In rectangle ABCD
triangle ABE is equilateral
triangle CDE is isosceles, with CE = DE
Work out the size of angle x.
Your final answer must say, x =

Answer:

0.

Step-by-step explanation:

Multiplying 3, -2, 5, -1, and 0, we get:

3 x -2 x 5 x -1 x 0 = 0

So, 3(-2)(5)(-1)(0) = 0.

Answer:

Step-by-step explanation:

5x-2=-10x-1=10x3=30x0=0
0 is the very last answer

The equation and solution for given situations are

Situation 1: 1.45x + 3.25 = 9.05; 4 pounds

Situation 2: 850 - 15a = 805; 3 days

Situation 3: 12.50 + 1.50r = 39.50; 18 times

Situation 4: 29.95x + 5.95 = 185.65; 6

Situation 5:  y = x - 5; 37 inches

The linear equation is a mathematical statement that is used to find an unknown quantity or number in a given situation. In this, we used different types of variables to represent the unknown value.

To solve the following situations use different variables and solve them for the value of variables.

Here we have

Situation 1:

A freight company charges $ 1.45 per pound plus a handling fee of $ 3.25. A customer was charged $ 9.05 to ship a package  

Let 'x' be the weight of the package

=> 1.45x + 3.25 = 9.05

=> 1.45x = 5.8

=> x = 4

∴ weight of the package is 4 pounds

Situation 2

A tenant is charged $ 850 for rent on the 5th of the month. For every day they are early, they can deduct $ 15 from the rent. The tenant pays $ 805

Let the tenant pay the rent 'a' number of days early

=> 850 - 15a = 805

=> 15a = 45

=>  a = 3

∴ The tenant paid 3 days early.

Situation 3

Jordan pays $ 12.50 for a city bus pass lowering his bus fare to $ 1.50 per ride. In March, Jordan spent $ 39.50 to ride the city How many times did he ride the bus

Let Jordan ride for 'r' time

=> 12.50 + 1.50r = 39.50

=> 1.5r = 27

=> r = 18

∴  Jordan ride the bus 18 times

Situation 4

Jung purchased several video games priced at $ 29.95 and the shipping cost is $ 5.95. His total purchase is $ 185.65

Let Jung buy 'y' number of games

=> 29.95x + 5.95 = 185.65

=> 29.95x = 179.7

=> x = 6

∴ Jung purchased 6 video games.

Situation 5:

Milo is five inches shorter than his brother, Jayce. Milo is 42 inches tall

Let Jayce is 'x' inches and Milo is 'y' inches

=> y = x - 5

=> 42 = x - 5   [ From the data ]

=> x = 37 inches

Therefore,

The equation and solution for given situations are

Situation 1: 1.45x + 3.25 = 9.05; 4 pounds

Situation 2: 850 - 15a = 805; 3 days

Situation 3: 12.50 + 1.50r = 39.50; 18 times

Situation 4: 29.95x + 5.95 = 185.65; 6

Situation 5:  y = x - 5; 37 inches

Learn more about Linear equations at

https://brainly.com/question/11897796

#SPJ1

If Molly bought a watch in Singapore for 58 Singapore dollars.  the difference between the amounts that Molly and Louis paid for their watches, in pounds, is £1.06.

To compare the prices paid by Molly and Louis in the same currency, we need to convert their respective amounts to pounds.

First, we convert Molly's purchase of 58 Singapore dollars to pounds:

58 Singapore dollars x £0.57/1 Singapore dollar = £33.06

Next, we convert Louis's purchase of 336 Hong Kong dollars to pounds:

336 Hong Kong dollars x £1/10.50 Hong Kong dollars = £32.00

Molly paid £33.06 for the watch, while Louis paid £32.00. The difference in the amounts paid is:

£33.06 - £32.00 = £1.06

So, the difference between the amounts that Molly and Louis paid for their watches, in pounds, is £1.06.

Learn more about price here:https://brainly.com/question/1153322

#SPJ1

Answer:

The answer you're looking for is 40%

Step-by-step explanation:

If you divide 12(numerator) by 30(denominator), you get 0.4.
After that, if you want to convert the decimal to a percent you always have to multiply by 100.

