Answers
1) Since the angles are congruent, set them up to equal each other, then solve for x: x + 10 = 50. Now solve
2) Since angles AEC and DEB are congruent, set them up also to equal each other, then solve. : 6x + 20 = 10x. Now solve for x
3) Since AEC and DEB are congruent, they have the exact same angle measurement. Because of this, you are able to set the two equations equal to each other, then solve for x. After you have the value of x, you can plug it into 5x + 12 and solve once again, resulting in the answer for the measurement of angle AEC.
Related Questions
Find the distance between the points -6.2 and -9.8. Show your work.
Answers
Answer:
3.6
Step-by-step explanation:
subtract the numbers
What is Slope = 8. y-intercept = 5 in slope intercept form (example: y=mx+b)
Answers
Answer:
y=8x+5
Step-by-step explanation:
m = slope
b = y-intercept
An artist mixes paint to make new colors.
She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available,
how many batches of orange paint can she make?
Enter your answer in the box.
Answers
Answer:
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of red paint for one batch of orange paint = 1/3 of a cup
Amount of yellow paint for one batch of orange paint= 1/3 of a cup
Amount of red paint available = 2 cups
Amount of yellow paint available = 3 cups
2. How many batches of orange paint can she make?
2 cups of red paint = 6/3 = 6 batches of orange paint
3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
Find the sum or difference.
1. -80+77 =
2. 77 + 160 =
3. -64+ (-33) =
4. 104-(-92) =
5. -105-(-122) =
6. 185-(-154) =
7. -53-(-59) =
8. -6+ (-35) =
9. 15-(-26)-(-39) =
10. -93 +191+ (-179)
Find the product or quotient.
11. 60+ 12 =
12. -194+ (-2)=
13. 88 (-2) =
14. -12 10 =
15. -10 (-11) =
16. 90+ (-6)=
17. 3 (-59) =
18. -7 (-2) =
19. 100 (0) =
20.100/0=
Answers
After answering the presented question, we may conclude that the solution of the expressions are as follows.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
the solution of the expressions are as follows -
-3237-97196173396-4152-8172-196-176-12011084-177140undefined (division by zero is undefined)To know more about expressions visit :-
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PLEASE I NEED HELP!!! ITS DUE TOMORROW!!
Answers
Answer:
The area of rectangle can be found by multiplying the width and length of the rectangle. To find the length of the rectangle compare the x values of two of the coordinates: Since the length is . To find the width of the rectangle we need to look at the y coordinates of two of the points.
Step-by-step explanation:
The domain of f(x)=cosx
must be restricted to all real numbers in order for the function to have an inverse function. The domain of g(x)=arccos(x)
is −1≤x≤1
and its range is 0≤x≤π
.
is this correct ?
Answers
Answer:
Not completely sure for the rest, but I believe the range is incorrect: the range represents y-values, not x-values.
So it should be 0 ≤ y ≤ π
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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To win the jackpot, 4 different numbers are randomly selected from 1 to 45 and one number from 1 to 30. The order of the first 4 numbers does not matter. What is the probability of winning the jackpot on one try? type your answer as a fraction or in scientific notation.
Answers
The probability of winning the jackpot on one try is 1/30 or 0.0333 (rounded to four decimal places).
To calculate the probability of winning the jackpot on one try, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes.
The number of favorable outcomes can be calculated by selecting 4 different numbers from 1 to 45 (without considering the order) and one number from 1 to 30. This can be represented as:
C(45, 4) * C(30, 1)
where C(n, r) represents the number of combinations of n items taken r at a time.
The total number of possible outcomes is the total number of ways to select 4 numbers from 1 to 45 (without considering order) multiplied by the number of ways to select one number from 1 to 30. This can be represented as:
C(45, 4) * 30
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = (C(45, 4) * C(30, 1)) / (C(45, 4) * 30)
Simplifying the expression:
Probability = C(30, 1) / 30
Probability = 1 / 30
Therefore, the probability of winning the jackpot on one try is 1/30 or 0.0333 (rounded to four decimal places).
