate = 1/x

Combined time = 1 hour, combined rate = 1/1 = 1

Combined rate :

1/3 + 1/x = 1

1/x = 1 - 1/3

1/x = (3 - 1)/ 3

1/x = 2/3

Cross multiply :

3 = 2x

x = 3/2

x = 1.5 hours

Answer:

A

Step-by-step explanation:

If he has read 56 pages and there are a total of 490, then how many are left?  That's 490 - 56 = 434.

To read 434 pages in 6 weeks, he should read 434 / 6 pages each week.  That's 72 1/3 pages per week.

Answer:

you click the crown :)

Step-by-step explanation:

hope this helps!

Answer:

Just click on the words "Award Brainliest" on top of the answer of a user to a certain question of yours.

Step-by-step explanation:

Answer:

Let x = ducks

Let y = goats

Equation 1: x+y=38

Equation 2: 2x+4y=90

Step-by-step explanation: (Work)

The question says two kinds of animals, so let x be "ducks" and y be "goats."

Number one equation: x+y=38

Number two equation: 2x+4y=90

Explanation:

The x+y=38 represents how many animals there will be if you add both the ducks and goats.

The 2x+4y=90 represents the legs of the animals, the 2x represents the 2 legs of the ducks and the 4y represents the 4 legs of the goats.

Answer:

1710

Step-by-step explanation:

you will multiply 1500 euros by the exchange rate

Answer:

Step-by-step explanation:

A) 2( 4×5 +6×5+6×4)=148 cm²

B) 2( 4x6 + 13 ×6 + 13×4) = 308 in²

9514 1404 393

Answer:

  a. set 1: 29 minutes; set 2: 25 minutes

  b. set 1 is more challenging than set 2

Step-by-step explanation:

a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...

  (2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes

For set 2, that is ...

  (4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes

__

b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...

  set 1 is more challenging than set 2

Answer:

B and D

7/12 cups

Step-by-step explanation:

2 1/3 + 2 1/4 = cups of flour needed

4 = cups of flour had

2 1/3 + 2 1/4

To have the same denominator, we take the lcm

2 + 2 + (4/12 + 3/12) =

2 4/12 + 2 3/12 - 4

Or

2 + 2 + (3 + 4) / 12 - 4

2 + 2 + (3 + 4) / 12 - 4 = 4 7/12 - 4

4 7/12 - 4 = 7/12 cups of flour needed

Answer:

3/2

Step-by-step explanation:

make into a improper fraction

Answer:

$1,627,579

Step-by-step explanation:

Given that

The account receivable turnover is 4.8 times

And, the net sales is $7,812,379

We need to find out the receivable

So as we know that

accounts receivable turnover = net sales ÷ average accounts receivables

Therefore the accounts receivables is

= ($7,812,379 ÷ 4.8)

= $1,627,578.96

= $1,627,579

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.

5x−4x=3

Step 1: Simplify both sides of the equation.

5x−4x=3

5x+−4x=3

(5x+−4x)=3(Combine Like Terms)

x=3

x=3

Answer:

x=3

Answer:

0.0013 probability that at least 6 employees were over 50.

Step-by-step explanation:

The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

8 employees dismissed means that [tex]n = 8[/tex]

Had 7 + 17 = 24 employees, which means that [tex]N = 24[/tex]

7 over 50, which means that [tex]k = 7[/tex]

What is the probability that at least 6 employees were over 50?

6 or 7, so:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex].

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013[/tex]

[tex]P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013[/tex]

0.0013 probability that at least 6 employees were over 50.

Answer:

P(A and B) = 0.14.

Step-by-step explanation:

Venn probabilities:

Suppose we have two events, A and B. The probability P(A and B) is given by:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

In which [tex]P(A \cup B)[/tex] is P(A or B).

In this question:

P(A) = 0.3, P(B) = 0.63, P(A or B) = 0.79. So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.3 + 0.63 - 0.79 = 0.93 - 0.79 = 0.14[/tex]

So

P(A and B) = 0.14.