please help !!
Determine the length of side FE
18
20
21
26

Please Help !!Determine The Length Of Side FE18202126

Answers

Answer 1

the length of EF is 11 units.

How to solve similar triangles?

Since triangles DEF and GHF are both right triangles, we can use the Pythagorean theorem to find the length of EF.

Let's first find the lengths of DE and EF.

DE = DF + FE = 13 + x, where x is the length of FE.

GF = DE - DG = (13 + x) - 4 = 9 + x.

GH = 4.

Now, using the Pythagorean theorem in triangle GHF, we have:

GH² + HF² = GF²

4²+ HF² = (9 + x)²

16 + HF² = 81 + 18x + x²

And in triangle DEF, we have:

DE²+ EF² = DF²

(13 + x)² + EF² = 13²

169 + 26x + x²+ EF² = 169

Simplifying the above equation, we get:

EF²= -26x - x²

Substituting this into the equation we got from the GHF triangle, we have:

16 + HF² = 81 + 18x + x² - EF²

16 + HF² = 81 + 18x + x²+ 26x + x²

HF² = 97 + 44x + 2x²

Now, using the fact that HE + EF = HF, we have:

8 + x = √(97 + 44x + 2x²)

Squaring both sides and simplifying, we get:

4x² + 16x - 225 = 0

Solving this quadratic equation, we get:

x = (-16 ± √(16² - 44(-225)))/(2*4) = (-16 ± 34)/8

Since x has to be positive, we take the positive solution:

x = 3

Therefore, EF = HE + FE = 8 + 3 = 11.

So the length of EF is 11 units.

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Related Questions

What is the solution to x^3+4x^2 >x+4?

Answers

Answer:

Step-by-step explanation:

it’s equals 0 I think

PLS HELP :))
The property taxes on a house were $1265
. What was the tax rate if the house was valued at $115,000
? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.

Answers

The tax rate of a house valued at $115,000 with a property tax of $1265 is 110%. or $110 per $1,000 of property value.

What is property tax?

The property tax is the levy imposed on the assessed value of the property of an individual or corporation.

Property tax is usually levied as a percentage of the assessed value.

Data and Calculations:

Property tax = $1265

House value - $115,000

Tax rate = 110% [tex](\$1265\div\$115000 \times 100)[/tex]

Thus, the tax rate of a house valued at $115,000 with a property tax of $115,000 is 110%. or $110 per $1,000 of property value.

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Given RP = 22, RA = 6, and PQ is tangent to .R at Q, find PQ.

Answers

Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{22}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{PQ} \end{cases} \\\\\\ PQ=\sqrt{ 22^2 - 6^2}\implies PQ=\sqrt{ 484 - 36 } \implies PQ=\sqrt{ 448 }\implies PQ\approx 21.17[/tex]

how will the product change if one number is increase by a factor of 12 and the other is decreased by a factor of 4

Answers

Using factors, we can conclude that the new product will be 48 time more than the old product.

Define factors?

In mathematics, the factor of a number is a divisor of the inputted integer that entirely divides it, leaving no residue. We can use a variety of techniques, including the division method and the multiplication method, to identify a number's components.

Let the product be P.

Let the numbers be a and b.

Now,

P = a × b

According to the question.

Let a is increased by a factor of 12 and b by 4:

P = 12a × 4b

P = 48 × a × b

Hence, we can conclude that the product will increase by a factor of 48.

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Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x

Answers

The only equivalent expression is option (a) [tex]7^x[/tex].

What is expression ?

An expression in mathematics is a group of symbols that represent a statistical correlation or quantity, such as integers, variables, and operators. It may contain exponents, logarithms, and trigonometric functions in addition to mathematical operations like addition, multiplication, multiplication, and division. It may also contain constants, variables, and functions. Expressions can be used in a variety of subjects, including mathematics, calculus, geometry, and statistics, to represent mathematical models, resolve equations, and carry out calculations.

