Answer:
The statement A is Angle 2 is congruent to angle 3
The statement is Angle 3 is congruent to angle 7
Step-by-step explanation:
The given information are;
The given parallel lines = p and q
The given transversal = r
The angles from the top left at the intersection of p and r = 1, 2, 4, 3
The angles from the top left at the intersection of q and r = 5, 6, 8, 7
The 2-column table is presented as follows;
Statement \({}\) Reasons
p is parallel to q and r is a transversal \({}\) Given
A \({}\) Vertical angles are congruent
B \({}\) Correlated angle theorem
Angle 2 is congruent to angle 7 \({}\) Transitive property
We have the orientation of the angles given as follows;
1, 2
3, 4
5, 6
7, 8
Therefore, we have;
A = Angle 2 is congruent to angle 3 \({}\) Vertical angles are congruent
B = Angle 3 is congruent to angle 7 \({}\) Correlated angle theorem
To give;
Statement \({}\) Reasons
p is parallel to q and r is a transversal \({}\) Given
Angle 2 is congruent to angle 3 \({}\) Vertical angles are congruent
Angle 3 is congruent to angle 7 \({}\) Correlated angle theorem
Angle 2 is congruent to angle 7 \({}\) Transitive property
Answer:
A: Angle 2 is congruent to angle 3
B: Angle 3 is congruent to angle 7
Step-by-step explanation: I just took the quiz :)))
PLS HELP THIS IS DUE
Answer:I have no idea
Step-by-step explanation:
5 + 5 = baby 5???
The measure of one right triangle is 32 degrees more than the measure of the smallest angle. Find the measures of all three angles.
The smallest angle of the right triangle is 120 degrees, but the problem has no solution since the third angle becomes negative.
There is no such right triangle that satisfies the given condition of the problem.
Let x be the smallest angle of the right triangle.
The second angle is x + 32.
The third angle is 58 - 2x.
The sum of the three angles of a triangle is 180 degrees.
Simplifying the left side of the equation:
x + x + 32 + 58 - 2x
= 180
Solving for x: x = 120
The smallest angle of the right triangle is 120 degrees, but the problem has no solution since the third angle becomes negative.
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Find the largest six digits number which is divisible by 120 exactly.
Answer:
999,960
Step-by-step explanation:
let x be a multiple of 120
120x ≤ 999,999
999,999 / 120 = 8333.325
8333 ≤ x ≤ 8334
8333(120) = 999,960
8334(1200) = 1,000,080 this is a 7-digit number
Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960
pls answer asap i need this answer quick plus the full explanation #4
Answer:
Her Verticle ramp support was 5.5 ft tall.
Step-by-step explanation:
In this type of question, you would need to use the saying "soh cah toa".
Soh Cah Toa is a saying that people use for Sin, Cosine, and tagent. Each of those mean
Sine: opposite/hypotenuse Cosine: Adjacent/hypotenuse and Tagent: Opposite/Adjacent
In this specific question to figure out how tall or high her support is or needs to be have to 20 degree angle off the ground, you will need to use Sin which is opposite over Hypotenuse or x/16
To find the answer in your calculator you would do:
Sin(20)=x/16
First thing you do is the get the x on one side by itself so you would multiply 16 on both sides giving you:
16 × Sin(20)= x
You would then follow to put Sin(20) in your calculator giving you 0.34202014332
After that you multiply that number by 16
5.47232229321
Rounding to the nearest tenth you get answer:
5.5
Grabbed a system of equations to determine the solution.
y=2x+4.
and
y=x+9
Answer:
The solution to both lines would be (0,4)
y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation
Answer:
In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.
Step-by-step explanation:
i need help can some one help
Answer:
18/24 or 75%
Step-by-step explanation:
Okay so you already know that he got 16/24 which means that there were 8 questions that were wrong because 24-16= 8
So he has 16 points that we know of and 8 questions that he got wrong.
If he lost 1/4 of a point when he got it incorrect 1/4= 0.25
0.25 x 8 = 2points
So he got to points
16+ 2= 18 so now it is 18/24
If you have to show Out for 100% it would be 75%
Hope it helped!
Use the Rational Zero Theorem to find all potential rational zeros of the polynomial y=2x2+5x−24. Which of these is NOT a potential zero?
As x = -7 & x = 2 are zeroes of y=2x²+5x−24, option b. (5) and option d. (7) are NOT a potential zero.
How do you find rational zeros using the Rational Zero Theorem?Finding a polynomial's zeros requires the use of the rational zero theorem and synthetic division.
To generate a list of all the function's potential rational zeros, use the Rational Zero Theorem.
Analyze potential zeros via synthetic division.
The result is a zero if the remainder is 0.Any rational zero must take the form p/ q, where p is a factor of the constant term and q is a factor of the leading coefficient, if the coefficients of a polynomial function are integers and stated in descending order of the exponents.
P(x)= x² + 5x -14
p(x) = (x+7)(x-2)
y = (x+7)(x-2)
0 = (x+7)(x-2)
x+7 = 0 , x-2=0
x = -7 , x = 2
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Use the Rational Zero Theorem to find all potential rational zeros of the polynomial y=2x2+5x−24. Which of these is NOT a potential zero?
a. x = -7
b. x = 5
c. x = 2
d. x = 7
By Using the Rational Zero Theorem, All of these are not the potential zeros of the polynomial y = 2x² + 5x - 24
What is Rational Zero Theorem?The Rational Zero Theorem states that if a polynomial has rational zeros, then the zeros must be the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. In this case, the potential rational zeros are:
For example:- constant term = 24 and Leading coefficient = 2.
So, p/q = ±1, ±2, ±3, ±4, ±6, ±12, ±24
To determine which of these is not a zero, we can substitute each into the polynomial and check if the result is zero. For example, when we substitute x = 1 into the polynomial, we get:
y = 2x² + 5x - 24
At x = 1
y = 2(1)² + 5(1) - 24
y = 2 + 5 - 24
y = 19 ≠ 0
At, x = 1 it is not possible.
Check, on x = 2
y = 2(2)² + 5(2) - 24
y = 8 + 10 - 24
y = -6 ≠ 0
y = 2 is also not possible.
Check, on x = -2
y = 2(-2)² + 5(-2) - 24
y = 8 - 10 - 24
y = -26 ≠ 0
y = -2, is also not possible.
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Use the Rational Zero Theorem to find all potential rational zeros of the polynomial y=2x2+5x−24. Which of these is NOT a potential zero?
a. x = 1
b. x = 2
c. x = -2
d. all of these
Determine which of the following signals are periodic. If a signal is periodic, determine its period. (a) x[n]=e
2πn/5
(b) ×[n]=sin(
19
πn
)
(a) The signal x[n] = e^(2πn/5) is periodic with a period of 5.
(b) The signal x[n] = sin(19πn) is periodic with a period of 2.
Signal (x[n]) is periodic if there exists a positive integer N such that x[n + N] = x[n] for all n.
In other words, if the signal repeats itself after a certain number of samples, it is periodic. (a) x[n] = e^(2πn/5)
To determine if this signal is periodic, we need to find a positive integer N such that x[n + N] = x[n] for all n.
Let's substitute n + N into the equation: x[n + N] = e^(2π(n + N)/5) To check if this is equal to x[n], we need to simplify it using properties of exponential functions: e^(2π(n + N)/5) = e^(2πn/5) * e^(2πN/5)
For x[n + N] to be equal to x[n], e^(2πn/5) and e^(2πN/5) must be equal. However, e^(2πN/5) is only equal to 1 when N is a multiple of 5 (since e^(2π) = 1). Therefore, the period of signal (a) is 5, because x[n] = x[n + 5] for all n. (b) x[n] = sin(19πn) To determine if this signal is periodic, we need to find a positive integer N such that x[n + N] = x[n] for all n. Let's substitute n + N into the equation: x[n + N] = sin(19π(n + N)) To check if this is equal to x[n], we need to use the periodicity of the sine function. The sine function has a period of 2π, which means sin(x) = sin(x + 2π). Therefore, to find the period of x[n], we need to find a positive integer N such that 19πN is a multiple of 2π. Simplifying the equation, we get: 19πN = 2πk, where k is an integer. Cancelling out π, we have: 19N = 2k Since 19 and 2 are relatively prime, the smallest positive integer N that satisfies the equation is 2, with k = 19.Therefore, the period of signal (b) is 2, because x[n] = x[n + 2] for all n.
