find the area of this shape. 100pts​

The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.

Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.

In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.

Read more on alternate exterior angle here: https://brainly.com/question/26111088

#SPJ1

It would take 9 Teenagers to finish a very large pizza in $15$ minutes.

From the knowlegde of Propotional method/ subject formular in mathematics;

From the questions:

12 Teens finished a very large pizza in $20$ minutes.

The number of teens to finish a very large pizza in $ 15 minutes would calculate thus,

12 Teens=$20$ minutes.

x Teens=$15$ minutes.

then we cross multiply:

x Teens × $20$ minutes =$15$ minutes × 12 Teens

making  x Teens subject of the formula we have;

x Teens=$15$ minutes × 12 Teens/$20$ minutes

x Teens=9 Teens

learn more subject formular on

https://brainly.com/question/16864088

#SPJ1

Answer:

153

Step-by-step explanation:

x+27=180

x=180-27

x=153

The end behavior of the polynomial function is as shown in the attached picture.

Polynomial functions refers to equation that consists of variables that have non negative exponents or powers. The when there is only one term in the equation it is referred to as monomial

The end behavior refers to the behavior of the function at the extremes of the x direction.

The end behavior of a polynomial function is controlled by the term that has the leading terms

In the given question,

Learn more on end behavior at: https://brainly.com/question/1365136

#SPJ1

Using the Pythagorean Theorem formula, the measurement of the unknown side (base) is 12 units.

According to the Pythagorean Theorem formula, c² = √a²+b², where c = hypotenuse, a = perpendicular, and b = base.

The hypotenuse is the longest side of a right triangle.

The shortest side is the perpendicular (adjacent side) while the other side is the base (opposite side).

Since the hypotenuse is given as equal to the square root of perpendicular squared and the base squared, we can compute the base, unknown side, using the following Pythagorean Theorem formula.

c² = √a²+b²

The perpendicular (shortest side) of a right triangle = 5

The hypotenuse (longest side) = 13

c² = √a²+b²

169 = √5²+b²

169 = √25 + b²

The base (unknown side):

b² = 169 - 25

b² = 144

The square root of √144 = 12

b = 12

Thus, the unknown side of the right triangle is the base, measuring 12 units.

Learn more about right triangles at https://brainly.com/question/25016594

#SPJ1

The length of the unknown side is 12 units, which is the base of the right triangle.

The right triangle's perpendicular (shortest side) = 5 units

The right triangle's hypotenuse (longest side) = 13 units

According to the Pythagorean Theorem,

H² = P² + B², Where H = hypotenuse, P = perpendicular, and B = base.

As per the given question, here H = 13 and P = 5

Substitute the values of H = 13 and P = 5 in the Pythagorean Theorem,

(13)² = (5)²+ B²

169 = 25 + B²

B² = 169 - 25

B² = 144

B = √144

B = 12 units

Therefore, the length of the unknown side is 12 units,

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ1

The dimensions width and length are 11 cm and 13 cm, respectively .A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Perimeter: 48 cm

The dimensions width and length are consecutive odd integers:

Width: x

Length: x+2

Equation:

2 [(x+2) + x] = 48

Find the width x:

2 [2x + 2) = 48

4x + 4 = 48

4x = 48 - 4

4x/4 = 44/4

x = 11   Width

Find the lenght x+2:

x+2  ⇒ 11+2 = 13   Length

The dimensions:

Width: 11 cm

Length : 13 cm

11 and 13 are consecutive odd integers.

Check:

2 (length + width) = 48

2 (13 + 11) = 48

2 (24) = 48

48 = 48  

To learn more about perimeter refer to:

https://brainly.com/question/19819849

#SPJ1

Answer:

7 # there were 7 people in the group

Step-by-step explanation:

C = 6.00 + 29.99x # the equation given

215.93 = 6.00 + 29.99x # 215.93 is the total so substitute it for C. Now we solve for x

209.93 = 29.99x # We subtracted 6 from both sides

7 = x # We divided 29.99 from both sides

7 is our answer

Answer:

3.75x + $119 = $400.25

x  = $75

Step-by-step explanation:

Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $119 for parts. The total was $400.25. Write and solve an equation which can be used to determine a, the cost of the labor per hour.