To find equivalent expressions for[tex]21^x/3^x[/tex], we can try to simplify the expression using exponent rules.

21 can be factored as 7*3, so we can write:

[tex]21^x/3^x = (7 × 3)^x/3^x = 7^x × 3^x/3^x = 7^x[/tex]

Therefore, we can see that option (a) 7^x is equivalent to the given expression.

To check the other options:

b) [tex](7/3)^x[/tex] = [tex](7^x)/(3^x)[/tex] which is not equivalent to the given expression.

c) [tex]3^(2x+1)[/tex] can be written as [tex]3^(2x)[/tex] × [tex]3^1[/tex] = [tex](3^2)^x[/tex] × 3 = [tex]9^x[/tex] × 3 which is not equivalent to the given expression.

d) [tex]7^(x-1)[/tex] can be written as [tex]7^x/7[/tex] which is not equivalent to the given expression.

e) [tex](3/7)^x[/tex] is not equivalent to the given expression.

Therefore, the only equivalent expression is option (a) [tex]7^x[/tex].

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The complete question is:

Which expressions are equivalent to [tex]21^x/3^x[/tex]? Check all that apply.

a) [tex]7^x[/tex]

b) [tex](7/3)^x[/tex]

c) [tex]3^(2x+1)[/tex]

d) [tex]7^(x-1)[/tex]

e) [tex](3/7)^x[/tex]

Triangle ABC aid dilated by a scale factor of 3. Which is an algebraic representation of the dilation?

Answers

Answer:

[tex](3x, 3y)[/tex]

Step-by-step explanation:

The scale factor is 3 so you multiply 3 by the (x,y) to get (3x,3y) as the scale factor

Calculate the area of the shape below

Answers

Answer:

Step-by-step explanation:

Area of rectangle+area of triangle

hope the picture helps

127.6÷10 to the power of 5
im not sure if that is how you type it

Answers

Answer:

338262.124

Step-by-step explanation:

127.6/10 = 12.76 (depending on how many zero is how much you'll move the decimal to the left)

12.76^5 = 338262.124 because it's 12.76x12.76x12.76x12.76x12.76

5)
Given:
Prove:
41 and 22 are complementary.
41 = 23
22= 24
23 and 24 are complementary.
2
3
4

Answers

[tex] \angle3 \: and \: \angle4 [/tex] are complementary.

What is Complementary angle?

If sum of two angles is 90° then we can say that those angles are complementary.

For example, if [tex] \angle \: a + \angle \: b = {90}^{o} [/tex] then angle a and angle b are complementary.

Here are some examples of complementary angles:

30 degrees and 60 degrees45 degrees and 45 degrees20 degrees and 70 degrees15 degrees and 75 degrees10 degrees and 80 degrees35 degrees and 55 degrees25 degrees and 65 degrees40 degrees and 50 degrees5 degrees and 85 degrees12 degrees and 78 degrees.

Here given,

[tex] \angle1 \: and \angle2[/tex] are complimentary.

So,

[tex] \angle1 + \angle2 = {90}^{o} [/tex]

It is clear that [tex] \angle1, \angle2, \angle3, \angle4[/tex] are making a straight angle.

So, we can write,

[tex] \angle1 + \angle2 + \angle3 + \angle4 = {180}^{o} \\ {90}^{o} + \angle3 + \angle4 = {180}^{o} \\ \angle3 + \angle4 = {180}^{o} - {90}^{o} \\ \angle3 + \angle4 = {90}^{o} [/tex]

Here sum of angle 3 and angle 4 is 90°.

According to definition angle 3 and angle 4 are complimentary angles.

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Here is another riddle:

-The sum of two numbers is less than 2
-If we subtract the second number from the first, the difference is greater than 1

The riddle can be represented by a system of inequalities. Write a inequality for each statement.