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685 x8483 - 3846 +483
Answer:
Step-by-step explanation:
i have no idea
how is the bell shaped histogram?
A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.
The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.
The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.
The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.
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To test the effect of a new exercise routine on muscle growth, a researcher sets up the following experiment: 60 volunteers subjects (40 men and 20 women) of average build are selected to participate in the study. Their body mass and muscle sizes (biceps, thighs, etc.) are measured. The researcher gives all the men a DVD with the new exercise routine, and the women a DVD with a standard routine, but only the researcher knows this.
The results of the experiment are likely to be invalid mostly because .
The treatment group and control group were not the same size.
The subjects were volunteers.
The subjects did not know if they were getting the real treatment.
The gender of the subject is a confounding variable in this situation.
The results most probably be invalid because the subjects were voluntary sample.
What is sample in statistics?
Any quantity from a population sample is referred to as a sample statistic. A sample is a collection of components chosen at random from the population. The parameters are the characteristics of the population, and statistics are the characteristics of the sample data. Both the population and the sample are crucial components of statistics.By utilising sample statistics, inferential statistics provides strategies for generalising population features. Consider the following statistic: "50% of kindergarten students in India watch TV for more than 20 hours a week." Not all kindergarten students in India were polled regarding their TV viewing habits in order to reach this conclusion. Instead, by using sample space to estimate the population parameters, this conclusion would have been reached.To know more about statistics check the below link:
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Given
f
(
x
)
=
−
x
−
2
f(x)=−x−2, find
f
(
−
6
)
f(−6).
Answer:
\(\boxed{\tt \: f( - 6) = 4}\)
Step-by-step explanation:
Given polynomial :-
\( \sf \: f(x) = - x - 2\)
To Find :-
\( \sf \: f( - 6)\)
Solution :-
\(\sf \implies \: f(x) = - x - 2\)
\(\underline{ \rm \: Substitute \: the \: value \: of \: x \: that \: is \: 6 \: i nstead \: of \: x \: on \: the \: LHS \: and \: RHS \: of \: the \: given \: equation :-}\)
That is ,
\(\sf \implies \: f( - 6) = - ( - 6) - 2\)
\(\underline{ \rm \: Simplify \: the \: RHS \: on \: t he \: given \: equation :-}\)
As we know that "-" and "-" equals to "+". So "-(-6)" would be represented as +6 (6).
\(\sf \implies \: f( - 6) = + 6 - 2\)
Subtract 6 and 2 :-
\(\sf \implies \: f( - 6) = 6 - 2\)
\(\sf \implies \: f( - 6) = 4\)
This can't be simplified more . Hence ,
\( \rm \: The \: value \: of \: f(-6) \: would \: be \: \boxed{ \bf 4} \rm .\)
\( \rule{175pt}{2pt}\)
I hope this helps!
Find the 12th term of the geometric sequence 4, 8, 16, ...
Answer:
8192
Step-by-step explanation:
The pattern is mulitply by 2 to get the next term
4*2=8
8*2=16
So: 4,8,16,32,64,128,256,512,1024,2048,4096,8192
4 meters 85 millimeters to milimeters.
Answer:
4085
Step-by-step explanation:
4 meters = 4000 millimeters + 85
= 4085
Answer:
By changing 4 meters 85 millimetres to milimetres we get 4085 milimetres
Step-by-step explanation:
In the first step change 4m to mm
We know that 1m = 1000mm
So, 4m = 4000mm
Now add 4000mm to 85mm
= 4000mm+85mm
= 4085mm
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 5 cm
5 cm
LSA = [ ? ] cm2
Enter
Answer:
\(A=157.07\ cm^2\)
Step-by-step explanation:
Given that,
The radius of a cylinder, r = 5 cm
Height of the cylinder, h = 5 cm
We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of the cylinder is given by :
\(A=2\pi r h\)
Put all the values,
\(A=2\pi\times 5\times 5\\\\=157.07\ cm^2\)
So, the lateral surface area of the cylinder is \(157.07\ cm^2\).
What is the solution to this system of equations?
