Consider the figure below: (DE and BC are parallel)

Answers

Answer 1

If DE and BC are parallel, their sides must be proportional.

2/x+1 = 5/4x-2
Use cross multiplication:
8x-4=5x+5
3x=9
x=3

Plug this in:
x: 3
AE: 3+1 = 4
CE: 4(3)-2 = 12-2 = 10
AB: 2 + 5 = 7
AC: AE+CE = 4 + 10 = 14

Related Questions

Determine the total value for the account given the principal, rate, and time.

Compound interest account

Principal: $2000

Rate: 2%

Time: 7 years

Answers

now, this is assuming the compounding period is annually, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases} \\\\\\ A=2000\left(1+\frac{0.02}{1}\right)^{1\cdot 7}\implies A=2000(1.02)^7\implies A\approx 2297.37[/tex]

A line has a zero slope and passes through the point (4,-9). What is the equation of the line?
(No links please, just a simple answer)

Answers

keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.

Please help I'll mark brainliest.

Answers

Answer:

Step-by-step explanation:

120

Total = 120

Number of entrees = 12

Mean = 120 / 12

Mean = 10

Please help me no links

Answers

Answer:

Step-by-step explanation:

And it is the solid line because it is less than OR equal to

Dotted line would just be less than

Jorge has 24 ounces of baking powder to use for baking loaves of bread. If each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?

loaves of bread

Answers

Jorge has 24 ounces of baking power to use.
If each loaf of bread needs 1/4 which is equivalent to 0.25. He would be able to bake 96 loaves of bread

24/0.25= 96 loaves of bread

What is the simplest form of

2(3x-2y) + 3(x-3y)

Answers

Answer:

9x - 13y

Step-by-step explanation:

2(3x - 2y) + 3(x - 3y)

Use distributive law a(b + c) = ab + ac

⇒ 2·3x - 2·2y + 3·x - 3·3y

⇒ 6x - 4y + 3x - 9y

Gather like terms:

⇒ 6x + 3x - 4y - 9y

Combine like terms:

⇒ 9x - 13y

Pls help i will give 5 starts and brainliest question is down below 9:22

Answers

Answer:

r, p, q

Step-by-step explanation:

Answer:

#30 is 8.40 B)

#31 is R P Q A)

Step-by-step explanation:

Shane found a website that gives the daily weather report from mars. for 4 days, shane recorded the daily high and low temperatures on mars.use the dropdowns to complete each statement. table of daily high and low temperatures in degrees celsius. on day 1, the low was negative eighty-two; the high was negative twenty-four. on day 2, the low was negative eighty-three; the high was negative twenty-six. on day 3, the low was negative eighty-four; the high was negative twenty-seven. on day 4, the low was negative eighty-four; the high was negative twenty-eight.a. the average temperature on day 2 was blank.b. the difference of the average high temperature and the average low temperature for all four days is blank.c. the day with the greatest average temperature was blank.

Answers

The average temperature on day 2 was -54.5.

What is Average?

This is usually calculated with the sum of the numbers divided by how many numbers are present.

The average temperature on day 2 = -83-26 /2 = -54.5The difference of the average high temperature and the average low temperature for all four days include the following:

Day one = -82-(-24) = -58

Day two = -83-(-26) = -57

Day three = -84-(-27) = -57

Day four = -84-(-28) = -56

The day with the greatest average temperature was Day one = -82-24/2 = -53.

Read more about Average here https://brainly.com/question/20118982

Answer:

Step-by-step explanation:

What is the total cost of a new car that has a price of $24,000 and a sales tax rate of 9%?

Answers

Answer:

26,160.00

Step-by-step explanation:

24,000 + 9% = 26,160.00

Have a wonderful day! Dream a good dream of good people. :)

Answer:

The answer is

→ $26,160

Step-by-step explanation:

In this problem, it says that the total cost of the new car is the price of $24,000 plus a sales tax of 9%. For the problem, it's obvious to use addition, because when you buy something, most of the time they add taxes.

So,

24,000

+ 9%

‾‾‾‾‾‾‾‾‾‾

26,160

Therefore, 26,160 is the correct answer for your problem.