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What is (x³-8x² + 6x +41) ÷ (x-4)
Answers
Step 1: Write the dividend and divisor:
\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 2: Divide the first term of the dividend by the first term of the divisor:
\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)
Step 3: Multiply the divisor (x - 4) by the result (x^2):
\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)
Step 4: Subtract the result from the original dividend:
\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)
Step 5: Bring down the next term from the dividend:
\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 6: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)
\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)
\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)
Step 7: Bring down the next term from the dividend:
\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)
Step 8: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)
\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)
\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)
Step 9: There are no more terms to bring down, so the division is complete.
Step 10: Write the final result:
The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.
Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:
\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)
i dont know answer please im in summer school
Answers
The centre and the radius of the circle is (-7, -1) and 6 units
Equation of a circleThe equation of the circle in standard from is expressed as:
x^2+y^2+2gx+2fy+C = 0
where;
(-g, -f) is the centre
r= √g²+f²-C
Given the equation below
x^2+y^2+14x+2y+14 = 0
2g = 14
g = 7
2f = 2
f =1
Hence the centre of the circle is (-7, -1)
Radius = √49+1-14
Radius = √36 = 6 units
Hence the centre and the radius of the circle is (-7, -1) and 6 units
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Select two of the following that represent the solution set of the given equation.
x^4-5x^2=3x^2+48
Answers
Answer:
Step-by-step explanation:
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Answers
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
3(p-6)which expression is also equivalent to the given expression?
Answers
The given problem can be solved as,
\(\begin{gathered} 6x=\frac{6}{7} \\ x=\frac{6}{7\times6} \\ x=\frac{1}{7} \end{gathered}\)Hence, the required fraction is (1/7).
Option A is correct.
Write a positive or negative and Integer that represents the situation. You earn 15 raking leaves.
Answers
Answer:
A positive 15
Step-by-step explanation:
The key word earn tells us he's gaining.
show that the set of vectors in is orthogonal and (b)normalize the set to produce an orthonormal set.
Answers
An orthonormal set is a set of orthogonal unit vectors.
Normalization is the process of making unit vectors.
Orthonormal VectorsA set of vectors in which each vector is orthogonal to every other vector in the set is called an orthogonal set of vectors.
Two vectors are orthogonal when their dot product equals zero.
An orthonormal set is one in which each vector has length 1 and is orthogonal.
The process of creating a vector of length 1 in the same direction of the original vector is called "normalization".
An orthonormal set of vectors that is a basis of a vector space is quite useful. We can use the Gram-Schmidt process to transform a basis of a vector space (which may not be orthogonal) into an orthonormal basis.
To normalize vectors to produce an orthonormal set of vectors, we calculate the length of the vector and divide the vector by its length, to obtain a unit vector.
Since the question asked about "how to normalize vectors to produce an orthonormal set" that implies that the vectors already form an orthogonal set.
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The given question is incomplete,
So , I take another question, The question is:
How to normalize vectors to produce an orthonormal set?
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
Answers
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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everything else being equal, explain why you usually would prefer an unbiased estimator to a biased estimator.
Answers
Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).
The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.
Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.
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MARKING BRAINLIST QUESTION BELOW PLSSSSS PLSSSS HELP
Answers
Answer:
1. 75 feet per hour
2. \(\frac{15}{7}\) pounds per year
Step-by-step explanation:
The rate of change can be represented as the slope of the equation.
The slope of any relationship is rise over run.
In number 1, we can see that the climber gained 300 feet in 4 hours. This means that the rate of change will be \(300\div4=75\) feet per hour.
In number 2, we can see that the teacher gained 45 pounds in a timeframe of 21 years. This means that the slope is \(\frac{45}{21}\), which can be simplified down to \(\frac{15}{7}\)l
Hope this helped!