3.75x + parts = $400.25

so:

3.75x + $119 = $400.25

subtract $119 from both sides:

3.75x + $119 - $119 = $400.25 - $119

3.75x = $281.85

divide both sides by 3.75

3.75x/3.75 = $281.85/3.75

x = $75

so the tech charged $75 per hour.

Answer:

Assuming that the interest Is paid out yearly After one year he would have $5550 After 3 years he would have $6838.16 After 5 years he would have $8425.29

Answer:

y-intercept= 12.99      slope= 15.00x+12.99

Step-by-step explanation:

As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.

A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)

Given:

The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.

The dimensions of the New image have 35% width and 35% height.

Width = 0.35 × 300 = 105

Height = 0.35 × 450 = 157.5

Scale factor = New Dimension/Original Dimension

Scale factor of Height = 157.5/450 = 0.35

Scale factor of width =  105/300 = 0.35

Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.

To learn more about scale factor visit:

https://brainly.com/question/22312172

#SPJ13

Step-by-step explanation:

You can add the two fractions by turning 1/2 and 5/6 to have the same denominator. Turn 1/2 into a fraction with a denominator of 6. That simplifies to 1 1/3. Hope this helps yo

Let's call x to an unknown even integer. The next (consecutive) even integer will be x + 2. For instance, if x = 6, then the next even integer will be 6 + 2 = 8.

In consequence, the sum of two consecutive even integers is:

x + (x + 2)

Answer:

It means that you are done.

Step-by-step explanation:

When you are trying to find factors of a number or an algebraic expression, you must keep on factoring until you have all PRIME factors. PRIME factors cannot be further factored. So that means you are done factoring.

example: (a number)

6

factors: 2 and 3

2 and 3 are prime they can't be factored anymore so you have completely factored 6.

example: 20

factors: 4 and 5

5 is prime but 4 is not, so you can factor it more.

4 is 2×2

So 20 factored is 2×2×5

Or algebra example:

Factor x^4 - 81

factors: x^2 - 9 and x^2 + 9

x^2 + 9 cannot be factored more (prime) but x^2-9 can. Its x-3 and x+3.

There are [tex]700[/tex] children and [tex]1300[/tex] adults.

What is system of linear equations?

A System of Linear Equations is when we have two or more linear equations working together.

Let [tex]x[/tex] be number of children and [tex]y[/tex] be number of adults.

Since [tex]2000[/tex] people enter the zoo then [tex]x+y=2000.[/tex]

The admission fee at a local zoo is $ [tex]1.50[/tex] for children and $ [tex]5.00[/tex] for adults and $[tex]7550.00[/tex] collected then [tex]1.5x+5y=7550[/tex].

Thus there are two linear equations to solve.

Substitute [tex]x=2000-y[/tex]  in  [tex]1.5x+5y=7550.[/tex]

[tex]1.5(2000-y)+5y=7550[/tex]

[tex]3000-1.5y+5y=7550[/tex]

[tex]3000+3.5y=7550[/tex]

[tex]3.5y=7550-3000[/tex]

[tex]3.5y=4550[/tex]

[tex]y=\frac{4550}{3.5}[/tex]

[tex]y=1300[/tex]

So [tex]x=2000-y=2000-1300=700.[/tex]

Therefore there are [tex]700[/tex] children and [tex]1300[/tex] adults.

To know more about system of linear equations from given link,

https://brainly.com/question/1365672

#SPJ4

Answer: 6 [tex]\frac{17}{18}[/tex] gallons of gas left in the car

Step-by-step explanation:

   Upon further clarification, this question reads "3/8 of the gas" and not "38 of the gas."

     If Tom's car has 11 1/9 gallons of gas, and we want to know how much gas the car will have left if he uses 3/8 of that, we first need to find 3/8 of 11 1/9.

     "Of" can usually be written as multiplication.

3/8 of 11 1/9 = 3/8 * 11 1/9 = 4 1/6

     Next, we will use subtraction since he uses 4 1/6 gallons of gas.

