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The measure of the base angles of the isosceles triangle ∠JEF and ∠JFE are;

m∠JEF = m∠JFE = 80°

An isosceles triangle is a triangle that has a pair of congruent sides and a pair of congruent angles.

The trapezoid in the question, based on the drawing in a similar online question, is formed by dividing the semicircular arc into 9 smaller (congruent) arcs.

The number of arcs the semi circular arc is divided by the dimensions and radial location of the stone = 9

The vertex angle of each isosceles triangle = 180° ÷ 9 = 20°

The measure of the base angles of the triangle ΔJEF = (180° - 20°) ÷ 2 = 80°

The base angles of the isosceles triangle ΔJEF = ∠JEF and ∠JFE

The measure of the base angles of the isosceles triangle are;

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Answer:

If you're talking about the 5.6.4 Journal: The Stone Arch assignment, then the actual answer is

JEF = 84

JFE = 84

Step-by-step explanation:

Bonus* for number 12 the answer will be 12 degrees.

I did the assignment and got an A+

Hope I was able to help

Answer:  In point slope form It would be y = 4x - 4

Step-by-step explanation: The point-slope form of a line is given by the equation:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

In your case, the slope of the line is 4, and the point that the line passes through is (2,4). Plugging these values into the point-slope formula, we get:

y - 4 = 4(x - 2)

Simplifying, we get:

y - 4 = 4x - 8

Adding 4 to both sides, we get:

y = 4x - 4

(1.53/1.34) is the equivalent expression for 1.5 cubed over 1.6 raised to the fourth power plus all increased to the power of -7. (-6).

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.

given

All numbers raised to the power of negative six are 1.5 cubed over 1.3 raised to the fourth power.

1.53 is equal to 1.5 cubed over 1.3.

1.53 1.3 raised to the fourth power is equal to 1.5 cubed over 1.3.

(1.53/1.34) is the product of 1.5 cubed over 1.3 raised to the fourth power and all increased to the power of negative six (-6)

The expression is therefore (1.53/1.34). (-6).

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Answer:

6000

Step-by-step explanation:

1 significant figure means that you only keep the first number of the value, and the rest is rounded.

Answer: 6000

Step-by-step explanation:

6491 contains 4 significant figures. 6491 rounded to 3 sig figs is 6490, to 2 sig figs is 6500, and to 1 sig figs is 6000.

Calculator Use. Round a number to a quantity of significant figures that you provide. Enter whole numbers, real numbers, scientific notation or e notation.

The ratio of males to the total number of people present is 5/9.

In the given question, there were 48 females and 60 males present at the high school pep rally.

We have to find the ratio of males to the total number of people present.

As we know that,

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.

Total females = 48

Total Males = 60

Total people = Total females + Total Males

Total people = 48 + 60

Total people = 108

Now the ratio of males to the total number of people present = Total Males/Total People

The ratio of males to the total number of people present = 60/108

The ratio of males to the total number of people present = 5/9

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A simplified ratio of 12:22, or 12 males to 22 people.

The ratio of males to the total number of people present can be found by calculating the proportion of males to the total number of people. To do this, we need to divide the number of males by the total number of people. In this case, there were 48 females and 60 males present, for a total of 108 people. Therefore, the ratio of males to the total number of people can be found by dividing 60 by 108, which is equal to 0.55. This ratio can be simplified by dividing both the numerator and denominator by the greatest common factor, which in this case is 5. This gives us a simplified ratio of 12:22, or 12 males to 22 people.

