Answer:
im pretty sure the answer is ∠e and ∠i; ∠f and ∠g
but if not im so sorry :(
Answer:
The third answer
Step-by-step explanation:
Each angle on both triangles has a set of lines, either one, two, or three. These lines are used to show congruency over a number of lines or angles. So one angle will correlate with whatever other angles have that same number of lines. For example, e and g both have two lines, this means they are corresponding and congruent.
PLS HELP ASAP THIS IS DUE ON MONDAY!!!!!
Identify the vertical angle to angle ADX
Reason:
Vertical angles form after intersecting two lines in an X shape. The vertical angles are opposite one another. They do not have to be vertically aligned.
The other pair of vertical angles are ADB and XDF.
Vertical angles are always congruent.
Find the equation for the plane through P0(8,1,−4) perpendicular to the following line.
x=8−t, y=1−2t, z=3t, −[infinity]
Using a coefficient of −1 for x, the equation of the plane is.
The equation for the plane through P0(8,1,−4) perpendicular to the following line is x + 4y + 5z - 8 = 0
How to determine the equation?The slope of the perpendicular line should be a/b, and if one line is perpendicular to this line, the product of slopes should be -1. The equation of a line perpendicular to a given line ax + by + c = 0 is bx - ay + = 0, where is a constant.
The given parameters are
x=8−t, y=1−2t, z=3t,
P0(- 9, 6, - 5).
Direction vector of line is < -1, 4, 5>,
This vector is normal vector for unknown plane.
So, equation of plane: -1(x - (-9)) + 4(y - 6) + 5(z - (-5)) = 0; - x - 9 + 4y - 24 + 5z + 25 = 0;
In conclusion the equation is given as -x + 4y + 5z - 8 = 0
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how do I solve for x in this equation: 8(x-3)+7=2x(4-7)
Answer:
x = 17/14 = 1 3/14
Step-by-step explanation:
You want the value of x in 8(x-3)+7=2x(4-7).
SolutionIt often works well to simplify the equation first.
8x -24 +7 = 2x(-3) . . . . . use the distributive property
14x -17 = 0 . . . . . . . . add 6x
x -17/14 = 0 . . . . . . divide by 14
x = 17/14 = 1 3/14
The first three terms of an arithmetic sequence are as follows.17, 25, 33Find the next two terms of this sequence.17, 25, 33,
The sequence is given by the following formula:
\(y_{i+1}=y_{i-1}+8\)\(\begin{gathered} y_0=17 \\ y_1=17+8=25 \\ y_2=25+8=33 \\ y_3=33+8=41 \\ y_4=41+8=49 \end{gathered}\)Finally, the answers are 41 and 49.
Find the line’s slope and a point on the line
Y-4=-3/4(x+5)
Answer:
The slope is -3/4 and a point on the line is (-5,4)
Step-by-step explanation:
This equation is in point slope form
y -y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
Y-4=-3/4(x+5)
Y-4=-3/4(x - -5)
The slope is -3/4 and a point on the line is (-5,4)
PLEASE HELP!! YOU GET BRAINLIEST IF CORRECT!!!!
Answer:yes
Step-by-step explanation:
Classify the following triangle. Check all that apply. 26 B105 D A. Isosceles B. Acute C. Right O D. Obtuse O E. Equilateral O F. Scalene
Answer:
C.) Right Triangle.
Step-by-step explanation:
If there is a 90° angle, that means it is a right triangle.
Answer:
C. Right, D. Obtuse and F. Scalene
Step-by-step explanation:
A Right triangle will have a 90* angle,
An Obtuse triangle will have a right angle and 2 acute angles.
A Scalene triangle will have 3 different angles.
As for what it is not,
Isosceles triangle will have two equal sides.
Acute triangle will have all three angles less than 90 degrees.
and
An Equilateral Triangle will have 3 sides that are all the same length.
Hope this helps! :)
(a) find symmetric equations for the line that passes through the point (4, −4, 9) and is parallel to the vector −1, 2, −3 .
The symmetric equations for the line passing through the point (4, -4, 9) and parallel to the vector (-1, 2, -3) are:
x = 4 - t
y = -4 + 2t
z = 9 - 3t
To find the symmetric equations for a line, we need a point on the line and a direction vector parallel to the line.