Name a possible (ordered pair) solution to the riddle.​

Answers

The system of inequalities that represents the riddle is:

x + y < 2 (the sum of two numbers is less than 2)
x - y > 1 (if we subtract the second number from the first, the difference is greater than 1)

One possible ordered pair solution to this system of inequalities is:

x = 1.5
y = 0.5

When you add these two numbers, you get 2 which is less than 2. And when you subtract the second number (0.5) from the first number (1.5), you get 1 which is greater than 1. Therefore, this solution satisfies both inequalities in the system.

Tom has $160,000 in his retirement account. It is earning an APR of 4.57%. What would be the monthly yield on the account for a 30-year period?

Answers

The monthly interest yield on Tom's retirement account for a 30-year period would be $637.71.

Assuming that the interest is compounded monthly, the monthly yield on Tom's retirement account with an APR of 4.57% for a 30-year period can be calculated using the formula:

Monthly Yield = (Principal × Monthly Interest Rate) ÷ (1 - (1 + Monthly Interest Rate[tex])^{(-Number of Months)}[/tex]

Here, Principal = $160,000

APR = 4.57%,

Number of Months = 30 years ÷ 12 months/year = 360 months.

First, we need to convert the APR to a monthly interest rate by dividing it by 12:

Monthly Interest Rate = 4.57% × 12

Monthly Interest Rate = 0.3808%

Monthly Yield = (160000 × 0.3808%) ÷ (1 - (1 + 0.3808%[tex])^{-360}[/tex]

Monthly Yield = $637.71

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(Need help please and thank you!) :)

Answers

Step-by-step explanation:

In order to find the f(x) or y value, you have to replace x with the given one in the table:

x = -1,

[tex]y = \sqrt[3]{ - 1 - 7} = \sqrt[3]{ - 8} = - 2[/tex]

.

x = 6,

[tex]y = \sqrt[3]{ 6 - 7} = \sqrt[3]{ - 1} = - 1[/tex]

.

x = 7,

[tex]y = \sqrt[3]{7 - 7} = \sqrt[3]{0} = 0 [/tex]

.

x = 8,

[tex]y = \sqrt[3]{8 - 7} = \sqrt[3]{1} = 1 [/tex]

.

x = 15,

[tex]y = \sqrt[3]{15 - 7} = \sqrt[3]{8} = 2[/tex]

Also, the correct graph is in the 2nd photo, where the root is (7; 0)

Solve the problem in the picture please!

The answer choices are
A) 5
B) 2
C) 200
D) 100

Answers

Answer:

2

Step-by-step explanation:

as H-20 and W=10

So H-constant. (W)

H=2(10)

H=20

So constant is 2

please solve this fast​

Answers

Answer:

34

Step-by-step explanation:

5+5+2=12

12+6+3=21

21+8+5=34

Answer:45

Step-by-step explanation:

5+5(8)=45

8a = -12 + 2a me need helpppppppppppppp

Answers

Answer: a = -2

Step-by-step explanation:

8a = -12 + 2a

8a - 2a = -12
6a = -12
a = -12/6

a = -2

The answer is a= -2 because that is what it is

Please help meeee

describe an incident that shows how you were doing "selection" during the process of perception. Then, give your own example about a stereotype that you do.

Answers

The description of the incident is shown below

Describing the incident

One incident that shows how selection works in the process of perception is when you are at a party and you hear your name being mentioned in a conversation across the room. In this situation, your attention is immediately drawn to the conversation, and you focus on it while filtering out other sounds and distractions around you.

This is an example of selective attention, where you choose to focus on a particular stimulus and ignore others.

As for an example of a stereotype that I have, it is that all people who live in a certain region or country behave in a particular way.

For instance, I may have the stereotype that people from a particular country are loud and aggressive.

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Which statement best reflects how the cultural setting influences
Sigismondo's attitude in the excerpt from "The City Lost in the Snow"?
A
B
C
D
The competition between snow shovelers makes Sigismondo
excited to prove himself to Marcovaldo.
The fast-paced urban environment explains why workers like
Sigismondo must keep the city moving.
The scarcity of jobs makes Sigismondo appreciate the temporary
employment the snow provides.
The industrialization of the city leads Sigismondo to feel ambitious
about his future opportunities.