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The results of the algebraic expressions by means of distributive property are listed below:

Case 9: - 6 · x + 10

Case 10: - 24 · x + 18 · y

Case 11: 15 · y - 10 · x

Case 12: - 8 · x - 28

Case 13: - 7 · x + 14

Case 14: - 24 · x + 12

In this question we have six cases of algebraic expressions that must be simplified by means of distributive property, which states that a combination of three real numbers x, y and z has the following relationship:

x · (y + z) = x · y + x · z

Now we proceed to simplify each expression by means of distributive property:

Case 9

2 · (- 3 · x + 5)

- 2 · 3 · x + 2 · 5

- 6 · x + 10

Case 10

6 · (- 4 · x + 3 · y)

- 6 · 4 · x + 6 · 3 · y

- 24 · x + 18 · y

Case 11

(3 · y - 2 · x) · 5

3 · 5 · y - 2 · 5 · x

15 · y - 10 · x

Case 12

(- 2 · x - 7) · 4

- 2 · 4 · x - 7 · 4

- 8 · x - 28

Case 13

- 7 · (x - 2)

- 7 · x + 7 · 2

- 7 · x + 14

Case 14

- 3 · (8 · x - 4)

- 3 · 8 · x + 3 · 4

- 24 · x + 12

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Answer:

150

Step-by-step explanation:

x = number of dog owners

x(0.16) = 24

x = 24/0.16 = 150

The direct variation equation is y = 7x. The graph is shown below.

A direct variation equation is an equation that describes a relationship between two variables in which one variable is directly proportional to the other. This means that the ratio of the two variables is always the same, regardless of the values of the variables.

To write a direct variation equation, you need to know the constant of proportionality, which is the value that relates the two variables. Let's call this constant k.

Then, the general form of a direct variation equation is:

y = kx

where x and y are the two variables and k is the constant of proportionality.

Therefore, to write the equation of the direct variation, find the value of k by substituting y = 8.4 and x = 1.2 into y = kx:

8.4 = k(1.2)

8.4/1.2 = k

k = 7

Substitute the value of k into y = kx:

y = 7x

The graph of the equation is shown below.

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Answer:6 km

Step-by-step explanatiotion

the velocity is 36 km per hour

60 minutes per hour so 36/6= 6 km

Answer: A fraction where the denominator (bottom number) is smaller than the numerator (top number). Examples: [tex]\frac{14}{9}[/tex], [tex]\frac{95}{40}[/tex], [tex]\frac{78}{13}[/tex]

Step-by-step explanation:

Answer:

To find the value of w, you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (-9, w) and (x2, y2) = (5, 9). Plugging these values into the formula gives:

slope = (9 - w) / (5 - (-9))

Simplifying this expression gives:

slope = (9 - w) / 14

Since the slope is 1, we can set this expression equal to 1 and solve for w:

1 = (9 - w) / 14

14 = 9 - w

w = 9 - 14

w = -5

Therefore, the value of w is -5.

The length of the Adjacent side = 4

The triangle which consists of at least one right angle triangle i.e 90° angle is known as the Right angle triangle.  

From trigonometric ratios, in a right-angle triangle

Here we have

Given a right triangle  

Tan 0 = 3/4

As we know tan = Opposite side/Adjacent side  

=>  Opposite side/Adjacent side = 3/4    

=>  Opposite side = 3 and Adjacent side = 4

Therefore,

The length of the Adjacent side = 4

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The probability that the product of the numbers on the top faces of four standard six-sided dice will be prime is approximately 0.09%.

To calculate this probability, a table can be created that outlines the 36 possible combinations of numbers on the top faces of four dice. From this table, the number of prime products can be determined. As there are only three primes (2, 3, and 5) in the 36 possible products, the probability of rolling a prime product is 3/36, which is approximately 0.09%. This means that the probability of rolling a prime product on four standard six-sided dice is very low, approximately 0.09%.

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The domain of the linear function beginning with open circle at negative 3 comma negative 5 and ending with an open circle at 3 comma 7 is

In the graph, the input values constitutes the domain, v while the output value is the range.

The domain is controlled by the input values. considering the graph, the domain are values from -3 to 3 with -3 and 3 not inclusive.

this include: -2 -1 0 1 2

It is written in the form {x | −3 < x < 3}

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The number sentence that shows that April can use the distributive property is; Option D: 6 × (40 + 2) = (6 × 40) + (6 × 2)

The distributive property of algebra states that you can "distribute" the contents of one parentheses into the other to find an answer.