Given that the line is parallel to the vector (-1, 2, -3), we can write the direction vector as (-1, 2, -3)t, where t is a parameter.
Next, we use the point (4, -4, 9) on the line to set up the symmetric equations. For each coordinate, we have:
x-coordinate:
x - 4 = (-1)t
x = 4 - t
y-coordinate:
y + 4 = (2)t
y = -4 + 2t
z-coordinate:
z - 9 = (-3)t
z = 9 - 3t
Therefore, the symmetric equations for the line passing through the point (4, -4, 9) and parallel to the vector (-1, 2, -3) are x = 4 - t, y = -4 + 2t, and z = 9 - 3t.
In more detail, the equations x = 4 - t, y = -4 + 2t, and z = 9 - 3t represent the coordinates of any point (x, y, z) on the line. The parameter t allows us to obtain different points on the line as we vary its value. The direction vector (-1, 2, -3)t indicates the direction in which the line extends from the given point (4, -4, 9).
For example, if we set t = 0, we obtain the point (4, -4, 9), which lies on the line. As we increase or decrease the value of t, we move along the line parallel to the direction vector (-1, 2, -3), allowing us to find other points on the line.
Hence, the symmetric equations provide a concise way to express the relationship between the coordinates of points on the line and the parameter t.
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For i =√√1, what is the value of
(2+3i)(5-7i)?
result is 31+i in where 31 is real part and i is complex part as given i= √-1 and i²= -1
What is called complex number?In mathematics complex number is an element which has two parts one is called real part and the remaining is termed as imaginary part. An example is 41+6i
here, 41 is real part, 6i is imaginary part
What is the system we use for complex number?A real number cannot be added or subtracted with an imaginary number, but a real number can be multiplied or divided with an imaginary number.
We are given, (2+3i) (5-7i)
at first, we expand it by removing parenthesis
2x5-2x7i+3ix5-3ix7i
10-14i+15i-21i²
now like term is added
10+i+21 as we are given i²= -1
31+i
hence, we get 31+i
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Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
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Solve for x. The triangles are similar.
13 is the answer for it
20
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial.
Then classify the polynomial by the number of terms.
4w11 - w12
standard form
degree
leading coefficient
Answer:
Standard Form:-w^12+4w^11
Degree: 12 degree
Leading Coefficient: -1
Step-by-step explanation:
Standard Form: Order the exponents from greatest to least.
Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is and understood 1 before the w in the first term.
The required answers are given below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Standard Form: Order the exponents from greatest to least. The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is an understood 1 before the w in the first term.
The answers are given as below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
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a car is travellling at 60 km/hr on a road such that the coefficient of friction between its tire and road is 0.8. find the minimum turning radius of the car
A car is travelling at 60 km/hr on a road such that the coefficient of friction between its tire and road is 0.8. We need to find the minimum turning radius of the car.
In order to find out the minimum turning radius of the car, we can use the formula mentioned below: \[\text{Turning radius }= \frac{{V^2}}{{g\mu }}\]
Where, V = Velocity of car, μ = coefficient of friction, g = acceleration due to gravity
Putting the given values in the above formula, we get:\[\text{Turning radius }= \frac{{{{\left( {\frac{{60 \times 1000}}{{60 \times 60}}} \right)}^2}}}{{9.8 \times 0.8}} = 625 m\]
Therefore, the minimum turning radius of the car is 625 meters, approximately.
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How should this model be completed to represent 820 ÷ 17? Enter your answers by filling in the boxes. I'm in 5the BTW
Answer:
How should this model be completed to represent 820 ÷ 17? Enter your answers by filling in the boxes. I'm in 5the BTW
Find the slope of the line.
Answer:
In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line
Solve the inequality n minus three eighths is greater than negative two fifths for n.
The solution to the given inequality is `n > 9/160`.
To solve the inequality `n - (3/8) > -2/5` for `n`, we will use the basic algebraic properties of inequality. We will isolate the variable `n` on one side of the inequality sign by adding or subtracting appropriate terms from both sides of the inequality.
This process is similar to the method we use to solve equations. Here's how we proceed:Adding (3/8) to both sides of the inequality, we get`n - (3/8) + (3/8) > -2/5 + 3/8`
Simplifying both sides, we get`n > [(3/8) * (-2)] / 5 + 3/8` 9/160`This gives us`n > -3/20 + 3/8`Combining like terms,
we get`n > (24 - 15) / 160`Or`n > This means that any value of `n` greater than `9/160` will satisfy the inequality. We can check this by substituting a value greater than `9/160` in the inequality and verifying that the inequality holds.
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How many rebounds should your team expect to have in 15 missed shots?
It is unlikely that the projected rebounds in 15 shots will actually happen.
Explain about the term probability?A probability is a scaled version of the likelihood or chance that a specific event will take place. Both percentages with values ranging from zero to one and percentages extending from 0% to 100% can be used to describe probabilities.Total shots fired equals 10.
To find that there were 15 shots total.
Consider S to be the likelihood that your team will rebound and miss a shot.
P(S) = Number of rebounds / Total Number of outcomes
P(S) = 7/15
P(S) = 0.46
Consequently, it is unlikely that the projected rebounds in 15 shots will actually happen.
Thus, it is unlikely that the projected rebounds in 15 shots will actually happen.
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The complete question is-
During a basketball game, you record the number of rebounds from missed shots for each team. How many rebounds should your team expect to have in 15 missed shots?
Picture for question is attached.
a club consisting of men and women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. the committee could have as few as member or as many as members. let be the number of such committees that can be formed. find the sum of the prime numbers that divide .
The sum of the prime numbers that divide N the number of such committees that can be formed is 81
In this question we have been given a club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee.
The committee could have as few as 1 member or as many as 23 members.
Let N be the number of such committees that can be formed.
We need to find the sum of the prime numbers that divide N.
Let m be the number of women selected.
So, the number of men not selected would be:
11 - (m - 1) = 12 - m
Each combination of women selected and men not selected corresponds to a committee selection.
Since choosing 12 individuals from the total of 23 would give m women and 12 - m men, the number of committee selections :
using combination formula,
N = 23C12
N = 23!/12!(23 - 12)!
N = 1352078
The prime factors of 1352078 are: 2, 7, 13, 17, 19, 23
So, the sum of the prime numbers would be,
2 + 7 + 13 + 17 + 19 + 23 = 81
Therefore, the sum of the prime numbers = 81
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The complete question is:
A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.
For the following function, evaluate f(2): f(x) = |x - 8| + 2
Answer:
the answers ... -4
Step-by-step explanation:
2- 8 = -6 + 2 = -4
Answer:
= 8
Step-by-step explanation:
F(2 )= | 2 - 8 | + 2
F(2) = | -6 | + 2
F(2) = 6 + 2
F (2) = 8
Can someone help me please? I really want to understand my math
M = slope (ride over run) ( pick any two coordinates on the slope line)
B = y-intercept (where the y-axis crosses over the x-axis
So now plug it in.
M = 1 bc 3/3=1
B = 6
Y = 1x+6
Is y proportional to x and y? Why or why not
Answer:
X is directly proportional to y means the value of x is dependent on the value of y. y may not be dependent on x in this case.
Y is directly proportional to x means the value of y is dependent on the value of x. Same as above, in this case, the value of x may not depend on y.
HELPP PLSS!!! WILL GIVE BRAINLIEST AND 5 STARSS!!
Write an expression to represent the perimeter and the area of each figure.
3x1. (width)
2x + 4. (length)
determine the correct check digit for the upc 6-73419-23216-? (lego architecture set)
The correct check digit for the UPC code 6-73419-23216- is "3".
The check digit is used to verify the accuracy of the UPC code when it's scanned. It's the last digit of a UPC code and is calculated using a formula based on the first 11 digits.
The formula involves adding up the digits in the odd-numbered positions and multiplying the sum by three, then adding up the digits in the even-numbered positions, and subtracting the second sum from the first sum.
The check digit is then calculated by taking the difference and finding the smallest number that, when added to the difference, is a multiple of 10. The result of this calculation is the check digit.
In this case, the correct check digit is "3".
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Discuss load vs deformation of wet-mix and dry-mix shotcrete with different reinforcement and discuss in a bullet point when each could be used.
Load vs deformation behavior of wet-mix and dry-mix shotcrete with different reinforcement can be summarized as follows:
Load vs Deformation Behavior of Wet-mix Shotcrete:
- Wet-mix shotcrete exhibits a gradual increase in load with deformation.
- The initial stiffness is relatively low, allowing for greater deformation before reaching its peak load.
- Wet-mix shotcrete tends to exhibit more ductile behavior, with a gradual post-peak load decline.
- The reinforcement in wet-mix shotcrete helps in controlling crack propagation and enhancing overall structural integrity.
Load vs Deformation Behavior of Dry-mix Shotcrete:
- Dry-mix shotcrete exhibits a relatively higher initial stiffness, resulting in less deformation before reaching the peak load.
- It typically shows a brittle behavior with a rapid drop in load after reaching the peak.
- The reinforcement in dry-mix shotcrete primarily helps in preventing the formation and propagation of cracks.
When to Use Wet-mix Shotcrete:
- Wet-mix shotcrete is commonly used in underground construction, such as tunnel linings and underground mines.
- It is suitable for applications where greater flexibility and ductility are required, such as seismic zones or areas with ground movement.
When to Use Dry-mix Shotcrete:
- Dry-mix shotcrete is often used in above-ground applications, such as architectural finishes, structural repairs, and protective coatings.
- It is preferred in situations where rapid strength development is required, as it typically achieves higher early strength than wet-mix shotcrete.
- Dry-mix shotcrete can be used in areas where a more rigid and less deformable material is desired, such as in structural elements subjected to high loads.
Therefore, wet-mix and dry-mix shotcrete exhibit different load vs deformation behavior due to their distinct mixing and application methods. Wet-mix shotcrete offers greater ductility and deformation capacity, making it suitable for applications with dynamic loading or ground movement.
On the other hand, dry-mix shotcrete provides higher early strength and is preferred for applications requiring rapid strength development or where rigidity is essential. The choice between wet-mix and dry-mix shotcrete depends on the specific project requirements, structural considerations, and the anticipated loading conditions.
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please help i need help realy fast
Answer:
is that math?
Step-by-step explanation:
Look at the photos below
(These were photos from my math class two years ago)
Daniel is going to invest $860 and leave it in an account for 14 years. Assuming the
interest is compounded quarterly, what interest rate, to the nearest hundredth of a
percent, would be required in order for Daniel to end up with $1,060?
Answer: r ≈ 1.50%
Step-by-step explanation:
Assume you call a customer who has a balance of $3585.26. They are required to pay 20% down and 6 equal payments of remainder amount. What should the 20% down and remainder payment amounts be?
To compute for the 20% down,
\(\text{ }\frac{\text{Balance x \% of Down to pay}}{100\text{\%}}\)\(\frac{\text{ (\$3,585.25)}(20\text{ \%)}}{100\text{ \%}}\text{ = (\$3,585.26)}(0.20)\text{ = \$ 717.05}2\text{ }\cong\text{ \$ 717.05}\)To solve for the remaining payment,
\(\text{Balance - 20\% Down = Remaining Payment}\)\(\text{ \$3,585.26 - \$717.05 = Remaining Payment}\)\(\text{ Remaining Payment = \$ 2,868.21}\)When divided into 6 equal payments,
\(\frac{\text{Remainder }Payment\text{ }}{6}\text{ =}\frac{\text{ \$ 2,868.21}}{6}\text{ = \$478.035}\)f ( x ) = x/3 -2 f (42 )
Answer:
f(42) = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = x/3 - 2
f(42) is x = 42
Step 2: Evaluate
Substitute in x: f(42) = 42/3 - 2Divide: f(42) = 14 - 2Subtract: f(42) = 12the greek letter used to represent the probability of a type i error is alpha (α). T/F?
True, the Greek letter used to represent the probability of a Type I error is alpha (α).
In hypothesis testing, a Type I error occurs when the null hypothesis is rejected even though it is true. The alpha level, also known as the significance level, is a pre-determined threshold that indicates the probability of making such an error. By setting an appropriate alpha level, researchers can control the risk of incorrectly rejecting the null hypothesis.
Typical alpha levels used in research are 0.05 or 0.01, indicating a 5% or 1% chance of making a Type I error, respectively. It is crucial to consider the consequences of Type I errors when choosing an alpha level, as it affects the overall reliability and validity of the study.
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