4x + 5y = 7
3x - 2y = -12
Multiply each equation by a number that produces opposite
coefficients for x ory:
45
The solution is
BN
Answer:
x = -2, y = 3
Step-by-step explanation:
Given equations are,
4x + 5y = 7 ---------(1)
3x - 2y = -12 ----------(2)
Multiply equation (1) by 3
12x + 15y = 21 ------(3)
Multiply equation (2) by (-4)
-12x + 8y = 48 --------(4)
Now add equations (3) and (4),
(12x + 15y) + (-12x + 8y) = 21 + 48
(12x - 12x) + (15y + 8y) = 69
23y = 69
y = 3
From equation (2),
3x - 2(3) = -12
3x - 6 = -12
3x = 6 - 12
x = -2
Therefore, x = -2 and y = 3 will be the answer.
Answer:
What is the solution to this system of equations?
\(4x +5y = 7\)
\(3x-2y=-12\)
The solution is ✔ \((-2,3)\) .
Find m of MLJ
See photo below
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 45Recommendations
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L3 Language arts
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Algebra 2 B.2 Solve one-step and two-step equations: word problems 2BG
The nutritional label on Sugar Buzz soft drink says that a 12-ounce can contains 44.4 grams
of sugar.
Use an equation to find the amount of sugar in each ounce of Sugar Buzz.
grams
Submit
There is 3.7 grams of sugar in each ounce of sugar Buzz.
Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.
Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.
y is proportional to x, hence:
y = kx; k is the constant of proportionality.\
When x = 12 ounce, y = 44.4 grams, hence:
12k=44.4
k = 3.7 gram per ounce
Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.
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Help Save There has been a lot of discussion regarding the relationship between Scholastic Aptitude Test (SAT) scores and test- takers' family income (The New York Times, August 27. 2009). It is generally believed that the wealthier a student's family, the higher the SAT score. Another commonly used predictor for SAT scores is the student's grade point average (GPA) Consider the following portion of data collected on 24 students SA 1,651 1,58134,08 47,888 2.79 2.97 1,940 113,000 3.96 a. Estimate three models: (Round your answers to 4 decimal places.) [If you are using R to obtain the output, then first enter the following commend at the prompt: options(scipen-10). This will ensure that the output is not in scientific notation.] (ii) SAT=Ag + 61GPA + E, and (ii) SAT 8 61Income 82GPA Model 1: . SAT = Model 21SAT Income GPA + Hotner Commoly used predictor for SAT scores is the student's g collected on 24 students. GPA 2.79 2.97 ncome 1,651 1,58134,000 47,000 1,940 113,0003.96 Click here for the Excel Data File a. Estimate three models: (Round your answers to 4 decimal places.) following command at the prompt: options(scipen-10). This will ensu () SAT-80 + 01|ncome + ε. (ii) SAT=6e +81GPA + ε, and (ii) SAT 60 + 81Income + 82GPA E. Model 1SAT "L ] GPA Model 2: Model 3: SAT. . SAT GPA . ncome+ o search c. Use the preferred model to predict SAT given the mean value of the explanatory variable(s). (Round coefficie mean values to at least 4 decimal places and final answer to 2 decimal places.) SAT
The first model, SAT = β₀ + β₁Income + β₂GPA + ε, included both income and GPA as predictors.
The second model, SAT = β₀ + β₁ GPA + ε, only included GPA as a predictor.
The third model, SAT = β₀ + β₁ Income + ε, solely used income as a predictor.
To examine the relationship between SAT scores and explanatory variables, three models were estimated based on the provided data. The first model, SAT = β0 + β1Income + β2GPA + ε, included both income and GPA as predictors. The second model, SAT = β0 + β1GPA + ε, only considered GPA as a predictor, while the third model, SAT = β0 + β1Income + ε, solely used income as a predictor.
The coefficients (β) of the models were estimated using statistical methods. These coefficients represent the relationship between the predictors and the SAT scores. By plugging in the mean values of the explanatory variables into the preferred model, the SAT score can be predicted. The preferred model is the one that is most appropriate for the given data and research question.
To obtain the predicted SAT score, the mean value of the explanatory variable(s) is substituted into the preferred model. The coefficients estimate the impact of the variables on the SAT score. The resulting prediction provides an estimate of the SAT score based on the mean values of the predictors.
It's important to note that the actual values of the coefficients and predictions cannot be provided without the specific values of the coefficients and mean values of the explanatory variables in the given data.
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Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable.
