Which of these are polygons?

The following combinations would result in multiple triangles:

B) 5°, 122° and 61°.

C). 2 cm, 8 cm, 10 cm.

The correct options are B and C.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

A) The sum of all the angle is 180°.

It can form the triangle.

B) The sum of all the angle is less than 180°.

From this property, we can not form a triangle.

C). The triangle inequality,

the sum of two sides is less than the side length of the large side.

This property can satisfy the multiple triangle property.

D). It can be the property of a triangle.

Therefore, the combinations are statement B and C.

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The z-score for the data point 73, with a mean of 70 and a standard deviation of 9, is \(z = \frac{1}{3}\).

To convert a data point to a z-score, we can use the formula:

\(z = \frac{x - \mu}{\sigma}\)

where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

In this case, the data point \(x\) is 73, the mean \(\mu\) is 70, and the standard deviation \(\sigma\) is 9. Let's plug in these values into the formula:

\(z = \frac{73 - 70}{9}\)

\(z = \frac{3}{9}\)

Simplifying the expression:

\(z = \frac{1}{3}\)

Therefore, the z-score for the data point 73, with a mean of 70 and a standard deviation of 9, is \(z = \frac{1}{3}\).

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Answer:

The conclusion of the conditional statement is;

it is an integer and a prime number

Step-by-step explanation:

The statement that the argument claims to be true or the statement that the rest of a conditional statement leads to is the conclusion of a conditional statement

Given a conditional statement, also known as an if-then statement, which can be represented symbolically as p → q, such that the hypothesis is p and the conclusion is q.

In the given statement, the hypothesis, p = a number is odd, while the conclusion, q =  it is an integer and a prime number

Therefore, the conclusion of the conditional statement is it is an integer and a prime number.

However, only the converse of the statement is true, which is given as follows;

If a number is an integer and a prime number, then it is an odd number

Answer:

x=9 feet

Step-by-step explanation:

i think the value of x is 9 ft

Answer:

First get a common denominator then you divide the numerator then you get your answer

Step-by-step explanation:

The difference between the medians is calculated as 0.75 times the interquartile range (IQR).

To compute this, we can refer to the box plot provided and obtain the necessary values for the medians and IQRs of the two groups being compared.

For Jolie, the median amount is 28 and the IQR is 16, while for Francesca, the median amount is 16 and the IQR is also 16.

Subtracting the two median values gives a difference of 12.

We can then express this as:

Difference = 12 * IQR/16

Simplifying this gives a difference in medians of:

Difference = 0.75IQR.

Therefore, we can conclude that the difference in median amounts is 0.75IQR.

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Using sigma notation, the given series can be written as ∑(n=1 to ∞) [((2n-1)/(2n+1)) + (1/2)]

Hi! To express the given infinite series using sigma notation, observe the pattern in the numerators and denominators of each fraction:

1/3, 1/2, 3/5, 5/7, ...

Numerators: 1, 1, 3, 5, ...
Denominators: 3, 2, 5, 7, ...

The numerators follow the pattern: 1, 1, 1+2, 3+2, ...
The denominators follow the pattern of consecutive odd numbers: 1+2, 1, 3, 5, ...

With these patterns, you can write the series using sigma notation:

Σ[(n % 2 == 1 ? n : 1) / (2n + 1)]

Here, the % symbol represents the modulo operation, and n starts from 0 and goes to infinity. This expression captures the patterns observed in the numerators and denominators of the series.

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To find the derivative of the function f(x) = (5x + 2)/x, we can use the quotient rule. The derivative of f(x) with respect to x is given by the formula (g(x)f'(x) - g'(x)f(x))/[g(x)]^2, where g(x) is the denominator and f'(x) represents the derivative of the numerator.

To find the derivative of f(x) = (5x + 2)/x, we first need to differentiate the numerator and denominator separately.

The derivative of the numerator, 5x + 2, with respect to x is simply 5, as the derivative of a constant term (2) is 0 and the derivative of x is 1.

The derivative of the denominator, x, with respect to x is 1, as the derivative of x with respect to itself is 1.

Now, we can apply the quotient rule to find the derivative of the function. Using the formula (g(x)f'(x) - g'(x)f(x))/[g(x)]^2, we have:

f'(x) = [(1)(5) - (1)(5x + 2)]/x^2 = (5 - 5x - 2)/x^2 = (-5x + 3)/x^2.

Therefore, the derivative of the function f(x) = (5x + 2)/x is f'(x) = (-5x + 3)/x^2.

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Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

Answer:

GH = 5, HI = 6, GI ≈ 7.81

m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°

Step-by-step explanation:

To convert hour into minute: (No. of hour × 60) minutes

So, 2/5 hours = (2/5 × 60) minutes = (120/5) minutes = 24 minutes

2\5 is 0.4 so 0.4 multiplied by 60 u get 24 so the answer is 24 minutes

Answer:

(0,-4)

Step-by-step explanation:

The x coordinate comes first in the ordered pair

We do not move left or right from the origin so the x coordinate is zero

The y coordinate is second, we move 4 units down so the y coordinate is negative 4

The ordered pair is (0,-4)

Answer:

B' (- 1, - 2 ) , C' (0, - 8 )

Step-by-step explanation:

A (1 , - 4 ) → A' (- 3, - 5 )

1 → - 3 in the x- direction means subtract 4 from the original x- coordinate

- 4 → - 5 in the y- direction means subtract 1 from the original y- coordinate

the translation rule is then

(x, y ) → (x - 4, y - 1 ) , then applying this

B (3, - 1 ) → B' (3 - 4, - 1 - 1 ) → B' (- 1, - 1 )

C (4, - 7 ) → C' (4 - 4, - 7 - 1 ) → C' (0, - 8 )

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104

Eastbound Train: 86mph

Westbound Train: 104mph

Answer:

Cards C and E

Step-by-step explanation:

Remember that irrational numbers cannot be written as a fraction of two integers:

Is 10 irrational? No, because 10 can be written as a fraction (ex. 10/1, 20/2, etc.)

