The value of the angle ∠U using the exterior angle theorem is calculated as; D: 34°
How to find the exterior angles of a triangle?An exterior angle of a triangle is created by extending one side of the triangle. Now, the theorem of exterior angle of a triangle is that If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Now, since we are given that m∠V = 95°, and m∠Z = 129°, then it means we can say that;
∠X, ∠Y = ∠Z
Similarly;
∠U + ∠V = ∠W
By congruency and external angles theorem, we can say that;
∠U + ∠V = ∠Z
Thus;
∠U + 95° = 129°
Thus;
∠U = 129 - 95
∠U = 34°
Read more about Exterior angles of triangle at; https://brainly.com/question/17972372
#SPJ1
When computing the degrees of freedom for ANOVA, how is the between-group estimate calculated?a. (n - 1)/kb. n - 1c. k - 1d. N - k
The correct option for calculating the degrees of freedom for the between-group estimate in ANOVA is: c. k - 1
Here's a step-by-step explanation:
1. ANOVA, or Analysis of Variance, is a statistical method used to compare the means of multiple groups to determine if there are significant differences between them. In this context, "k" represents the number of groups being compared, and "N" represents the total number of observations.
2. Degrees of freedom (df) are used in statistical tests to account for variability in the data. They are essentially the number of values that can vary independently in the calculation of a statistic.
3. In ANOVA, there are two types of degrees of freedom: between-group (df_between) and within-group (df_within).
4. To calculate the between-group degrees of freedom (df_between), we use the formula: df_between = k - 1. This is because there are k groups being compared, and each group contributes one degree of freedom, minus one since we are comparing the groups against each other.
5. The within-group degrees of freedom (df_within) would be calculated using the formula: df_within = N - k, which accounts for the total number of observations minus the number of groups.
In summary, to compute the degrees of freedom for the between-group estimate in ANOVA, you would use the formula df_between = k - 1.
To learn more about degrees of freedom, refer:-
https://brainly.com/question/31424137
#SPJ11
-16x^2+150x=425 solve for x
Answer:
\(x_{1}=\frac{75}{16}-\frac{5\sqrt{47} }{16}i , x_{2}=\frac{75}{16}+\frac{5\sqrt{47} }{16}i\)
Step-by-step explanation:
Find f(4) if f(x) = 3x -1
Answer:
11
Step-by-step explanation:
f(4)=3(4)-1
f(4)=12-1
f(4)=11
What operation is the inverse of the one in the equation 9 = p/8 ?
A.subtraction
B.division
C.multiplication
D.addition
Multiplication operation is the inverse of the one in the given equation which is 9 = p/8.
What is an inverse?
The opposite of another operation is referred to as the "inverse" in mathematics. The operations that cancel out or are the opposite of one another are referred to as inverse operations. The work of a pair is reversed by an inverse operation.
We are given an equation as 9 = p/8.
In this equation, we can see that the operation used is division.
We know that inverse of division is multiplication.
Hence, multiplication operation is the inverse of the one in the given equation.
Learn more about inverse from the given link
https://brainly.com/question/30097430
#SPJ1
If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic ______ follows the t distribution with n-1 degrees of freedom
In summary, when repeated samples of size n are taken from a normal population with an unknown variance, the statistic t follows the t-distribution with n-1 degrees of freedom.
If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic t follows the t distribution with n-1 degrees of freedom. When a sample of size n is taken from a normal population with a known variance and mean, the sample mean follows a normal distribution with a mean of μ and a variance of σ2/n. This distribution is known as the sampling distribution of the mean.
However, when the variance is unknown, the sampling distribution of the mean can no longer be calculated using the normal distribution. In this scenario, the sample mean is calculated using a t-distribution instead of a standard normal distribution.The t-distribution is similar to the standard normal distribution. However, it is more spread out and flatter than the standard normal distribution. As a result, the t-distribution has thicker tails than the standard normal distribution, which makes it more suitable for analyzing small samples of data.
