Answer:
Unit rate = 1.25 inches per yard
Length of fence B on the blueprint = 5 inches
Step-by-step explanation:
We are told that Fence A is 1 1/5 yards long but is 1 1/2 inches long on the blueprint.
This means it's 1.2 yards long but 1.5 inches on the blueprint.
Thus, the unit rate for this blueprint will be; 1.5/1.2 = 1.25 inches per yard
fence B is 4 yards long.
Thus, the corresponding blueprint measurement = 4yards × 1.25 inches/yard = 5 inches.
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
Answer:
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Step-by-step explanation:
A rectangle piece of metal has an area of 32 square centimeters. Its perimeter is 24 centimeters. What are the dimensions of the piece
The dimensions of the piece are l = 8 and b =4.
What are dimensions?
The minimal set of coordinates required to specify any point within a mathematical space is the dimension of that space. Because only one coordinate is required to specify a point on a line, it has a dimension of one.
Here,
Let the length of a rectangular piece of metal = l cm
And the breadth of a rectangular piece of metal = b cm
Perimeter of a rectangular piece of metal = 2(l+b) = 24 cm
Or, l+b = 24/2
Or, l+b = 12 -------- (1)
Area of a rectangular piece of metal = l×b = 32 cm²
Or, l×b = 32 ------- (2)
We know that,
(l - b)² = (l+b)² - 4×l×b
(l - b)² = (12)² - 4×32
(l - b)² = 144 - 128
(l - b)² = 16
(l - b)² = 4
l - b = 4 --------- (3)
Adding equations (1) and (3), we get
l+b+l-b = 12 + 4
2l = 16
l = 8
Now, we put the value of l in equation(1) and we get
8 + b = 12
b =4
Hence, the dimensions of the piece are l = 8 and b =4.
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you are given a rectangular matrix m. your goal is to write a program that, if an element of m is equal to 0, sets that element's entire row and column to 0.
The program for a given rectangular matrix m, if an element of m is equal to 0, sets that element's entire row and column to 0
def zeroify_matrix(m):
rows = len(m)
cols = len(m[0])
rows_to_zeroify = []
cols_to_zeroify = []
for i in range(rows):
for j in range(cols):
if m[i][j] == 0:
rows_to_zeroify.append(i)
cols_to_zeroify.append(j)
for i in range(rows):
for j in range(cols):
if i in rows_to_zeroify or j in cols_to_zeroify:
m[i][j] = 0
return m
It is coded in python for the given problem of recreating a rectangular matrix, for a single element to be 0, the whole row nad column will contain zero elements.
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Solve the system of equations
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to flip the coin in order to obtain a 95% confidence interval of width of at most .18 for the probability of flipping a head
Answer:
AYOOOOO MONEY CHECK
Step-by-step explanation:
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Part a
Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)
Part b
Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)
7ft
24ft
10 ft
Area?
Answer:
238 ft
Step-by-step explanation:
7x24=168
7x10=70
168+70=238
lengthxwidthxheight
Recently, More Money 4U offered an annuity that pays 4.5% compounded monthly If $1,869 is deposited into this annuity overy month, how much is in the account after 4 years? How much of this is interest?Type the amount in the accounts(Round to the nearest dollar)
Given:
More Money 4U offered an annuity that pays 4.5% compounded monthly
so, the interest rate = r = 4.5% = 0.045, and n = 12
If $1,869 is deposited into this annuity every month
so, the value of P = 1869
we will use the following formula:
\(A=\frac{P((1+\frac{r}{n})^{nt}-1)}{\frac{r}{n}}\)We will find the value of A after 4 years, t = 4
So, substitute P = 1869, r = 0.045, t = 4, n = 12
\(A=\frac{1869\cdot((1+\frac{0.045}{12})^{12\cdot4}-1)}{\frac{0.045}{12}}\approx1869\cdot52.48=98,092.285\)Rounding to the nearest dollar
So, the answer will be the balance of the account = $98,092
the first pentagon is dilated to form the second pentagon. drag and drop the answer to correctly complete the statement. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse. the scale factor is response area. a pentagon with a side length of 5. an arrow points to a smaller pentagon with a side length of 1
The scale factor of the dilated pentagon is the ratio of the side length of the original pentagon to the side length of the dilated pentagon.
In this case, the side length of the original pentagon is 5 and the side length of the dilated pentagon is 1. Therefore, the scale factor is 5:1 or 5/1. To calculate the scale factor, divide the side length of the original pentagon by the side length of the dilated pentagon. In this case, the calculation would be 5 / 1 = 5. The scale factor of the dilated pentagon is 5.
