The center of the circle is G. Below is a student's work to find the
value of x. Explain the error and find the correct value of x.
Answer:
The error are
1) The use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex]
2) The assumption that [tex]m \widehat{BC}[/tex] = 90°
The vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] should be used to find 'x'
x = 5
Step-by-step explanation:
From the drawing of the circle, we are given;
AD = A diameter of the circle
∴ [tex]m \widehat{ACD}[/tex] = 180°
By angle addition postulate, we have;
[tex]m \widehat{ACD}[/tex] = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
By substitution property of equality, we have;
180° = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
[tex]m \widehat{AB}[/tex] = 5·x°
[tex]m \widehat{BC}[/tex] = Not given
[tex]m \widehat{CD}[/tex] = 15·x°
However;
[tex]m \widehat{CD}[/tex] is the vertically opposite angle to [tex]m \widehat{FA}[/tex]
∴ [tex]m \widehat{CD}[/tex] = [tex]m \widehat{FA}[/tex] = (16·x - 5)°
[tex]m \widehat{CD}[/tex] = 15·x° = (16·x - 5)°
15·x° = (16·x - 5)°
∴ 5 = 16·x° - 15·x° = x
x = 5
[tex]m \widehat{BC}[/tex] = 180° - ([tex]m \widehat{AB}[/tex] + [tex]m \widehat{CD}[/tex]) = 180° - (15·x° + 5·x°) = 180° - (20·x°)
[tex]m \widehat{BC}[/tex] = 180 - (20×5)° = 80°
[tex]m \widehat{BC}[/tex] = 80°
The error are the use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex], and the assumption that [tex]m \widehat{BC}[/tex] = 90° rather than the vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] in trying to find 'x', from which x = 5.
Hellllppp “Jason states that ^ABC = ^RST. Kelley states that ^ABC = ^TSR. Which best describes the accuracy of the congruency statements?
Answer:
the answer is C
Step-by-step explanation:
i just took the test
Answer:
C. Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
Right on ED2021
PLZ HELP FAST THIS IS TIMED
Answer:
its 12 100%
Step-by-step explanation: i just did the test
Answer:
The answer for the color red is 7 and for the color blue is 13
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
Please hurry!!!! I need answer ASAP!!!!!
David wants to buy a new bicycle
that cost $295 before a 40%
discount. He finds the cost after the
discount, in dollars, by evaluating
295 – 295(0.40). His brother Michael
finds the same cost by evaluating
295(1 – 0.40). What property can be
used to justify that these two
expressions represent the same cost
after the discount?
A. associative property
B. cominutative property
C. distributive property
D. subtraction property of equality
Answer:
subtraction property for sure its that
What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
please help im not good at this kind of math T-T 20 points :)
Answer:
Step-by-step explanation:
huh
Answer:
Step-by-step explanation:
y=13-3x
when x=0
y=13-3(0)
y=13
when x=1
y=13-3(1)
y=13-3
y=10
when x=2
y=13-3(2)
y=13-6
y=7
when x=3
y=13-3(3)
y=13-9
y=4
when x=4
y=13-3(4)
y=13-12
y=1
Much of the declaration of independence consist of a list what does it list?
Answer: complaints of the wrongs done to the colonists.
i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7
Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Describe the error in the work shown.
Answer:
where is the question
Step-by-step explanation:
plzzz help square paralellogram
Answer:
1. x=12
2. x=7
Step-by-step explanation:
if it is exactly 8:00, How long does it take for the hands of the clock to be pointed in the same direction
Answer:
Hey! do not go to brainly for this, sometimes brainly can be no help and people will scam for points, or maybe try to hack you (pt virus) with those links saying the answers there.. I am not saying this for points but go to https://www.varsitytutors.com/basic_geometry-help/how-to-find-the-distance-between-clock-hands for that
Step-by-step explanation:
So don't waste your time on brainly finding answers, you can run out of points fast, some people wont answer at all.
The perimeter of a regular 6 -sided figure is 30 units, and the length of each side is x + 1 units.
What is the value of x?
Answer:
x = 4
Step-by-step explanation:
since each side is equal to x + 1 and there are 6 sides, to get x alone, you have to subtract 1, six times from the perimeter.
1 × 6 = 6
30 - 6 = 24
then divide that by the number of sides (6)
24 ÷ 6 = 4
x = 4!
pls help me with this problem
Answer:
Angle A: 90
Angle B: 48
Angle C: 42
Side length A (Hypotinuse): 23.9
SIde length B (Opposite): 17.8
Side length C (Adjacent): 16
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0
the 9th term for 7,14,28,56
.......................................................
Increase 280g in the ratio 5:2
Answer:
700
Step-by-step explanation:
Therefore, the increase in 280 in the ratio 5:2 is 700
If correct I’ll give brainlist
Answer:
4/-2 = -2/1 = -2
y = -2x - 16
Luis puts $2,500 into an account that earns 5% interest per year for 3 years. Find the amount of interest earned on the account
Answer:
$375
Step-by-step explanation:
Given data
Principal= $2500
Rate= 5%
TIme = 3 years
We know that the expression for the simple interest is given as
SI=PRT/100
Substitute
SI= 2500*5*3/100
SI= 37500/100
SI= $375
15
Decide whether each expression simplifies to a number less than-1, greater than 1, or
Neither
neither. Mark an X in the correct column for each expression.