Learn more about Repeated samples
brainly.com/question/15019364
#SPJ11
What is 20 is what percent of 50 I will give 20 points plz answer this I really need help I struggle with percentages
Answer: 40%
Step-by-step explanation:
**Assuming you meant 20 is what percent of 50?**
To find this answer, simply do 20/50 to get 2/5, or 0.4
Then, simply multiply 0.4 by 100%, to get 40%.
Hope it helps :) and let me know if you want me to elaborate.
Answer: 40.
Step-by-step explanation: 20 percent of 50 = 40.
Isla has 225 trading cards and Lily has 180 trading cards. a) Calculate the number of Isla's trading cards as a percentage of the number of Lily's trading cards. b) Calculate the number of Lily's trading cards as a percentage of the number of Isla's trading cards. Give your answers to the nearest 1%.
(a) Isla's trading cards are 125% of Lily's trading cards.
(b) Lily's trading cards are 80% of Isla's trading cards.
Given that,
There are 225 trading cards and Lily has 180 trading cards.
To calculate the percentage of Isla's trading cards compared to Lily's,
We can use this formula:
⇒ Isla's trading cards / Lily's trading cards x 100%
Plugging in the values we get:
⇒ (225 / 180) x 100% = 125%
Therefore,
Isla's trading cards are 125% of Lily's trading cards.
b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:
⇒ Lily's trading cards / Isla's trading cards x 100%
Plugging in the values we get:
(180 / 225) x 100% = 80%
Therefore,
Lily's trading cards are 80% of Isla's trading cards.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ1
Two angles have the same measure. What are their measures if they are also complementary angles? Supplementary angles?
How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
Answer:
The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:
Area of a semicircle = 21πr2, where r is the radius of the circle.
Area of a trapezoid = 21(b1+b2)h, where b1 and b2 are the bases and h is the height of the trapezoid.
Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.
Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.
Step-by-step explanation:
The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.
Option D is the correct answer.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as: 1/2 x sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
The given figure can be decomposed into the following figure.
- Semicircle
- Trapezoid
- Two rectangles
Thus,
A semicircle, a trapezoid, and two rectangles.
Learn more about trapezium here:
https://brainly.com/question/22607187
#SPJ5
Will give brainliest!! answer asap
angle QRO is 126 degrees
Answer:
126
Step-by-step explanation:
as corresponding angels
Solve for d.
-2.08(d - 9) = 0
d
Please help
After the solution of the given equation 2.08(d - 9) = 0, the value of d is 9.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. Equation: A declaration that two expressions with variables or numbers are equal. In essence, equations are questions and attempts to systematically find the answers to these questions have been the driving forces behind the development of mathematics. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.So, 2.08(d - 9) = 0 for d:
2.08(d - 9) = 02.08d - 18.72 = 02.08d = 18.72d = 18.72/2.08d = 9Therefore, after the solution of the given equation, the value of d is 9.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
I have 0 clue how to do this
Answer:
okay, I'll explain how to do it.
y = 4x
so make a table
-1. -4
0. 0
1. 4
plot those points and draw a line through them.
let's plot some points to start.
If the measure of <8 is 112 degrees, the the m<6 = ?
ANSWER AND ILL GIVE BRAINLISTS
Answer:
112 Degrees
Step-by-step explanation:
Vertical Angles Theorem says they're equal.
How many solutions are there for the system of equations shown on the graph?
A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions
Answer:
D
Step-by-step explanation:
There can be infinite solutions
How do I prove if an angle is parallel to another angle
Angles themselves cannot be parallel or not parallel to each other. Parallel lines are the ones that never intersect and always maintain the same distance between each other. However, angles can be congruent or supplementary to each other.
If you are referring to two lines with angles formed by a transversal, you can determine if the angles are congruent by comparing their measurements.
Angles themselves cannot be parallel or not parallel to each other. Parallel lines are the ones that never intersect and always maintain the same distance between each other. However, angles can be congruent or supplementary to each other.