For example, we have the equation; a(b + c)

Using distributive property, we now have;

ab + ac

No, we are told that April wants to multiply 6 and 42 using the distributive property. Looking at the options, we can tell that the number sentence that shows she can do it is option D. This can be shown as;

6 × (40 + 2) = (6 × 40) + (6 × 2)

This is because 42 can also be expressed as 40 + 2 and multiplying both by 6 shows distributive property in use.

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The missing options are;

6 × 42 = 42 × 6

6 × (40 + 2) = (6 × 40) + 2

(6 × 42) × 1 = 6 × (42 × 1)

6 × (40 + 2) = (6 × 40) + (6 × 2)

The partial derivative of r with respect to t at (0, 4) is e/4.

To find the partial derivative of r with respect to t, we need to hold the variable s constant and take the derivative of r with respect to t. The derivative of tes/t with respect to t is es/t^2. Since we are holding s constant at 0, we can replace s with 0, so we have e0/t^2 which simplifies to 0. Therefore the partial derivative of r with respect to t at (0, 4) is 0.

On the other hand, to find the partial derivative of r with respect to s, we need to hold the variable t constant and take the derivative of r with respect to s. The derivative of tes/t with respect to s is te/t. Since we are holding t constant at 4, we can replace t with 4, so we have 4e/4 which simplifies to e/4. Therefore the partial derivative of r with respect to s at (0, 4) is e/4.

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The equation of the line that passes through the points (−8, −10) and (6, 3)

The slope, m of the linear function is calculated using the points (−8, −10) and (6, 3)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-10 - 3) / (-8 - 6)

m = (-13) / (-14)

m = 13/14

equation passing through point (6, 3) using the point slope formula

(y - y₁) = m'  (x - x₁)

y - 3 = 13/14(x - 6)

y - 3 = 13/14 x - 39/7

y = 13/14 x - 39/7 + 3

y = 13/14 x - 18/7

The equation of the line in slope intercept form is y = 13/14 x - 18/7

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Answer:

x=a

Step-by-step explanation:

Answer:

14 ft

We are given that a 6 ft tall tree casts a 21 ft shadow. We can assume this relationship is proportional, and as such, we can relate this to another tree of an unknown height that is casting a 49 ft shadow. To do this, we need to create a proportion that helps us solve for the unknown tree's height.

To begin, create a proportional relationship between the two trees, where x is the height of the tree with a 49 ft shadow:

[tex]\displaystyle \frac{6}{21}=\frac{x}{49}[/tex]

Then, cross-multiply the two proportions to create an equation that can be solved for the variable x:

[tex]\displaystyle 6\times49=294\\\\21\times x=21x\\\\294=21x[/tex]

Then, divide both sides of the equation by 21 to isolate the variable:

[tex]\displaystyle \frac{294}{21}=\frac{21x}{21}\\\\x=14[/tex]

Therefore, the tree that casts a 49 ft shadow is 14 ft tall.

Answer:

7 fewer than the number s is s-7

Answer: 7 fewer than a number s = s-7

Step-by-step explanation:

take away 7 from s

The sum of the solutions of the quadratic x² + 7x - 18 = 0 is -7.

Therefore the answer is -7.

Quadratic equations can have two solutions, which are also called roots. The sum of the solutions of a quadratic equation of the form ax² + bx + c = 0 where a, b, and c are constants can be found using the relation

sum of solutions = -b/ a

In this case, the quadratic equation is x² + 7x - 18 = 0, so a = 1, b = 7, and c = -18. Plugging these values into the formula, we get:

Sum of solution = -7/ 1

Sum of solution = -7

--The question is incomplete, the complete question is given below--

"Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

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The sum of the solutions of the

quadratic

x² + 7x - 18 = 0 is -7

The degree of the equation is 2 and so it will have 2 roots. This also means that the equation is a

quadratic equation

.

sum of solutions = -b/ a

The

roots

of the equations are -9 and 2.

