Part B.
Describe two different ways you could find measure of CFD. What is the measure of
this angle?
Answers
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°
Related Questions
Simplify the expression: 5-−3ℎ −(6-+7ℎ)
a) 11-−4ℎ
b) 11-−10ℎ
c) −-−4ℎ
d) −-−10ℎ
Answers
Answer:
D
Step-by-step explanation:
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
please help due asap
dbhdhdhdjdlvdbx
Answers
Answer:
E
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 3The graph that represents this range is graph (b)
Read more about range at:
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Given m ||n, find the value of x.
(7X+9)
(9x+5)°
Answers
Answer:
x = 2Step-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
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 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]
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
Pls help I need help
Hehhehrhrh
Answers
Answer:
C) 11.4
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:
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
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.
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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 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:
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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
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:
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:
plz help me
(a²-b²)²+a²b²
factorise
plzz
Answers
Answer:
a^4+b^4−a^2b^2
Step-by-step explanation:
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:
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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!
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.
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:
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.
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
−14.4=−0.6p
I’m bisexual
Answers
nice :) good for u, wish i could just say that straight up lol
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].
A farmer bought 36 ducks and 52 pigeons. Approximately how many birds did the farmer buy?
Answers
Is 5.6742 rational number
Answers
Answer:
YES
Step-by-step explanation:
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:
A bike is on sale for 45% off of the regular price. If the sale price is $299.75, what was the original price?
Answers
299.75/.45=666.11
since you’re looking for original price instead of the price on sale, you would do the opposite which is to divide.
Answer:
the original price is 545$
Step-by-step explanation:
299.75$ : 55$ = x : 100
55x = 299.75 x 100
55x : 29975
divide 29975 by 55 =
545
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:
