Part B.

Describe two different ways you could find measure of CFD. What is the measure of

this angle?

Answers

Answer 1

Answer:

∠CFD = 60°

Step-by-step explanation:

Along line CE:

∠AFE + ∠AFB + ∠BFC = 180° (sum of angles on a straight line)

(7x + 4) + (8x + 6) + (6x + 2) = 180

collecting alike terms:

7x + 8x + 6x + 4 + 6 + 2 = 180

21x + 12 = 180

21x = 168

x = 8°

We could find the  measure of CFD using:

a) Along line AD:

∠AFB + ∠BFC + ∠CFD = 180° (sum of angles on a straight line).

(8x + 6) + (6x + 2) + ∠CFD = 180

14x + 8 + ∠CFD = 180

∠CFD = `180 - (14x + 8)

∠CFD = 172 - 14x

b) ∠CFD = ∠AFE (vertical opposite angles are equal)

∠CFD = 7x + 4

To find value of ∠CFD, substitute x = 8

∠CFD = 7(8) + 4

∠CFD = 60°

Part B.Describe Two Different Ways You Could Find Measure Of CFD. What Is The Measure Ofthis Angle?

Related Questions

4. One number is 16 more than another. The ratio of the smaller number to
the larger number is 3: 7. What is the value of the smaller number?

Answers

Answer:

12

Step-by-step explanation:

So if the difference between the two number is 16 and the distance between the two numbers in the ratio is 4, that means the real numbers are 4 times greater than the ratio (because 4 * 4 = 16).

This means that you can multiply both sides of the ratio by 4 to get the two numbers 3: 7 --> 3*4: 7 * 4 --> 12: 28.

This means that the smaller number is 12.

hope that makes sense!

What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)

Answers

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

A farmer bought 36 ducks and 52 pigeons. Approximately how many birds did the farmer buy?​

Answers

the answer is 88, because when you add 52+36 it is equal to 88. <3

Write the following expression in exponential form: (2 points) 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5

Answers

Answer:

The answer is [tex]4.5^7[/tex]

Step-by-step explanation:

This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].

2c +3= -11
Remember:

Answers

Answer:

-7

Step-by-step explanation:

Hey there

Let's solve your equation step-by-step.

2c+3=−11

Step 1: Subtract 3 from both sides.

2c+3−3=−11−3

2c=−14

Step 2: Divide both sides by 2.

2c/2 = -14/2

c=−7

Have a wonderful day

what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay​

Answers

C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?

Finding percent rate of change in given function:


For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   [tex]y = (0.98)^x[/tex]

Output when x = x+1:  [tex]y = (0.98)^{x+1}[/tex]

Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]

The percentage of rate of change is found as:

[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

Learn more about exponential growth or decay here:

https://brainly.com/question/11743945

−14.4=−0.6p

I’m bisexual

Answers

That’s coolllllllllllllll

nice :) good for u, wish i could just say that straight up lol

Find the area of the shape shown below plz help

Answers

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

Pls help I need help
Hehhehrhrh

Answers

Answer:

C) 11.4

Step-by-step explanation:

Given m ||n, find the value of x.
(7X+9)
(9x+5)°

Answers

Answer:

         x = 2

Step-by-step explanation:

(7x + 9)° is corresponding angle to (9x + 5)° angle

Therefore:

m║n      ⇒      (7x + 9)° = (9x + 5)°

(7x)° + 9° = (9x)° + 5°     {subtract (7x)° from both sides}

9° = (2x)° + 5°                    {subtract 5° from both sides}

4° = (2x)°                           {divide both sides by 2°}

 x = 2

plz help me
(a²-b²)²+a²b²
factorise
plzz​

Answers

Answer:

a^4+b^4−a^2b^2

Step-by-step explanation:

you have to subtract first

an = -15 + 5(n – 1)
Find the 21st term of the sequence.

Answers

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

85 the 21st term of the sequence.

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

To lean more on Arithmetic progression click:

brainly.com/question/28898589

#SPJ5

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9. Each character in the password cannot be used more than once.

What is the approximate probability that exactly one of the four characters will be a number?

1%
11%
28%
44%

Answers

28 is the right answer sorry if I’m wrong

The approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9.

Total letters = 26

Total numbers = 10

Total = 10 + 26 = 36

Total possibilities = 36×35×34×33 = 1413720

Password with one number = C(10, 1) = 10

With three letters = C(26, 3) = = 2600

Outcomes = 2600×10 = 26000

Favorable outcomes = 26000×4! = 624000

Probability = 624000/1413720 = 0.44 = 44%

Thus, the approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ5

Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

 

2516.22

Step-by-step explanation:

£

 

2516.22

Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.

Answers

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

Write 23/50 as a number compared to 100

Answers

Answer:

46 blocks would be colored.

Step-by-step explanation:

23/50 = ?/100

23/50 x 2 = 46/100

Simplify the expression: 5-−3ℎ −(6-+7ℎ)
a) 11-−4ℎ
b) 11-−10ℎ
c) −-−4ℎ
d) −-−10ℎ

Answers

Answer:

D

Step-by-step explanation:

Which graph best represents a function with range -4 ≤ y ≤ 3?

Answers

Answer:

3rd one

Step-by-step explanation:

The range of a function is the set of output values the function can take

The graph that represents the range [tex]-4 \le y \le 3[/tex] is graph (b)

The range of the function is given as:

[tex]-4 \le y \le 3[/tex]

The above inequality can be rewritten as:

[tex][-4,3][/tex]

This means that,

The output values start from -4 and ends at 3 (inclusive).The endpoints are closed values at -4 and 3

The graph that represents this range is graph (b)

Read more about range at:

https://brainly.com/question/10878781

Is 5.6742 rational number

Answers

Answer:

YES

Step-by-step explanation:

Frank’s Sports store has a 20% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25?