We can also use the formula for finding the scale factor of two figures: Scale Factor = Length of figure 1 / Length of figure 2. In this case, the length of figure 1 is 5 and the length of figure 2 is 1. So, the scale factor is 5.
Therefore, the scale factor of the first pentagon to the second pentagon is 5.
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Follow the steps taken by a student to solve the equation below.
1
Solve:
3(x+2)=13-2(x+1)
Step 1:
3r+6=13-2v-2
Step 2:
3r+6=11-2
Step 3:
+6=11
Step 4:
x=15
Which is the first incorrect step in the solution shown above?
Answer:
When the hel.l did x turn into R?
Step-by-step explanation:
its step 2 forogt the variable
write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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9x-2+52=180
it is to hard
9x-2+52=180
That's the answer
Answer:
14.44444444444444444444444444444444444
Step-by-step explanation:
9x - 2 + 52 = 180
simplify
9x +50 = 180
9x = 130
14.4444444444
Can someone please explain the area of a circle in the simplest way possible, no links
So, for the area of a circle, there should be a line in the middle. Correct?
Well, that line is the diameter. Then cut that in half, so if the diameter is 6, the radius is 3.
Then multiply the the radius by the radius, so 3x3 once you get that, multiply the answer by pi. Pi= 3.14, so if you do 3x3x3.14 you should get 28.26. Hope this helps.
this isn’t a question but i just wanted to tell everyone you all are doing great. this year has been hard and everyone is working as hard as they mentally can. i’m so proud of all of you. don’t forget to take breaks and rest.
Thank you so much friend.
I think a advantage of this will be that we will be able to tell our grandchildren about how we survived the pandemic, just like our grandparents talk about World War. Lol.
What is the value of the expression?
3 • [(30 - 8) ÷ 2 + 2]
Answer: 39
Step-by-step explanation:
30-8=22
22/2=11
11+2=13
13 times 3 =39
problem 15.11 (a) verify that equation 15.11, the expression for the ratio of fiber load to matrix load (ff/fm), is valid.
The formula (ff/fm) for the relationship between fiber load and matrix load is correct.
what is fiber load of matrix load ?The load transfers from the matrix to the fiber and vice versa happen through the fiber-matrix interfacial region, which is a crucial component of composites. The majority of authors are in favor of weak interfaces as a way to boost fracture toughness. Crack-bridging and fiber pullout are given the toughening designation.
But, Vm=Am/Ac,
which, upon rearrangement gives Ac/Am=1 /Vim
. Also, from Equation 16.10a,Ec=EmVm+EfVf, which, when substituted for Ec into the previous expression, yields Ff Fm=EmVm+EfVfEmVm-1=EmVm+EfVf-EmVmEmVm=EfVfEmVm
The formula (ff/fm) for the relationship between fiber load and matrix load is correct.
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what is the difference between -15-9?
Answer:
Step-by-step explanation:
-15-9 = -24
I would think about it as adding 15 and 9, but just make the answer negative.
find dy/dx y=e^x(e^-2x+7)
The chain rule is used when a function is composed of two or more functions, where one function is applied to the output of the other. In other words, it is used when a function is "nested" inside another function. Thus, option A is correct.
What is chain rule and the product rule of differentiation?We can solve this problem by applying the chain rule and the product rule of differentiation. Let's begin by simplifying the expression inside the parentheses:
\(y = ex (e^-2x + 7)\)
Now, let's apply the product rule:
\(dy/dx = (ex)'(e^-2x + 7) + ex(e^-2x + 7)'\)
Using the chain rule, we can find (ex)':
\((ex)' = ex\)
And using the chain rule again, we can find \((e^-2x + 7)':\)
\((e^-2x + 7)' = (-2e^-2x)\)
Substituting these values back into the original equation, we get:
\(dy/dx = ex(e^-2x + 7) + ex(-2e^-2x)\)
Simplifying, we get:
\(dy/dx = ex(e^-2x + 7 - 2e^-2x)\)
\(dy/dx = ex(e^-2x - e^-2x + 7)\)
\(dy/dx = ex(7)\)
Therefore, the answer is A) 7.
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Find the derivative of cos^4(5x^2)
Answer:
\(\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle y = \cos^4 (5x^2)\)
Step 2: Differentiate
Basic Power Rule [Derivative Rule - Chain Rule]: \(\displaystyle y' = 4 \cos^3 (5x^2)[\cos (5x^2)]'\)Trigonometric Differentiation [Derivative Rule - Chain Rule]: \(\displaystyle y' = 4 \cos^3 (5x^2) \sin (5x^2) (5x^2)'\)Basic Power Rule [Derivative Property - Multiplied Constant]: \(\displaystyle y' = -40x \sin (5x^2) \cos^3 (5x^2)\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
What is 2+2?