Greater than 1
Less than -1
Expression
-7+ (-4)
-(3 ÷ 2)
(-5) ÷ (-3)
(-9) - 6
Answer:
less than -1
less than -1
greater than 1
greater than 1
Step-by-step explanation:
[tex] - 7 + - 4 = - 7 - 4 = - (7 + 4) = - 11[/tex]
LESS THAN -1
________________________________
[tex] - ( \frac{3}{2} ) = - (1.5) = - 1.5[/tex]
LESS THAN -1
________________________________
[tex] \frac{( - 5)}{( - 3)} = \frac{5}{3} = 1.66..[/tex]
GREATER THAN 1
________________________________
[tex]( - 9) - 6 = - 9 - 6 = - (9 + 6) = - 15[/tex]
LESS THAN -1
________________________________
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Answer:
Volume :-
= 1/3 × 3.14 × 9 × 4
= 37.68 m^3
l = √9 + 16
= √25
= 5 cm
Surface Area
= 3.14 × 3 × 5
= 47.1 cm^2
Hope this helps you
Please mark as brainiest
Answer:
33.49
Step-by-step explanation:
the formula for finding the volume of a sphere is 4/3 * pi(3.14) * r^3. the diameter is 4 so half that to get the radius (2). 2^3 = 12. 12 * 3.14 * 4/3 = 33.49
A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 8 companies was selected and the sales and earnings, in millions of dollars, are reported below. Sales ($million) 89.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 Earnings ($million) 4.9 4.4 1.3 8 6.6 4.1 2.6 1.7 Let sales be the independent variable and earnings be the dependent variable. (i) Determine the estimated regression equation and comment on the coefficient of X. (ii) For a small company with $50.0 million in sales, estimate the earnings. (iii) Calculate the standard error of estimate and comment on it. (iv) Find the coefficient of determination and interpret the result.
Answer:
(i) The estimated regression equation is;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X
(ii) The estimated earnings for the company is approximately $4.7096 million
(iii) The standard error of estimate is approximately 29.34
The high standard error of estimate indicates that individual mean do not accurately represent the population mean
(iv) The coefficient of determination is approximately 0.57925
The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]
(i) From the data, we have;
The regression equation can be presented as follows;
[tex]\hat y[/tex] = b₀ + b₁·x
Where;
b₁ = The slope given as follows;
[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]
b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]
From the data, we have;
[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05
[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259
[tex]\overline y[/tex] = 4.2
[tex]\overline x[/tex] = 41.5625
∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005
b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69
Therefore, we have the regression equation as follows;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales
(ii) For the small company, we have;
X = $50.0 million, therefore, we get;
[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096
The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million
(iii) The standard error of estimate, σ, is given by the following formula;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]
Where;
n = The sample size
Therefore, we have;
[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]
The standard error of estimate, σ ≈ 29.34
The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean
(iv) The coefficient of determination (R Square) is given as follows;
[tex]R^2 = \dfrac{SSR}{SST}[/tex]
Where;
SSR = The Sum of Squared Regression ≈ 21.9884
SST = The total variation in the sample ≈ 37.96
Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925
The coefficient of determination, R² ≈ 0.57925.
Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925
trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?
Answer: 56.85
Step-by-step explanation:
So, what you have to do is multiply 15 x 3.79=56.85.
I WILL NOT ACCEPT LINKS! AND WILL REPORT!!! Please help with this geometry question. An explanation would be nice!
ON=5.099
Hope it helps
Two numbers decomposed into prime factors are expressed as follows: 2³. 3. 5 is 2². 3².7 Indicate the number of prime factors Which represents the least common multiple of these numbers
Answer:
2³. 3². 5. 7
Step-by-step explanation:
Since the first number is 2³. 3. 5 and the second number is 2². 3².7, we multiply the prime number with the highest exponents.
Since 2³. 3. 5 = 2³. 3¹. 5¹. 7⁰ and 2². 3².7 = 2². 3². 5⁰. 7¹ ,we multiply the prime number with the highest powers to get the least common multiple of both numbers, so, we have the L.C.M = 2³. 3². 5¹. 7¹ = 2³. 3². 5. 7
answers r
6 units
7 units
8 units
9 units
Answer:
9 units
Step-by-step explanation:
Answer:
6 units
Step-by-step explanation:
SOMEONE HELP ME PLS
Find the indicated angle. (What is ?)
Plz help I’m bad at math
Answer:
1 is 136, 2 is 44, annd 4 is 44
Step-by-step explanation:
One letter is selected from the word " UNNECESSARY" .Find the probability of (a)an 'R' (b)an'E' (c)an 'O' (d)a 'C
Answer: A. 1/11
B. 2/11
C. 0
D. 1/11
Hope this helps!
Look at screen shot below
----------------------------------------------------------
Answer:
1st option is the correct answer