If you are referring to two lines with angles formed by a transversal, you can determine if the angles are congruent by comparing their measurements. Two angles are congruent if they have the same measure. This can be proven using various angle relationships and properties, such as vertical angles, corresponding angles, alternate interior angles, alternate exterior angles, etc. These relationships are based on the properties of parallel lines and transversals.
If you want to determine if two angles are supplementary (their measures add up to 180 degrees), you can add the measures of the angles and check if the sum is equal to 180 degrees.
For such more questions on Proving Angle Congruence
https://brainly.com/question/28262429
#SPJ8
In DABC AB=17cm, AD=15cm, BC=13cm and BD is perpendicular to AC. Calculate the length of BD
The length of BD is approximately 22.67cm.
What is the Pythagorean theorem?
The Pythagorean theorem is a fundamental result in mathematics that states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs). It is named after the ancient Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that it is knowledge that was already known to the ancient Babylonians and Indians.
The theorem can be written mathematically as:
c^2 = a^2 + b^2
This is a classic problem in trigonometry known as the Pythagorean theorem in a right triangle. Since BD is perpendicular to AC, we can use the Pythagorean theorem to find the length of BD, which states that in a right triangle, the square of the length of the hypotenuse (BD in this case) is equal to the sum of the squares of the other two sides (AB and AD).
So, BD^2 = AB^2 + AD^2
We are given that AB = 17cm and AD = 15cm, so we can substitute those values into the equation and solve for BD:
BD^2 = (17cm)^2 + (15cm)^2 = 289 + 225 = 514
To find the length of BD, we take the square root of both sides:
BD = √514cm
BD ≈ 22.67cm
Hence, the length of BD is approximately 22.67cm.
To learn more about Pythagorean theorem, Visit
https://brainly.com/question/343682
#SPJ1
Use the following long division. the term 3x2 in the quotient is the result of dividing 3x4 by?
The term 3x² in the quotient is the result of dividing 3\(x^{4}\) by x²
On dividing 3x^4 by x² we get the following by the long division method
x² | 3x^4 | 3x² --------> quotient
-(3x^4)
______
0
Thus the quotient is 3x² as mentioned in the question and the remainder is 0. Long division is a method to find out the quotient and remainders on dividing number, algebraic expression by another. As shown above, on the right-hand side we get the quotient and at the bottom, the remainder is obtained.
Another problem with long division:
brainly.com/question/12342242
#SPJ4
what is 5 1/3 divided by 1 1/6
Answer:
32/7 or 4 4/7
Step-by-step explanation:
I used mathaway. JOKING!
Convert the fractions into mixed numbers.
So instead of 5 1/3 and 1 1/6
you will have 16/3 and 7/6
Apply the fraction rule
a/b ÷ c/d = a/b × c/d
= 16/1 x 2/7
then:
16 x 2
1 x 7
= 32/7
proper fraction: 4 4/7
Pls help me the answer
Answer:
The slope is 5/3
Step-by-step explanation
The slope formula is \(\frac{rise}{run}\)
If you take 2 points on the line, the rise is 5 and the run is 3.
Amy works 15 hours a week at the movie theater. She earns $8 an hour. What statement is true about her weekly income? A) Her net income is more than $120. B) Her gross income is less than $120. C) Her net income is less than $120. D) Her gross income is more than $120.
Answer: Her net income is less than $120.
Step-by-step explanation:
Based on the information given, the gross income for Amy will be:
= 15 × $8
= $120
Net income is the income that an individual has left after tax and every other necessary deductions have been removed. Therefore when this is done, the net income for Amy will be less than $120
You are crossing a river with width L. The river moves at speed v
R
with respect to the bank and your boat moves at speed v
B
with respect to the river. If you point your boat straight across the river (as seen from the water), how far downstream will you land on the other side? [a] 0 [b]L
v
R
v
B
[c] Ltan
−1
(
v
R
v
B
) [d] L
v
B
v
R
[e] Ltan
−1
(
v
B
v
R
)
The distance downstream that you will land on the other side is [b] L * (\(v_R\) / \(v_B\)).