Answers

In the excerpt from "The City Lost in the Snow," the statement that best reflects how the cultural setting influences Sigismondo's attitude is: C.

The scarcity of jobs makes Sigismondo appreciate the temporary employment the snow provides. T

his statement reflects the importance of the cultural setting, as it shows that Sigismondo values the opportunity to work and earn money, even if it's temporary, due to the scarcity of jobs in the city.

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6+r=2r+3 how to solve this

Answers

Answer:

soln

6+r =2r+3

6-3=2r-r

3=r

ans r=3

The federal government has developed the body mass index​ (bmi) to determine ideal weights. a​ person's bmi is directly proportional to his or her weight in pounds and inversely proportional to the square of his or her height in inches.​ (a bmi of 19 to 25 corresponds to a healthy​ weight.) a​ 6-foot-tall person weighing 177 lb has bmi 24. find the bmi​ (to the nearest whole​ number) of a person whose weight is 176 lb and whose height is 77 in.

Answers

The BMI​ of a person whose weight is 176 lb and whose height is 77 inches is 21.

First, let's use the given information to find the constant of proportionality in the BMI formula:

BMI = k × (weight in pounds) / (height in inches)²

When the 6-foot-tall person weighing 177 lb has a BMI of 24, we can plug in the values and solve for k:

24 = k ₓ 177 / (72²)

k = 24 ₓ (72²) / 177

k ≈ 9.94

Now we can use this value of k to find the BMI of the person whose weight is 176 lb and whose height is 77 in:

BMI ≈ 21

BMI = 9.94 ₓ 176 / (77²)

Therefore, the BMI (to the nearest whole number) of the person is 21, which falls within the healthy weight range of 19 to 25.

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4 1/5 -5/3 subtract

how do i do this eqation

Answers

Answer:

38/15

Step-by-step explanation:

4 1/5 - 5/3

4 1/5 = 21/5

21/5 - 5/3 = 63/15 - 25/15 = 38/15

So, the answer is 38/15

Quadrilateral ABCD is translated 5 units up. What are the coordinates of
quadrilateral A'B'C'D?
A
D
A(-5, 5)
D(-5, 1)
B' Y
G
C₁
8(-1,5)
C(1, 2)
OA. A'(-5, 0), B'(-1,0), C'(-1, -3),
D'(-5,-4)
OB. A'(-5, 10), B'(-1, 10), C'(-1,7),
D'(-5, 6)
C. A'(-10, 10), B'(-6, 10), C'(-6, 7),
D'(-10, 6)
D. A'(-10, 5), B'(-6, 5), C'(-6, 2),
D'(-10, 1)

Answers

Answer:

it should be B but I could be wrong

Step-by-step explanation:

B

1/5 of a large wall was covered in red paint, 1/10 in blue paint, and 1/4 in green paint. What
percentage of the whole wall is covered in paint (of any colour)?
19%
32%
55%
50%
68%

Answers

Answer:

55% of the whole wall is covered in paint of any color.

Step-by-step explanation:

To determine what percentage of the wall is covered in paint, we need to add the fractions of the wall covered by each color of paint and then convert the result into a percentage.