[tex]\frac{12}{30} =0.4=0.4 x 100=40%[/tex]

I hope this was helpful!

Answer:

[tex]625m^{2}[/tex]

Step-by-step explanation:

The given expression is already written in function notation.

Function notation is a way of representing a mathematical relationship between two variables, where one variable (usually denoted as x) is the input and the other variable (usually denoted as y) is the output. In this case, y is a function of x, which means that the value of y depends on the value of x.

To write the linear equation y = 2x + 5 in function notation, we replace y with f(x) to get:

f(x) = 2x + 5

This means that f(x) is a function of x, where the output f(x) is equal to 2 times the input x plus 5. The variable f(x) represents the value of y for a given value of x.

Learn more on linear equation here: https://brainly.com/question/2030026

#SPJ1

Roger would have 20 workdays in the month if it starts on a Monday and there are at least 20 workdays each week.

Two or more expressions with an Equal sign is called as Equation.

Assuming a month has four weeks, each with at least 20 workdays, we can calculate the total number of workdays in the month starting on a Monday as follows:

Week 1: Monday to Friday = 5 workdays

Week 2: Monday to Friday = 5 workdays

Week 3: Monday to Friday = 5 workdays

Week 4: Monday to Friday = 5 workdays

So the total number of workdays in the month is:

5 + 5 + 5 + 5 = 20

Therefore, Roger would have 20 workdays in the month if it starts on a Monday and there are at least 20 workdays each week.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9

Answer:

Let x be the amount of sales Ryan made in that month.

Ryan's commission on the sales would be 5% of x, which is 0.05x.

Adding the commission to his base salary gives his total income for the month, which is $1400 + 0.05x.

Since his paycheck for the month was $1710, we can write the equation:

$1400 + 0.05x = $1710

To solve for x, we can first subtract $1400 from both sides:

0.05x = $310

Then divide both sides by 0.05:

x = $6200

Therefore, Ryan made $6200 in sales that month.

The coordinates of A′, B′, C′, and D′ for the reflection across the x-axis is given as: A'(2, -3), B'(5, -5), C'(7, -3), and D'(5, -2).

A(2, 3)  ⇒ A'(2, -3),

B(5, 5)  ⇒  B'(5, -5),

C(7, 3)  ⇒  C'(7, -3),

D(5, 2)  ⇒ D'(5, -2).

Thus, the coordinates of A′, B′, C′, and D′ for the reflection across the x-axis is given as: A'(2, -3), B'(5, -5), C'(7, -3), and D'(5, -2).

Know more about the reflection across the x-axis,

https://brainly.com/question/30043812

#SPJ1

The correct question is-

Figure ABCD is reflected across the x-axis. What are the coordinates of A′, B′, C′, and D′?

The figure is attached.

16 + 5

Because Dan has 16 pencils and he gets 5 more

The required sample sizes are given as follows:

a) Previous estimate of 0.52: n = 1839.

b) No previous estimate: n = 1842.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of 0.995, so the critical value is z = 2.575.

The margin of error is given as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For an estimate of 0.52, the parameters are given as follows:

[tex]M = 0.03, \pi = 0.52[/tex]

Hence the sample size is obtained as follows:

[tex]0.03 = 2.575\sqrt{\frac{0.52(0.48)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.575\sqrt{0.52 \times 0.48}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.52 \times 0.48}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.52 \times 0.48}}{0.03}\right)^2[/tex]

n = 1839.

Without a previous estimate, the sample size is given as follows:

[tex]0.03 = 2.575\sqrt{\frac{0.5(0.4)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.575\sqrt{0.5 \times 0.5}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.5 \times 0.5}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.52 \times 0.5}}{0.03}\right)^2[/tex]

n = 1842.

More can be learned about confidence intervals at https://brainly.com/question/25890103

#SPJ1

From the image given, inequality is -2≤x<8 from x≥-2, x<8. It serves as a concrete example of inequality.

Broadly speaking, a mathematical phrase that defines an order relationship between two integers equivalent algebraic expressions, showing whether one is bigger than, equal to, smaller than, or smaller than and equal to the other.

The sentence "5x - 4 > 2x + 3" seems like an equation because the mathematical sign for "equals" has indeed been replaced by an arrowhead. It serves as a concrete example of inequality. From the image given, inequality is -2≤x<8 from x≥-2, x<8.