11 1/9 - 4 1/6 = 6 17/18 gallons

We want to find the places where the line

2x - 3y = 12

intercepts y-axis and x- axis

When the line intercepts y axis, we know that x=0, we replace it in the equation so we can find y value:

2x - 3y = 12

↓

2 · 0 - 3y = 12

↓

0 - 3y = 12

-3y = 12

y = 12 / -3

y = -4

In the same way, we find the interception with x- axis when y = 0. We find the value of x replacing y by 0 in the equation:

2x - 3y = 12

↓

2x - 3 · 0 = 12

↓

2x - 0 = 12

2x=12

x = 12 / 2

x = 6

We locate both points: y = -4 and x = 6:

Finally, we join the points with a straight line

Given the Cyclic Quadrilateral Theorem,

Opposite angles of a Cyclic Quadrilateral are supplementary(that is, they add up to 180°).

Therefore,

To obtain y,

Thus,

Therefore, the values are

m

m

m

Answer:

Step-by-step explanation:

Let the cost of stone sphere is s and stone cylinder is c.

According to question we have equation:

Solve it for s:

Substitute the value of c:

The equation that represents the sentence will be (1/14)xy ·[x² + 3y].

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sentence is given below.

One-fourteenth times x cubed times y plus three-fourteenths times x times y squared.

Convert the sentence into an expression. Then we have

⇒ (1/14)x³y + (3/14)xy²

Simplify the expression, then we have

⇒ (1/14)x³y + (3/14)xy²

⇒ (1/14)xy ·[x² + 3y]

The equation that represents the sentence will be (1/14)xy ·[x² + 3y].

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

A: $188.75

B: $566.25

Step-by-step explanation:

To find the amount of the discount you can either multiply the original price ($755) by 1/4 or you can divide by 4.

Either way will get you $188.75. This is a quarter of the original price and is what is subtracted from the original sale price ($755). To find the sale price after the discount you do:

755-188.75=$566.25.

To check this you can do 755 × 3/4.

Hope this helps.

Please Mark Brainliest!!!

Answer:

What he said

Step-by-step explanation:

The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

To know more about profit and selling price, visit:

https://brainly.com/question/13797142

#SPJ9

The correct answer for the given problem is option (D) .

growth rate in the initial population of 1.08.. So, the equation for solving this population growth problem is 10,000(1.08) ²⁰

Before twenty years, the actual population was 10,000.

Population growth per year = 8% = ((100+8)10,000)/100=10,800.

So, there will be an addition of 800 people to the population every year.

After a period of twenty years, the total population was 10,000 + 19×(800) = 25,200.

Population for t years = (Initial Population)× (Growth or Decay Rate)×time

Using the above population increment formula,

Time( in years) ----->Population

0------>10000

1------->10000 (1.08)

2------->10000(1.08)(1.08)

3------->10000(1.08)(1.08)(1.08)

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

n ----->10000(1.08)

Here, we are required to have a population after 20 years, i.e., n= 20. The required equation, which is used for solving population growth problem, is 10000(1.08)²⁰

To learn more population growth , refer :

https://brainly.com/question/18269549

#SPJ4

The values of the angles for the two parallel lines will be ∠1 = 115°, ∠2=115°, ∠3=148°, and ∠4 = 148°.

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point.

Given that the lines s and t are parallel to each other. The values of the different angles will be:-

∠1  = 115° Exterior angle property

∠2 = 115° Vertically opposite angle

The value of angle ∠3 will be calculated by the supplementary angle property.

∠3 = 148°

The value of angle ∠4 is 148 by vertically opposite angle property.

∠4 = 148°

To know more about lines and angles follow

https://brainly.in/question/2710053

#SPJ1

The △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.

So, △ABE ≅ △CDE:

Therefore, the △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.

Know more about the congruency of triangles here:

https://brainly.com/question/2938476

#SPJ13

Answer:

(x+6)+x=20 Andy

Step-by-step explanation:

X represents Andy

X+6 represents juana who did 6 more problems

(X+6)+x=20

2x+6=20

2x=14

X=7

P(A) = P(6) = 0.003

answer: 0.003

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

The equation y = mx + b, where y is the y-coordinate, denotes a linear function. m represents the line's slope, or how steep it is. The coordinate for x is x.

The equation y = mx + b, where y is the y-coordinate, denotes a linear function.

To learn more about Linear function refer to:

https://brainly.com/question/15602982

#SPJ13