Answers

Answer:

if they are asking how much the percentage is in money here is how you do it: 20x25 divided by 100

20%-----5$

If they ask how much the baseball glove would cost after the discount, it would be

25-5

so the total would be after the discount: 20$

Step-by-step explanation:

Solve the system of linear equations by susbitution! Show your work please!!!

Answers

Answer:

x=5, y=4

Step-by-step explanation:

-3x+5y=5

y=x-1

substitute y

-3x+5(x-1)=5

-3x+5x-5=5

2x=10

x=5

y=x-1

y=5-1=4

What is the absolute value of -7?
1/7
-1/7
-7
7

Answers

Answer:

7 :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

PLEASE HELP ME! THANK YOU IF YOU DO! ​

Answers

Answer:

100,000 ÷ 1.25

100,000/1.25

80,000/1

80,000

The unit cost of the piece of land is 80,000 per hectare

Step-by-step explanation:

A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price?

Answers

666.11
299.75/.45=666.11

since you’re looking for original price instead of the price on sale, you would do the opposite which is to divide.

Answer:

the original price is 545$

Step-by-step explanation:

299.75$ : 55$ = x : 100

55x = 299.75 x 100

55x : 29975

divide 29975 by 55 =

545

please help due asap
dbhdhdhdjdlvdbx

Answers

Answer:

E

Step-by-step explanation:

Hayley's birthday party will cost $27 if she invites 3 guests. How many guests
can there be, at most, if Hayley can afford to spend a total of $36 on her
birthday party? Assume the relationship is directly proportional.

Answers

Answer:

imma say 12 guests

Step-by-step explanation:

sorry if wrong

Select all that apply.
A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points are also on the
graph of the equation?
(3,2)
(-9,-6)
(-12,8)
(-6,-3)

Answers

It is everyone of those except for (-6, 3).

Step-by-step explanation:

4 / 6 = 2/3

2/3 x -9 = -6

2/3 x -12 = -8

2/3 x 3 = 2

2/3 x -6 = -4

When graphing and using the slope-intercept equation, the slope top number tells us to do what? and the bottom number tells us to do what?

Answers

Answer:

Rise over Run

Step-by-step explanation:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

The slope of the line below is -3. Use the coordinates of the labeled point to
find a point-slope equation of the line.

Answers

Answer: y+7= 3(x-5) C

Step-by-step explanation:

HAAAAAAALLLLLLLP

7th Grade IXL

Answers

Answer: This is middle school math?! Man I feel bad for you...

First one: ZZXY

Middle one: ZYXZ

Last one: ZXZY

Answer:

mark the other guy brainliest I answer so he can get it

Step-by-step explanation:

Other Questions
Consider a firm making production decisions in the short run. Select the statement(s) that must be correct. Choose one or more: A. Average total cost will always exceed average variable cost. B. Average total cost cannot decline as output increases, at any level of output. C. Average fixed cost cannot increase with output, at any level of output. D. Average variable cost is always above the average fixed cost. E. Average variable cost cannot decline with output, at any level of output. Mariah has a spinner that has 10 equal sections, each containing a different number from 1 to 10. Mariah determines about how many times the spinner will land on a number that is greater than 7 in 250 spins, and her work is shown below.P (number greater than 7) = StartFraction Number greater than 7 over Total number of sections EndFraction times number of spins = StartFraction 4 over 10 EndFraction (250) = 100.What mistake did Mariah make, if any? Mariah has the formula reversed; it should be the total number of sections over the numbers greater than 7.Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.Mariah should multiply by the number of sections in the spinner rather than the total number of spins.Mariah calculated the prediction correctly and did not make any mistakes. PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST Hey need this ASAP Ive work through almost just need this one _____refers to the "gap" between rich and poor that helped contribute tothe Great Depression." What causes the phases of the moon ? Show how to rewrite 1/5 with the denominator 10 Between the green skinned lime and the yellow skinned lime, which of these are more acidic. 12. Which of the following numbers is contained in the solution set of the inequality|-5x + 351 > 20? Choose the best answer.A beekeeper pays $30 to rent a booth at a farmers' market.She charges $5 for each jar of honey. The graph shows thissituation, which is modeled by the equation y = 5x - 30.Which of the following is true?A. The value of x can be negative.B. The value of y can be negative.C. The value of x can be fractional.D. The value of y cannot be zero.X pls helpppppppppp!!!!!! Which best describes a difference between enslaved people in cities and those on plantations in the 1800s?Enslaved people in cities were not considered to be property, while enslaved people on plantations were thought of as property.Enslaved people in cities often kept some of their wages, while enslaved people on plantations never received any wages.Enslaved people on plantations could learn a trade or a skill, while enslaved people in cities were thought of as unskilled labor.Enslaved people on plantations did less manual labor, while enslaved people in cities spent more hours doing backbreaking work. calculate ine gravitational potential energy of the ball using pe=mgh.(use g=9.8 n/kg)A 4.0-kilogram ball held 1.5 meters above the floor has ________ joules of potential energy He be having more drip thin connies What are the major properties of the sun?PLEASE HELP!! Is this a domain or range?please help :( in what 3 ways is the equator different from the prime meridian? If you have 3.5 L of He to blow up balloons... at STP...a) How many moles of He do you have?b) How many grams of He do you have? What do the decomposers do to return atoms back to the biogeochemical cycles Which region on the graph above has a population growth approaching 0?A. South America. AsiaC. AfricaD. Europe