Therefore, from the image given, inequality is -2≤x<8 from x≥-2, x<8.

To learn more about inequality, here:

brainly.com/question/20383699

#SPJ1

The height of the trapezoid is h = 4, and the answer is B.

A trapezoid, also known as a trapezium, is a four-sided polygon with two parallel sides, also called the bases. The non-parallel sides are called legs, and they can have different lengths. The parallel sides are perpendicular to the legs.

There are two types of trapezoids:

Isosceles trapezoid: This type of trapezoid has two parallel sides of equal length and two legs of equal length.

Scalene trapezoid: This type of trapezoid has two parallel sides of different lengths and two legs of different lengths.

We can use the formula A = 1/2 * h * (b1 + b2) to solve for h. Substituting the given values, we get:

28 = 1/2 * h * (6 + 8)

28 = 1/2 * h * 14

28 = 7h

h = 4

Therefore, the height of the trapezoid is h = 4, and the answer is B.

To know more about height visit:

https://brainly.com/question/10726356

#SPJ1

The value of x is given as follows:

x = 4.8.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

In the context of this problem, the parameters are given as follows:

Applying the Pythagorean Theorem, the value of x is obtained as follows:

x² + 14² = (x + 10)²

x² + 196 = x² + 20x + 100

20x = 96

x = 96/20

x = 4.8.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Answer: B

Step-by-step explanation: Expressions that include x within the denominator can be solved to find values that cannot be expressed within the domain of the graph. Because there are clear vertical asymptotes at x=1 and x=5, the graph is formed around these areas. The main difference between B and C is that in order for the answer to be C, the graph must pass through y=1, and the graph displayed does not represent that.

The transformation is a reflection over the x-axis.

On the given graph we can see two triangles, one is pointing up and the other one is pointing down, from that we clearly can see that we hade a kind of reflection.

Now, the distance between the base of the top triangle and the x-axis is 4 units.

The distance between the top side of the bottom triangle and the x-axis is aslo 4 units.

Then the reflection is over the x-axis.

Learn more about reflections at:

https://brainly.com/question/4289712

#SPJ1

Answer:

First: P, R. Second: 3.

Step-by-step explanation:

In this, you can see the first tree diagram with C,R C,B and C,W.

Then when you go to the other diagram it's P,R P,B and P,W.

Therefore the combination P,R is missing from the tree diagram and belongs to the box.

When you count the number of combinations:

1, P,R

2, P,B

3, P,W

Therefore they are a total of 3 combinations.

The triangle can be classified as follows:

NUMBER 4: obtuse

NUMBER 5: obtuse

NUMBER 6: obtuse

NUMBER 7: right

NUMBER 8: right

NUMBER 9: acute

NUMBER 10: right

To classify the triangle as Right, Obtuse, or Acute, follow the following steps:

1. Calculate the sum of squares of the two smaller sides.

2. Compare it to the square of the longest side.

3. If the sum is greater, your triangle is acute. If they are equal, your triangle is right. If the sum is less, your triangle is obtuse.

NUMBER 4

6² + 7² = 58

9² = 81

58 < 81 (obtuse)

NUMBER 5

10² + 12² = 244

16² = 256

244 < 256 (obtuse)

NUMBER 6

8² + 16² = 320

(8√6)² = 384

320 < 384 (obtuse)

NUMBER 7

20² + 21² = 841

29² = 841

841 = 841 (right)

NUMBER 8

8² + 3² = 73

(√73)² = 73

73 = 73 (right)

NUMBER 9

8² + 10² = 164

12² = 144

164 > 144 (acute)

NUMBER 10

9² + 15² = 306

(3√34)² = 306

306 = 36 (right)

Learn more about triangles on:

https://brainly.com/question/1058720

#SPJ1

The vector V in linear form will be v = –11i + 6j i.e. A.

In mathematics, a vector is a mathematical object that has both magnitude and direction. It is typically represented as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Now,

Vector RS can be represented as the difference between the coordinates of R and S:

RS = S - R

RS = (-36, 11) - (-25, 5)

RS = (-36 + 25, 11 - 5)

RS = (-11, 6)

To represent RS in linear form, we can use the components of the vector as coefficients of the basis vectors i and j:

RS = -11i + 6j

Therefore,

               the correct option is v = -11i + 6j.