Here a=1, b=7 and c= -18.

Hence

sum

of solutions = -b/a = -7/1 = -7

The question is

incomplete

, it should be "Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

The slope of the line is the steepness it shows. Mathematically the slope is represented as the change in y with respect to the change in x.

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The expression for the perimeter of the triangle is; x + (2x + 3) + (x + 9)

The simplified expression for the perimeter of the triangle is; 4(x + 3)

A triangle is a plane shape that has exactly three sides. The perimeter of a triangle is the sum of length of its three sides.

Perimeter of a triangle = length 1 + base + length 3

In the given question, the expression for the perimeter of the triangle is;

length 1 = x

base = 2x + 3

length 3 = x + 9

Perimeter of triangle = length 1 + base + length 3

                   = x + (2x + 3) + (x + 9)

                   = x + 2x + 3 + x + 9

                   = 4x + 12

Perimeter of the triangle is 4x + 12

By factorization, we have;

perimeter of the triangle = 4(x + 3)

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A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, then a total of 421 tiles can mall buy.

Division in mathematics is the process of dividing an amount into equal pieces.

A shopping mall has a total fund of $3,368 to spend on new tiles for the floor.

The cost of one tile is $8.

For finding the total number of tiles that can be bought for $3368 we need to divide the total budget of tile by the cost of one tile.

So, for finding the total number of tiles,

We will divide $3368 by $8

Dividing $ 3368 by 8, we will get the total number of tiles as: 421

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The mall can buy 423 number of tiles.

Given:

The mall has $3,368 to spend on new tiles

Each tile costs $8

We need to calculate:

The number of tiles the mall can buy

Solution:

We can divide the total amount of money the mall has to spend ($3,368) by the cost of each tile ($8) to calculate the number of tiles the mall can buy.

$3,368 ÷ $8 = 423

Therefore, the mall can buy 423 number of tiles.

The mall has $3,368 to spend on new tiles for the floor, and each tile costs $8. To determine how many tiles the mall can buy, we can divide the total amount of money the mall has to spend by the cost of each tile. When we do this, we find that the mall can buy 423 tiles. This means that with their budget of $3,368, the mall can purchase 423 tiles to replace the existing floor. It is important to have a reliable estimate of the number of tiles needed so that the mall can make sure they have enough money to complete the project without running out of funds. With the calculations done, the mall can now purchase the tiles and get started on the renovation.

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Answer:

9√6ab² ,-5-√6ab²…2√6b²a are like radicals.

He made $480 in commission last month

This refers to the fee paid to an agent or employee for transacting a piece of business or performing a service

First, convert 8% into a decimal

8%/100

= 0.08

Multiply the decimal by his sales

0.08 * 6000

480

Therefore, he made $480 in commission last month

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No, trigonometry is not an Indian word. Trigonometry is an area of mathematics that deals with the relationships between angles and sides of triangles.

It is used to solve many problems involving angles, distances, and other geometric shapes. Trigonometry is used in many different fields, such as surveying, engineering, astronomy, and more. Trigonometric functions are used to calculate the angles and sides of triangles, as well as to solve equations involving circles. Trigonometric ratios are also used to find missing sides and angles in right triangles.

Many of the concepts associated with trigonometry were first developed by the Ancient Greeks, but it was not until the 16th century that the foundations of modern trigonometry were found.

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Analysing the given triangle in the question and applying the pythagoras theorem, the length of the third side for the given triangle is 4.

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

The pythagoras theorem is named after the Greek mathematician-philosopher Pythagoras.

In the given triangle, the sides with given length are:

Perpendicular(p) = 3

Base (b) = [tex]\sqrt{7}[/tex]

so , hypotenuse (h) = [tex]\sqrt{p^{2} +b^{2} }[/tex] = [tex]\sqrt{(\sqrt{7}) ^{2} + 3^{2} }[/tex]= 4

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Answer:

x=2 y=9

slope intercept form

y= mx+ b

In general, there are five kinds of task analyses:

Task analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.

In their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:

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