A movie director needs to purchase 325 films. The film has a volume of 965 in', and the density of each film is 7.6 g/in?. Each film can be purchased for $0.34 per kilogram. What is the cost of the films?

Answers

The volume of the films is the amount of film in the case

The cost of the films is $810.41

How to determine the cost of the films?

The given paramerers are:

Volume = 965 cubic inchesDensity = 7.6 gram per cubic inches

The mass of the films is calculated as:

Mass = Density * Volume

This gives

Mass = 7.6 * 965 g

Evaluate

Mass = 7334 g

Express as kg

Mass = 7.334 kg

The unit cost is:

Unit cost = $0.34 per kilogram

The number of films is

n = 325

So, the total cost

Total = 325 * 0.34 * 7.334

Evaluate

Total = 810.41

Hence, the cost of the films is $810.41

Answers

Answer:

There are 6 congruent triangles in a regular hexagon.

The triangles are equilateral (all sides are equal in length).

Using side length of equilateral triangle formula:

[tex]\sf x=\sqrt{\dfrac{4}{3}h^2}[/tex]

where x is the side length and h is the height

[tex]\sf \implies x=\sqrt{\dfrac{4}{3}\cdot 6^2}[/tex]

[tex]\sf \implies x=\sqrt{48}[/tex]

[tex]\sf \implies x=4\sqrt{3} \ units[/tex]

Therefore, perimeter = 6 × 4√3 = 24√3 units

Radius = side length of triangle = 4√3 units

6 congruent traingles

Side Be a

[tex]\\ \rm\rightarrowtail h=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 6=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 12=\sqrt{3}a[/tex]

[tex]\\ \rm\rightarrowtail a=12/\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail a=4\sqrt{3}[/tex]

Perimeter:-

4(4√3)=16√3units

PLEASE ANSWER QUICKLYY IK ITS TEDIOUS CUZ THERES A LOT BUT MATH EXPERTS, HELP

Answers

Step-by-step explanation:

i answered these 3 already.

The amount of a radioactive substance remaining after t years is given by the function f(t) = m(0.5)", where m is the
initial mass and h is the half-life in years. Cobalt-60 has a half-life of about 5.3 years. Which equation gives the
mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain?

Answers

Using an exponential function, it is found that the equation is:

[tex]f(1.8868) = 60(0.5)^{1.8868}[/tex]

Which means that approximately 16.22 mg remain.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, the equation is:

[tex]f(h) = m(0.5)^h[/tex]

We work with a 50 mg Cobalt-60 sample, hence m = 60, and considering a half-life of 5.3 years, in 10 years we have h = 10/5.3 = 1.8868. Hence the equation is:

[tex]f(1.8868) = 60(0.5)^{1.8868} = 16.22[/tex]

Approximately 16.22 mg remain.

More can be learned about exponential functions at https://brainly.com/question/25537936

X-4/4=8 Solve this variable on this equation

Answers

Answer:

x=9

Step-by-step explanation:

divide 4 by 4 to get 1

x-1=8

9-1=8

Hey there!

x - 4/4 = 8

x - 1 = 8

ADD 1 to BOTH SIDES

x - 1 + 1 = 8 + 1

CANCEL out: -1 + 1 because it give you 0

KEEP: 8 + 1 because it give you the x-value

NEW EQUATION: x = 8 + 1

SIMPLIFY IT!
x = 9

Therefore, your answer is: x = 9

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

What is the area of this figure?

Answers

Answer:

74km

Step-by-step explanation:

7 + 7 = 14

15 + 12 = 27

5 + 8 = 13

9 + 11 = 20

14 + 27 = 41

41 + 13 = 54

54 + 20 = 74

What is the mean of the following data set?

3.245, 3.678, 3.3, 2.499, 2.9, 3.206, 2.081

Answers

Answer:

2.987

Step-by-step explanation:

The mean is calculated by dividing the sum of the terms by the # of terms.

For this problem, add all of the terms together:

3.245 + 3.678 + 3.3 + 2.499 + 2.9 + 3.206 + 2.081 = 20.909

Now, divide the product by the number of terms there are. There are 7 terms.