To know more about vector visit the link

https://brainly.com/question/29740341?referrer=searchResults

#SPJ1

Answer:

A is right

Step-by-step explanation:

a. To find the number of trout in 2.5 months, we can substitute n = 2.5 into the given equation:

T = 1800 (1.15)^n

T = 1800 (1.15)^2.5

T ≈ 2708.67

Therefore, there will be approximately 2,709 trout in the lake after 2.5 months.

b. To find the number of trout 2 months before the season opened, we need to use a negative value of n that represents the time before the start of the trout season. If we assume that the start of the season is month 0, then 2 months before the start of the season would be month -2. Thus, we can substitute n = -2 into the given equation:

T = 1800 (1.15)^n

T = 1800 (1.15)^(-2)

T ≈ 980.92

Therefore, there were approximately 981 trout in the lake 2 months before the start of the trout season.

Answer:

The mathematical symbols used to indicate that the endpoints of an interval are not included in the graph of an inequality are "<" and ">" signs with a small circle or parenthesis next to them.

The symbol "<" with a circle or parenthesis on the right side indicates that the endpoint is not included, while the symbol ">" with a circle or parenthesis on the left side indicates that the endpoint is not included.

For example, the inequality x > 3 indicates that the variable x is greater than 3, but does not include 3 in its solution set. Similarly, the inequality y < -2 with a circle or parenthesis on the left side indicates that the variable y is less than -2, but does not include -2 in its solution set.

Step-by-step explanation:

The value of the median of the data is 35.

Algebraic expression can be defined as combination of variables and constants.

A box plot is a graphical representation of a data set that shows the distribution of the data, as well as the central tendency and the variability of the data. In this case, the box plot displays the number of push-ups completed by 9 students in a PE class.

The box plot has a number line from 9 to 56 with tick marks every 2 units. The box extends from 20 to 42.5 on the number line, which means that the middle 50% of the data (i.e., the interquartile range) lies between 20 and 42.5. The line in the box represents the median of the data, which is the value that separates the data set into two equal halves.

In this case, the line in the box is at 35, which means that half of the students completed more than 35 push-ups, while the other half completed fewer than 35 push-ups.

Therefore, the value of the median of the data is 35.

To learn more about Algebraic expression from given link.

https://brainly.com/question/953809

#SPJ1

Answer:

8/3

Step-by-step explanation:

To find how many miles are in one hour, we need to scale up the distance covered in 1/4 hour to the distance covered in 1 hour.

We can start by finding the distance covered in 1 hour:

2/3 mile in 1/4 hour = (2/3) ÷ (1/4) = 8/3 miles in 1 hour

Therefore, the ball covers 8/3 miles in one hour.

Answer:

8/3 miles an hour

Step-by-step explanation:

Because you can travel 2/3 in 1/4 (or 0.25) of an hour, that means you can travel 4 times that distance in 1 hour, assuming the velocity is constant.

To find this then, we simply multiply 2/3 by 4  (2/3*4/1) to get our final answer of 8/3 miles an hour.

The oven will heat up by 18 degrees in 1 minute at this rate.

What is expressions ?

Expressions can be simplified, evaluated, or manipulated using mathematical rules and operations. They are used in a variety of mathematical contexts, such as algebra, geometry, calculus, and more.

We can start by finding the rate of temperature increase per minute. Since the temperature rose 3 degrees in 1/6 of a minute, we can multiply both sides by 6 to find the rate per minute:

3 degrees ÷ (1/6 minute) = 18 degrees per minute

So the oven heats up at a rate of 18 degrees per minute. To find how much the oven will heat up in 1 minute, we simply multiply the rate by the time:

18 degrees per minute × 1 minute = 18 degrees

Therefore, the oven will heat up by 18 degrees in 1 minute at this rate.