Carlos is a software salesman. Let y represent his total pay (in dollars). Let x represent the number of copies of History is Fun he sells. Suppose that x and y are related by the equation 2500+110x=y. Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change in Carlos's total pay for each copy of History is Fun he sells?
What is Carlos's total pay if he doesn't sell any copies of History is Fun?
Answers
The total pay change for each issue of Math is Fun sold by Carlos is $110. If he doesn't sell copies of Math is Fun, Carlos's gross wages are $2500 for him.
Given that:
x represents the number of copies of Math is Fun he sells. Suppose that x and y are related by the equation 2500 + 110x = y.
Equation: The equation is the values of two expressions that are equal.
Here,
For equation,
y = 2500 + 110x
The change in Carlos's total pay for each copy of Math is Fun he sells,
Differentiate the equation,
dy/dx = 110
The total pay for each copy of Math is Fun he sells is $110.
Carlos's total pay if he doesn't sell any copies of Math is Fun,
x = 0
y = 2500
Carlos's total pay if he doesn't sell any copies of Math is Fun is $2500.
Thus, the change in Carlos's total pay for each copy of Math is Fun he sells is $110. Carlos's total pay if he doesn't sell any copies of Math is Fun is $2500.
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Pls help with this question pictured below.
Answers
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answers
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
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Step-by-step explanation:
3 x
Abigail keeps track of the number of pages she reads. Last year, she read 5,473 pages. The year before,
she read 2,379 pages. Select all of the choices that are good estimates by rounding to place values for the
total pages Abigail read over the two years.
A. 7,000
B. 7,500
C. 7.850
D. 7.900
E. 8,000
Answers
Answer:
A, C, and E I think
Step-by-step explanation:
Possible answers/estimates would be:
C
D
E
hi can anyone help me with this
Answers
Answer:
i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)
5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 and
m/AED=5x+1.
Find the measure of ZDEB. Show how you found your answer.
Answers
Based on the information in the triangle, the measure of ZDEB is 54°.
How to calculate the valueA triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.
The sum of the measures of the angles of a triangle is 180 degrees. Therefore,
mZAEC + m/AED + mZDEB = 180
(2x+4) + (5x+1) + mZDEB = 180
7x+5 = 180
7x = 175
x = 25
mZDEB = 2x+4 = 2(25)+4 = 54 degrees
Hence, the answer is 54
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P=x-2 ÷ x+1 for whar value of x is P equal to zero
Answers
Answer:
x = 2
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
P will equal zero when the numerator is equal to zero , that is
x - 2 = 0 ( add 2 to both sides )
x = 2
P = 0 when x = 2
exponential function passes through (1,10) and (4,80)
Answers
Answer: f(x)=2^x+5
Step-by-step explanation:
math
What is the approximate volume of the cylinder? Use 3.14 for T.
5 in.
16 in.
A. 126 in.
B. 153.86 in.
C. 1,256 in.
D. 7,121.52 in.
Answers
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,
Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³
Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
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The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
Answers
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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Any help would be great
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
1. x = -7
2. y = 7
▹ Step-by-Step Explanation
x - y = -7
x - 0 =7
x = -7
x - y = -7
0 - y = -7
y = 7
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
x-int: (-7,0)
y-int: (0,7)
Step-by-step explanation:
Hope it helps <3
Enter the number that belongs in the green box
Answers
The number that belongs on the green box is given as follows:
g = 11.08.
What is the law of sines?Suppose we have a triangle in which:
Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.The lengths and the sine of the angles are related as follows:
\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)
The sum of the internal angles of a triangle is of 180º, hence the missing angle is given as follows:
120 + 37 + x = 180
157 + x = 180
x = 23º.
Then the relation to obtain the number in the green box is given as follows:
sin(23º)/5 = sin(120º)/g
g = 5 x sine of 120 degrees/sine of 23 degrees
g = 11.08.
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