Red paint: 1/5

Blue paint: 1/10

Green paint: 1/4

First, we need to find a common denominator, which is the least common multiple (LCM) of the denominators 5, 10, and 4. The LCM of 5, 10, and 4 is 20. Now, we can convert the fractions to equivalent fractions with a denominator of 20:

Red paint: (1/5) * (4/4) = 4/20

Blue paint: (1/10) * (2/2) = 2/20

Green paint: (1/4) * (5/5) = 5/20

Now, add the fractions:

Total paint coverage = 4/20 + 2/20 + 5/20 = (4 + 2 + 5)/20 = 11/20

To convert this fraction to a percentage, we can divide 11 by 20 and multiply the result by 100:

(11/20) * 100 = 0.55 * 100 = 55%

Thus, 55% of the whole wall is covered in paint of any color.

x^2-6x-16 when factored is

Answers

Answer: (x+2)(x-8)

Step-by-step explanation:

x^2-6x-16
x^2-8x+2x-16
x(x-8)+2(x-8)
(x+2)(x-8)

1
Type here to search
day
How many more points did Zara score than John?
i
C
Number of Points
Points Scored in Basketball Game
25
20
15
10
5
0
e g
Read and Interpret Scaled Bar Graphs - Quiz - Level C
Mateo
Zara
Player
John
Mila
DONE
7
4
1
2
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5
points
8
9
6
3
76°F Mostly cloudy
X
Th

Answers

Answer:

yes

Step-by-step explanation:

john has 34 marbles

PLS HELP ASP!!!

The state of Colorado is 4 centimeters long and 2 centimeters wide on a map. A cartographer wants to use a scale factor of 3.5 to enlarge the map. What is the area of the enlarged map?

98 cm2
42 cm2
28 cm2
8 cm2

Answers

Answer: 98 cm²

Step-by-step explanation:

When a cartographer enlarges a map with a scale factor, both the length and the width are multiplied by the scale factor. In this case, the scale factor is 3.5.

Original dimensions of Colorado on the map:

Length: 4 cm

Width: 2 cm

Enlarged dimensions using the scale factor of 3.5:

Length: 4 cm × 3.5 = 14 cm

Width: 2 cm × 3.5 = 7 cm

To find the area of the enlarged map, multiply the enlarged length and width:

Area = Length × Width

Area = 14 cm × 7 cm

Area = 98 cm²

The area of the enlarged map is 98 cm².

Describe the transformations that would map the graph
of f(x) = x^2 + 1 to the graph of g(x) = (x − 3)^2 − 2.

Answers

The graph of [tex]g(x)[/tex] is the result of taking the graph of [tex]f(x)\\[/tex], shifting it right three units and down two units.

Identify the shapes that make up the figure at the left. Then find the perimeter and area of the figure to the nearest hundredth.

Answers

Rectangle, semi circle, semi circle

Perimeter: 60.8

Area: 64.2

What is perimeter and area?

In mathematics, the two key characteristics of two-dimensional forms are area and perimeter. The difference between area and perimeter is how much room each type of shape takes up.

Mathematical concepts like area and perimeter are crucial because they are applied to daily living. Any size and form, whether regular or irregular, can use this. Each design has a unique area and perimeter calculation. Forms like triangles, squares, rectangles, circles, spheres, etc. should be known to you. Here, the boundaries and surfaces of all forms are explained.

perimeter= 60.8

each of the three shapes' perimeters separately, then sum them all up to get 60.8.

area= 64.2

Calculate the area of each of the three shapes separately, then sum them all up to get 64.2.

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The complete question attached below,

The required size and perimeter of the Area are respectively 27.42 and 64.26 square units.

What is Perimeter of the shape?

A shape's perimeter is its circumference. How are perimeters determined? By adding the lengths of each side of a shape, the border may be obtained.

A shape comprised of two circles and a rectangle has been provided.

the size of a circle = 12 - 6 = 6

then radius = 3 units

Perimeter = 3+3+3+3+3+3+π(3)

= 18 + 3.14(3)

= 18 + 9.42

= 27.42 units

and

Area = area of rectangle + area of two half circles

= 12(3) + π(3)²

= 36 + 28.26

= 64.26 sq units.

Therefore, the shape's needed area and perimeter are respectively 27.42 and 64.26 square units.