To know more about expressions visit :

https://brainly.com/question/1859113

#SPJ1

Answer:

DG = 12 , GC = 24

Step-by-step explanation:

DC is a median of Δ ABC

on each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GC = 2 DG , then

DG + GC = DC , that is

DG + 2 DG = 36

3 DG = 36 ( divide both sides by 3 )

DG = 12

thus

DG = 12 and GC = 2 × 12 = 24

The answer of the given question based on the  length in each isosceles right triangle is given below,

An isosceles right triangle is right triangle in which two legs have the same length, making it isosceles triangle, and one of angles is right angle, making it right triangle.  an isosceles right triangle,  two acute angles are congruent, each measuring 45 degrees, and  hypotenuse is equal in length to legs multiplied by √2.

The isosceles right triangle is special case of  45-45-90 triangle, where  angles measure 45 degrees, 45 degrees, and 90 degrees, respectively. In  45-45-90 triangle, the hypotenuse is equal in length to  legs multiplied by √2.

a. If the hypotenuse is 102√, then each leg is the same length as the hypotenuse divided by √2. Therefore:

Leg = 102√/√2 = 102

b. If one leg is 92√, then the hypotenuse is the length of that leg multiplied by √2. Therefore:

Hypotenuse = 92√ * √2 = 92 * 2 = 184.

To know more about Hypotenuse visit:

https://brainly.com/question/11958431

#SPJ1

Answer:

1100 boys were in the parade

Step-by-step explanation:

1650 students took part in a parade, there were twice as many boys as girls

B = number of boys

G = number of girls

B + G = 1650

We know that there were twice as many boys as girls, so

B = 2G

G = (1/2)b (substitute this into B+G = 1650)

B + 1/2B = 1650

After solving, we know that there were 1100 boys

Answer: I belive there is 1,100 boys in the parade

Step-by-step explanation: I hope it helps

Answer:

A square is a rhombus.

Step-by-step explanation:

When rotated 45 degrees, a square can sometimes be a rhombus (aka a diamond). A rhombus can have four equal sides with four right angles, just like a square.

A trapezoid cannot be a parallelogram. A parallelogram has two sides that are parallel with each other going horizontally and two that are also parallel but going diagonally.

A parallelogram opposite sides are equal while rectangles have opposite sides that are equal as well as all of its adjacent sides being perpendicular to form right angles. A parallelogram has no right angles. The diagonals of a rectangle are equal whereas the diagonals of a parallelogram are not.

A rectangle is a closed 2D shape with four straight edges and four right angles, also the diagonals are equal. A square on the other hand is a closed 2D shape with four straight edges, four right angles, and four equal sides. Squares can be rectangles but not all rectangles can be squares.

I hope this helps.

Have a great day!

Answer:

-1/5(x-6)^2+3

Step-by-step explanation:

+3 makes the graph go up by 3

-6 makes the graph go right 6

we put a negative outside of (x-6) since this goes down and is a -x^2 parabola

no clue about 1/5 just kept putting numbers outside of (x-6) to eventually get the width.

Therefore, the area of triangle XYZ is (1/2)bh = (1/2)(15)(15√3) = 225√3. Therefore, the area of triangle XYZ is 225√3.

Triangle is a three-sided polygon that has three angles and three sides. It is one of the basic shapes in geometry and is a very important concept in mathematics. It is also used in various fields, such as physics and engineering. Triangles can be classified into different types, such as right triangles, isosceles triangles, acute triangles, obtuse triangles, and equilateral triangles. Triangles are also used to form polygons, such as quadrilaterals, pentagons, and hexagons.

To find the area of triangle XYZ, we must first calculate the length of each side of triangle XYZ. The length of each side can be determined by multiplying the length of each side of triangle ABC by five.

Since all three sides of triangle ABC are equal in length, then each side of triangle XYZ will be 5 times the length of triangle ABC. Therefore, the length of each side of triangle XYZ is 5 times the side length of triangle ABC, or 15.

The area of the triangle can be calculated using the Triangle Area formula, A = (1/2)bh, where b is the base of the triangle and h is the height of the triangle. Since we know the length of each side of triangle XYZ, we can use these values to calculate the base and height of the triangle. The base of the triangle is 15, and the height of the triangle is 15√3.

Therefore, the area of triangle XYZ is (1/2)bh = (1/2)(15)(15√3) = 225√3. Therefore, the area of triangle XYZ is 225√3.

To know more about triangle click-
https://brainly.com/question/17335144
#SPJ1