Answer:
x = 12
Step-by-step explanation:
sqrt(x+4) - 3 = 1
First get the sqrt all by itself on one side of the equation. Add 3 to both sides of the equation.
sqrt(x+4) = 1 + 3
sqrt(x+4) = 4
To "fix" the sqrt, that is, "undo it" and get rid of it, you have to SQUARE both sides of the equation.
(sqrt(x+4))^2 = 4^2
x + 4 = 16
subtract 4 to finish up.
x = 12
Check:
sqrt(12 + 4) - 3 = 1
sqrt16 - 3 = 1
4 - 3 = 1
1 = 1 Check!
A relation is plotted as a linear function on the coordinate plane starting at point E at(0, 27)and ending at point F at (5, â’8). What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements. The rate of change for the linear function is Choose. And the initial value is Choose. .
The rate of change of a linear function is the slope of the function.
The rate of change is -7 and the initial value of the function is 27
The points are given as:
\(E = (0,27)\)
\(F = (5,-8)\)
The slope (m) is calculated as:
\(m = \frac{y_2 - y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{-8 - 27}{5-0}\)
Rewrite the fraction as:
\(m = \frac{- 35}{5}\)
Divide -35 by 5
\(m = -7\)
So, the rate of change is -7
The initial value of the function is the value of the function when the input value (i.e. x) is 0.
At point E, we have: \(E = (0,27)\)
So, the initial value of the function is 27
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The rate of change for the linear function is -7 and the initial value is 27.
Question 1 of 5
Find the measure of the exterior 21.
80°
65
OA. 145°
OB. 35°
O C. 15°
O D. 1001
Answer:
the answer is 145°
Step-by-step explanation:
the sum of other two non adjecent interior angle are equal to remot exterior angle . so 80° + 65° = 145°
A measure of association reflects the strength of a relationship and often the __________ of the relationship.
o determination
o stability
o direction
o definition
Write the following equation in slope intercept form 9x - 7y = -7 ( step-by-step)
Answer:
y = \(\frac{9}{7}\)x + 1
Step-by-step explanation:
slope intercept form
y = mx + b
9x - 7y = -7
Subtract 9x to both sides
- 7y = -7 - 9x
Divide -7 into both sides
y = 1 + (9/7)x
y = (9/7)x + 1
What is the angle relationship between the House and Bank? And is the relationship Congruent or Supplementary?
Answer:
congruent
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
so yes, they are congruent because they have the same angle
What is the topic of a piece of informational writing? (100 point)
A. the meanings of words
B. the way the writer feels about the subject
C. the subject or focus
D. the way information is grouped
Answer:
the topic of a piece of informational writing: C. the subject or focus
The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).
What is information writing?Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.
It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.
The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.
Therefore, the correct answer would be option (B).
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if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents. how much would you expect to gain after 20 tosses?
We could expect $30.00 to gain after 20 tosses.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
The probability of all the events occurring need to be 1.
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.
We need to find out How much would you expect to gain after 20 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 20 tosses.
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What is the solution set for 31 >-5 + 4x?
A. x > 9
B. x > -9
C. x < -9
D. x < 9
x must be less than 9 for the inequality to be satisfied. Hence, x 9 is the solution set.
What is inequality?An inequality is a mathematical statement that compares two quantities or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
According to question:To solve the inequality, we want to isolate the variable x on one side of the inequality symbol. We start by adding 5 to both sides of the inequality to get:
31 + 5 > -5 + 4x + 5
36 > 4x
Next, we divide both sides of the inequality by 4 to get:
36/4 > 4x/4
9 > x
Thus, we have found that x must be less than 9 for the inequality to be satisfied. Hence, x 9 is the solution set.
Answer choice D correctly represents the solution set. Answer choices A, B, and C are all incorrect because they do not correctly represent the inequality we found: x < 9.
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Answer:
The correct answer is D. x < 9.
When n = 11, what is the value of 10 + (-n + 6)?
Based on the calculations, the value of the given mathematical equation is -7.
Given the following data:
\(10 + (-n + 6)\)n = 11.To evaluate the given mathematical equation:
How to evaluate an equation.In this exercise, you're required to evaluate the given mathematical equation. Thus, we would substitute the given parameter into the mathematical equation and then simplify as follows:
\(10 + (-11 + 6)\\\\10 -11-6\\\\10-17=-7\)
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