Is 6/5 irrational? No, because it is a fraction.

Is π irrational? Yes, because it can't be written as a fraction as its digits continue infinitely without repetition.

Is 11/4 irrational? No, because it is a fraction.

Is 8.25635... irrational? Yes, because the ellipsis shows the digits continue infinitely without repetition, otherwise there would be a bar over the digits to show repetition

Is -7 irrational? No, because it can be written as a fraction (ex. -7/1, -14/2, etc.)

Is 6.31(bar) irrational? No, because the bar shows that the digits 3 and 1 repeat.

Therefore, only cards C and E are irrational.

The cards that represent irrational numbers are C (π) and possibly E (8.25635), as π is a well-known irrational number and E is a decimal with multiple digits. The other options represent rational numbers.\

The cards that show irrational numbers are:

C. π (pi) - π is an irrational number representing the ratio of a circle's circumference to its diameter.

E. 8.25635 - This number is not known to be irrational based on the given information, but as it is a decimal with multiple digits, it could potentially be irrational.

The other options, A, B, D, F, and G, represent rational numbers, either whole numbers or fractions, and are not considered irrational.

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Solution :

A scatter plot is defined as the mathematical representation of two variables of a given data set. It shows the relationship between the two variables and is plotted graphically.

In the scatter plot attached below, in the x-axis, the number if ice creams are plotted. And the y-axis shows the sales revenue generated by selling ice creams.

Thus the point (12, 190) shows that by selling 12 ice creams, the company generated a sale of $190.

Answer:

what they said was the best explanation

Step-by-step explanation:

The segment lengths for this triangle are given as follows:

Similar triangles are triangles that share these two features given as follows:

There are three triangles in this problem, all of which are similar.

The length of segment PX can be obtained with triangles PQR and PXY, as follows:

PX/30 = 10/40

PX/30 = 1/4

4PX = 30

PX = 7.5.

The length of segment XQ is found applying the segment addition postulate, as follows:

PQ + XQ = 30

7.5 + XQ = 30

XQ = 22.5.

The length of segment XY can also be obtained with the similarity of triangles PXY and PQR, as follows:

XY/36 = 10/40

XY/36 = 1/4

4XY = 36

XY = 9.

The length of segment ZW is obtained with the similarity of triangles PZW and PQR, as follows:

ZW/36 = 24/40

ZW/36 = 0.6.

ZW = 36 x 0.6

ZW = 21.6.

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Answer: 4.5

Step-by-step explanation:

It comes from after you divide 27 ÷ 6

Answer:

4.5 ounces

Step-by-step explanation:

Okay, to find out how much rice is in each container, you need to divide the 27 ounces into 6 equal groups.

This can be calculated using division.

27 ÷ 6 = ?

27 ÷ 6 = 4.5

Therefore, there are 4.5 ounces in each container.

The value of m/RXU is 37 degrees

Corresponding angles are known as any pair of angles which on the same side of one or two lines a cut through by a transversal line.

It is important to note that if a transversal intersects two parallel lines, the corresponding angles of the lines would be equal.

From the diagram shown, we can see that angles SXT and RXU are corresponding angles cut through by a transversal parallel line.

This is expressed as;

m/SXT = m/RXU

Reason: They are corresponding pair of angles

Now, substitute the value of m/SXT

We have;

37° = m/RXU

Then,

m/RXU = 37 degrees

Thus, the value of m/RXU is 37 degrees

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Answer:

Fourth-degree trinomial

Step-by-step explanation:

7x⁴ + 7x³ + 10x

There are three terms, and the biggest degree (exponent) is 4. Therefore, this is a fourth-degree trinomial.

Note:

Hope this helps!

Answer:

Step-by-step explanation:

If the solutions are x = -3 and x = -1, then (x - 3) (x - 1) will give us our answer. Using the FOIL method,

(x - 3) (x - 1)

x^2 - x - 3x + 3

x^3 - 4x + 3 = 0

Your answer is 3

Answer:

Step-by-step explanation:

6dm=60 cm=600 mm

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Answer:

EACG

Step-by-step explanation:

1. √49a²b² = 7ab; 1 is E

2. √36a²b = 6a√b; 2 is A

3. √25ab² = 5b√a; 3 is C

4. √81ab = 9√ab; 4 is G

Answer:

X= -11

Step-by-step explanation:

Combine the two equations to equal a supplementary line

(X+91)=(x+111)=180

Solve for x by reversing the equation

(x)+(x)=(180-91)+(-111)

x=-22/2

x=-11

then check it

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I dont have an explanation, sorry

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, \(x_1=-2, y_1=6, x_2=-8, y_2=k\)

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Substitute   \(x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}\) into the formula above

\(\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5\)

Therefore, the value of k is 1.5

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