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-(x+5)³ + 2 = 1


im supposed to be solving cubic equations but im stuck plez help

Answers

Answer: X= -4

Step-by-step explanation:

Find the expression for both A: (x+4) (2x - 1)

Answers

Answer:

2x^2+8x-4

Step-by-step explanation:

Screenshot, I WILL GIVE 20 POINTS AND BRAINLIST!!!!

Answers

Answer:

0.7 = 0.70, so 0.17 < 0.70

Other Questions
Tom and John are engaged in buying and selling certain products A and B. Tom BUYS 5 of product A butSELLS twice as much of product B. John on the other hand SELLS three times what Tom BOUGHT ofproduct A and BUYS 13 of product B. At the end of the business day, John banks Ksh 110,000/- whileTom banks Ksh 230,000.Under the assumption that the sale prices for product A and B are the same for the two men, and the costs prices for the products A and B are also the same for the two men, obtain the following:The price for product A which was determined as Ksh 42,727.27 and the price for product B as 44,363.63Question: If there was a mark up of 25% on the cost price and a discount of 15% on the sale price, howmuch would each of the partners have banked at the end of the business day? Find the coordinates of the circumcenter of the triangle with the given vertices. A(2,6), B(8,6), C(8,10) how historical events and geographical events were related in Greek Mythology? pa-answer po thankss a 20 mm diameter hole is drilled on the centerline of a long, flat titanium bar. the bar's cross-sectional dimensions are 85 mm tall by 15 mm thick. the bar is subjected to a tensile load of 24 kn. calculate the maximum stress immediately adjacent to the hole a residence assistant (ra) at a local university devises a plan to spot check the dorm for illegal drinking by randomly selecting a starting door for the first check, and then knocking on every fifth door. what technique is the ra using? (hrwc10p16) a disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. at one time it is rotating at 10.0 rev/s. after 60 more complete revolutions, its angular speed is 14.649 rev/s.. calculate the angular acceleration. As x --> in the expression [tex](1+\frac{1}{x})^{x}[/tex] , the output approaches . TRUE OR FALSE true or false? many people who stutter choose their daily social interaction based on how fluent they feel they will be when they start their day. the adjacency matrix representation of a graph can only represent unweighted graphs. group of answer choices true false Re-write the quadratic function below in Standard Form.y=9(x+2)+8Show steps please in the context of decision making process, after a solution is implemented, the next step is to:group of answer choicesrecognize the need for a decisionevaluate alternative courses of actionmonitor the situationcalculate the probability of success Ben must read at least 140 pages over the next 7 days. Write an inequality that would represent the number of pages Ben must read each day to reach his goal. Write a one step inequality and use x as your variable albert's printing and pressing company is a t-shirt printing shop with four processes: printing (p1), pressing (p2), sealing (s), and finishing (f). the arrival time and processing sequence for three upcoming jobs is shown below. job arrival time processing sequence (processing time in minutes) 1 0 p1(10), p2(20), s(15), f(10) 2 10 p1(10), p2(10), s(15) 3 20 p1(20), s(5), f(10) using the fno rule, what scheduling decision should the dispatcher make at time 45? in spanish speaking countries when saying you phone number, you say each digit true or false in part a, even though the concentrations of the reactants are changed in each trial, the experimentally determined values of the rate constant, k , for each trial should be fairly similar. why is this? wallace is new to school this year. he is very shy and finds it difficult to approach new people. as a result of this, students in his classes believe wallace is standoffish and not very friendly. this creates anxiety and self-doubt in wallace, reinforcing his feelings of shyness. which theory best explains this reciprocity? behaviorism humanistic psychoanalytic social-cognitive trait are americans becoming ruder in their interactions with one another in the business environment? explain and document your reasoning using scholarly and peer reviewed journal articles and/or texts. A stack of 8 glasses is 42 cm tall and a stack of 2 glasses is 18 cm tall. How tall, in centimeters, is a stack of 6 glasses? excluding the outer border, how many matching sets of identical motifs are there in the design of this nineteenth-century quilt from baltimore, maryland?