20.909 ÷ 7 = 2.987

PLSS HELPP

Write down the smallest positive integer, n, such that 294n is a perfect square.

Answers

Step-by-step explanation:

Closest square root to 294 is 17(289) + 5

294 --> 9 is 287.

289 - 287 = 2.

2 is the biggest positive integer

helppppppppppp!

do not send links.

Answers

Answer:

0.8-0.6=0.2 or 1/5, one fifth.

Step-by-step explanation:

hope this helps

The question is below:

Answers

Answer:

Step-by-step explanation:

The original antenna revolves at a rate of 30 per 2 minutes, or 15 per minute.

Twice as fast = 15 X 2 = 30 per minute

Only the data in Table D fits.

660 / 22 = 30

720 / 24 = 30

3. What is the area of the triangle below? (1 point) O 6.0 ft2 O 8.6 ft2 O 15.0 ft? O 17.2 ft2

Answers

Answer:

A ≈ 8.6 ft²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × 7 × 3 × sin55°

= [tex]\frac{1}{2}[/tex] × 21 × sin55°

= 10.5 × sin55°

≈ 8.6 ft²( to 1 dec. place )

answer fast its a test q.
based on the statement is true?

Answers

Answer:

the right answer is F (exterior angle of triangle is equal to its sum of opposite interior angle of a traingle)

Answer: W = 40 degrees.

Step-by-step explanation: When you're finding a missing interior angle, all you need is the angle measurements of the other two angles. According to the picture, we have two 70's given, which both add up to 140. All the interior angles of a triangle need to add up to 180, and we have 140 so far. That's where the missing angle comes in. When you subtract 140 from 180, you get 40, which is your missing angle.

Let me know if this is right! :)

What is one thing you would not do when finding the question in a word problem?
A. Look for a problem similar to the word problem you are trying to solve.
B. The question may not be directly stated.
C. So you can understand what the facts are in the word problem.
D. To define your strategy or game plan to solve the word problem.
ill give brainliest and 100 points

Answers

Answer:

A. Look for a problem similar to the word problem you are trying to solve is the answer.

What is the difference between a metric and a norm?

Answers

Answer:

A norm and a metric are two different things. .

Step-by-step explanation:

The norm is measuring the size of something, and the metric is measuring the distance between two things. A metric can be defined on any set . It is simply a function which assigns a distance (i.e. a non-negative real number) to any two elements .

The major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.

What is measurement?

It is defined as the numerical quantity that gives an idea about an object's size, length, width, and many more. It can be used to compare two objects.

The major difference between metrics and norms is as follows:

A metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.Metrics may be expressed on almost anything, however, a norm can only be defined on vector spaces but since the definition of a norm requires that the things measured by the norm be added and scaled.

Thus, the major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.

Learn more about the measurements here:

brainly.com/question/4725561

#SPJ4

Which angle is supplementary to 6

Answers

Answer: Angle 3

Step-by-step explanation:

Please help graph this inequality

Answers

Answer:

View attached graph

Step-by-step explanation:

Hope it helps!

Find only C please i don't need A or B

Answers

the answer for c is (4,-5)

Write the first 8 triangular numbers

Answers

Answer:

1, 3, 6, 10, 15, 21, 28, 36. Notice that the first 2 terms are odd, followed by another 2 even terms, and then another 2 odd terms, before 2 even terms again.

23 Safia says,
3, 13 and 23 are all prime numbers so
all numbers that end in 3 must be prime.
Explain why she is wrong.

Answers

Wrong because there will be sometimes a number that will be dividend by three completely.

See :-

93/3 = 31

63/3 = 21

33/3 = 11

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex]~←(>▽<)ﾉ

Answer:

Step-by-step explanation:

We only need to find one exception to prove that she is wrong.

One such number is 33, which = 3 * 11 ( noit prime).

5 out of 13 students will ride in a car instead of a van

Answers

Answer:

Step-by-step explanation:8

Answer:

the answer is 8 i think xddd

What percent is represented by the region that is shaded?

Answers

Answer:

66 percent

Step-by-step explanation:

⅔ are shaded which is 0.6 recurring which as a percentage is 66 percent. may have to say 66.6

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