To find the distance downstream that you will land on the other side, we can break down the problem into components.
Let's consider the time it takes to cross the river. The time is determined by the width of the river (L) and the speed of your boat (\(v_B\)). So, the time taken to cross is t = L / \(v_B\).
During this time, the river current (\(v_R\)) will carry you downstream. The distance covered downstream is given by d = \(v_R\) * t = \(v_R\) * (L / \(v_R\)).
Simplifying this expression, we get d = L * (\(v_R\) / \(v_B\)).
Therefore, the correct answer is [b] L * (\(v_R\) / \(v_B\)).
This means that you will land downstream a distance equal to the width of the river (L) multiplied by the ratio of the river's speed (\(v_R\)) to your boat's speed (\(v_B\)).
To know more about distance:
https://brainly.com/question/29130992
#SPJ4
interquartile range of the wingspans of 74, 71, 75, 80, 67, 84, 77
Answer: 9
Step-by-step explanation:
Population size=7
Lower quartile=71
Upper quartile=80
67 Is or es el 67
Jajaja
Help me plzzzzzzzzzzzzz brooo!!
Answer:
x = -2
Step-by-step explanation:
Katy kept a tally of the number of emails she received each day for a week.
Monday 10
Tuesday 0
Wednesday 10
Thursday 1
Friday 0
according to the table,what was the rate of changing between Wednesday and Thursday?
Answer:
9
Step-by-step explanation:
pat's time in the 1600 meter run placed pat in the 85th percentile in the school. what percentage of students are faster than pat?
In linear equation, 15% is percentage of students are faster than pat .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
= (100 - 85 )%
= 15%
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
HELP ME PLEASE MATEEEEEEE
Answer:
Answer below
Step-by-step explanation:
3 - 19
4 - 25
5 - 31
6 - 37
Divide 75 into the ratio 1:3:5
Answer:
8.3 : 25 : 41.67
Step-by-step explanation:
75 into 1 : 3 : 5
1+3+5 = 9
9 shares in total
-
75 / 9 = 8.33333333
8.33333333 x 3 = 25
8.33333333 x 5 = 41.6666667
1 : 3 : 5
8.3 : 25 : 41.67
or
8 : 25 : 42 (rounded)
does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?
Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.
What is eccentricity?In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.
Here,
In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.
As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.
To know more about eccentricity,
https://brainly.com/question/9242569
#SPJ4
what is the slope of the line (1/2,-4) (1/2,5)
Isaiah is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 20 meters from the building. The angle of elevation from his eyes to the roof ( (point � A ) ) is 32 ∘ ∘ , and the angle of elevation from his eyes to the top of the antenna ( (point � B ) ) is 43 ∘ ∘ . If his eyes are 1.62 meters from the ground, find the height of the antenna ( (the distance from point � A to point � B ) ). Round your answer to the nearest meter if necessary.
The height of the antenna is approximately 29 meters.
What is the angle of elevation?
The point of rise is a point that is framed between the even line and the view. An angle of elevation is formed when the line of sight extends upward from the horizontal line.
We should refer to the level of the structure as "h" and the level of the receiving wire "x". Two equations can be created with the help of the tangent function:
Since the elevation angle to the roof is 32 degrees,
tan(32) = h/20, and
tan(43) = (h+x)/20
because the elevation angle to the antenna's peak is 43 degrees.
We can solve for "h" in the first equation by multiplying both sides by 20:
h = 20 tan(32)
We can substitute this expression for "h" into the second equation:
tan(43) = (20 tan(32) + x)/20
Now we can solve for "x":
x = 20 tan(43) - 20 tan(32)
We can then add the height of Isaiah's eyes (1.62 meters) to get the total height of the antenna:
height = x + 1.62
Plugging in the values and using a calculator, we get:
height ≈ 28.7 meters
As a result, the antenna stands about 28.7 meters tall. The answer is 29 meters when rounded to the nearest meter.
know more about trigonometry visit :
https://brainly.com/question/29002217
#SPJ1