Will make funniest answer brainiest
Problem PageQuestion A Web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 4074 MB. How many downloads of the standard version were there?
Answer:
There were 210 downloads of the standard version.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of downloads of the standard version.
y is the number of downloads of the high-quality version.
The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. The total size downloaded for the two versions was 4074 MB.
This means that:
\(2.6x + 4.2y = 4074\)
Yesterday, the high-quality version was downloaded four times as often as the standard version.
This means that \(y = 4x\)
How many downloads of the standard version were there?
This is x.
\(2.6x + 4.2y = 4074\)
Since \(y = 4x\)
\(2.6x + 4.2*4x = 4074\)
\(19.4x = 4074\)
\(x = \frac{4074}{19.4}\)
\(x = 210\)
There were 210 downloads of the standard version.
Please help fast !!
If m/CGB = 78°, then what is m/DGA?
Answer:37
Step-by-step explanation: The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.--Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world.
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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What are two pairs of opposite sides that are parallel and congruent?
Parallelogram have two pairs of opposite sides that are parallel and congruent.
In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.
For example, let's consider a parallelogram ABCD:
Side AB is parallel and congruent to side CD.Side AD is parallel and congruent to side BC.These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).
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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m/1 = (5x +15)°, m/4= (30x - 60)°
To identify the answer we will use Angles Theorem which is m∠1 = 150. When the transversal line cuts through the two parallel lines, it creates the alternate exterior angles 1 and 8. Both are consistent with the alternate exterior angles theorem. As a result, m1 = m8 and m1 = (50x)°.
m∠8 = 150
Setting both equal, find x 50x = 150.
50x/50 = 150/50 x = 3 when you divide both sides by 50.
Unknown stance
m∠1 = (50x) = 50*3 = 150°
What exactly is a mathematical postulate?A proposition—also referred to as an axiom—that is accepted as true without evidence. Lemmas and theorems arise from postulates, which is their fundamental structure. Five tenets, referred to as Euclid's postulates, form the foundation of Euclidean geometry as a whole.
An unsupported assertion is referred to as a postulate. A postulate is also referred to as an axiom. For instance, you would believe Pam if she claimed that all of her siblings are at least five foot one tall if you knew that she is five feet tall and that all of her siblings are taller than her.
The fundamental tenet of consumer theory holds that consumers choose the bundle from the available options that provides the greatest level of satisfaction. On the set of bundles, assumptions are made that ensure the existence of a comprehensive, reflexive, and transitive preference order.
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A large company boasts in their promotional literature that 75% of their employees have college degrees. A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated. If a hypothesis test were to be performed to test the company’s claim, which of the following would represent the appropriate pair of hypotheses?
The hypotheses that represent the appropriate pair of hypotheses will be H₀: p = 0.75 and Hₐ: p ≠ 0.75. Then the correct option is C.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A large company boasts in their promotional literature that 75% of their employees have college degrees.
A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated.
If a hypothesis test were to be performed to test the company’s claim.
Then the hypotheses represent the appropriate pair of hypotheses will be
H₀: p = 0.75
Hₐ: p ≠ 0.75
Thus, the correct option is C.
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PLEASE HELP IMAGE ATTACHED!
The value of the determinants are
D=13
Dx =26
Dy =52
Dz =26
What is determinant?
The determinant of a matrix is a scalar value calculated for a given square matrix. Linear algebra deals with the determinant, it is calculated using the elements of a square matrix. It can be thought of as a scaling factor for the matrix transformation. Useful for solving a system of linear equations, calculating the inverse of a matrix, and numerical operations.
Given system is
x+ y-z= 4
3x+4y-3z=16
9x- 3y+4z=14
from the system the determinants become,
D= 1 1 -1
3 4 -3
9 -3 4
D= 1(16-9)-1(12+27)-1(-9-36)
=7-39+45
13
Dx=4 1 -1
16 4 -3
14 -3 4
=26
Dy=1 4 -1
3 16 -3
9 14 4
=52
Dz=1 1 4
3 4 16
9 -3 14
=26
Hence, D=13, Dx=26, Dy=52, Dz=26
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Which phrase describes the algebraic expression 3 x minus 4?
Answer:
3x - 4 = -12
Step-by-step explanation:
WHEN THE IMPOSTOR IS SUS !!!
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
8
45°
Find the value of x.
A. 4
B. 8√√2
2
C. 4√2
DG
45°
Save and Exit
Next
Subr
Answer:
Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.
Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:
x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)
So the value of x is option B: 8√2 / 2 or simplified, 4√2.