X-braces are also used to provide support in rectangular fencing. If AB=6 feet, AD=2 feet, and m∠DAE=65° , find m∠EDC . Round to the nearest tenth, if necessary.
Answers
The measure of angle m∠EDC = 25°, round to the nearest tenth.
Explain the term isosceles triangle?Any triangle with (in least) two equivalent sides is said to be isosceles. The remaining side in the illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal.Therefore, an isosceles triangle has two equal sides as well as two equal angles.For the given question
AB=6 feet, AD=2 feet, and m∠DAE=65° ,As the both diagonal of the rectangle are equal.
ΔAED is isosceles triangle.
Then,
m∠ADE = m∠DAE = 50°
As all 4 angles of the triangle are equal.
m∠EDC = 90 - m∠ADE
= 90 - 65
m∠EDC = 25°
Thus, the measure of the angle m∠EDC = 25°, round to the nearest tenth.
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The diagram for the question is attached.
Related Questions
what is WD?
what is AB + DC
what is the perimeter of the trapezoid?
Answers
Perimeter (P) = AB + BC + CD + DA.
What is perimeter of trapezoid?The perimeter of a trapezoid is the sum of the lengths of each side of the trapezoid. A trapezoid is a quadrilateral that has two sides parallel to each other and two non-parallel sides termed as bases and legs respectively. Let us learn how to calculate the perimeter of the trapezoid in this article.
perimeter of the trapezoid=sum of 4 side
=AB+BC+CD+DA
Perimeter (P) = AB + BC + CD + DA.
It can also be written as a sum of lengths of parallel sides and the sum of lengths of non-parallel sides where AB and CD are the parallel sides and AD and BC are the non-parallel sides.
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rosie says she could solve 24*25 with the arry above. do you agree with her why or why not.
Answers
She could only solve 24 * 25 if the array has 24 rows and 25 columns or vice versa
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Product expression = 24 * 25
An array is a set of items that has rows and columns
The array is not given
However, the true statement is that: for Rosie to evaluate the expression using an array, then the array must be a 24 x 25 array or 25 x 24 array
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sing horizontal analysis, the increases and decreases are shown as a.amounts and percentages for each line item. b.amounts for the highest three lines. c.amounts only for each line item. d.percentages only for each line item.
Answers
Answer: D. percentages only for each line item.
Horizontal analysis, also known as trend analysis, is a method of financial statement analysis that compares line items over time by expressing them as a percentage of a base year. The base year is typically the most recent year, and the comparison is typically made to the prior year. In horizontal analysis, the increases and decreases are shown as percentages for each line item, so that the changes in the line items can be easily compared and analyzed. This is different from vertical analysis, which shows the line items as a percentage of a total, such as total assets or total revenue.
Step-by-step explanation:
Find the probability of rolling
a 7 when you toss two fair 6-
sided dice and add the result
from each die.
Answers
Answer:
B. [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
imma human calculator and no one can stop me
How can I set up an equation to help solve this problem?
Answers
Check the picture below.
A towns population is expected to grow between 5% and 8% per year for the next 10yr. if the current population is 50,000, write an inequality for the expected population, p, next year.
Answers
Answer: An inequality for the expected population, p, next year can be written using the information provided. Since the population is expected to grow between 5% and 8% per year, we can represent that as a range of growth rates: 0.05 <= growth rate <= 0.08
To find the expected population next year, we can use the formula:
p = population * (1 + growth rate)
where "population" is the current population of 50,000 and "growth rate" is the percentage increase. Since the growth rate is expected to be between 0.05 and 0.08, we can write the inequality as:
50,000 * (1 + 0.05) <= p <= 50,000 * (1 + 0.08)
This inequality represents the expected range of population next year, with the lower bound being the population if it grows by 5% and the upper bound being the population if it grows by 8%.
Simplifying the inequality:
52,500 <= p <= 54,000
So the expected population next year, p, is between 52,500 and 54,000.
Step-by-step explanation:
help pls and thanks
Answers
An equation of a circle which represents the picture include the following: A. (x)² + (y)² = 25.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.From the information provided above, we have the following points on this circle:
P(–5, 0)Q(0, 5)R(5, 0)S(0, –5).Radius of the circle (r) = 5 units.Center of the circle (h, k) = (0, 0)Substituting the given points into the equation of a circle, we have the following;
(x - 0)² + (y - 0)² = 5²
(x)² + (y)² = 25.
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To describe a sequence of transformation that maps triangle ABC onto triangle a”b”c” a student starts with a reflection over x-axis
Answers
We can write the coordinates after reflection as -
A (x₁, y₁) → A" (x₁, - y₁)
B (x₂, y₂) → B" (x₂, - y₂)
C (x₃, y₃) → C" (x₃, - y₃)
What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each other.Given is that to describe a sequence of transformation that maps triangle ΔABC onto triangle ΔA”B”C” a student starts with a reflection over x - axis.
Assume the coordinates of a triangle are -
A (x₁, y₁)
B (x₂, y₂)
C (x₃, y₃)
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.The reflection of point (x, y) across the x-axis is (x, -y).
So after the reflection over the {x} axis, we can write the coordinates as -
A" (x₁, - y₁)
B" (x₂, - y₂)
C" (x₃, - y₃)
Therefore, we can write the coordinates after reflection as -
A (x₁, y₁) → A" (x₁, - y₁)
B (x₂, y₂) → B" (x₂, - y₂)
C (x₃, y₃) → C" (x₃, - y₃)
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7. If WXWZ, what theorem
can be used to show that
APXW = APZW?
8. If XZ LWY and XY = ZY, what
theorem can be used to show that
AXYP = AZYP?
9. If XW || YZ and ZXWZZZYX,
what theorem can be used to show
that AXWZ = AZYX?
Answers
8) HL (hypotenuse, leg)
9) AAS (angle,angle, side)
write the expanded form of the expression
4(3x-5)
4 (3x-5)=
Answers
One technique to write numbers such that you can see the mathematical significance of each individual digit is in expanded form or expanded notation. So the expanded form of (3x-5)³ is 27x³-135x²+225x-125.
How do you write in a more detailed format?One technique to write numbers such that you can see the mathematical significance of each individual digit is in expanded form or expanded notation.
It is also possible to create a mathematical expression using integers that have been divided into distinct place values and decimal places.
5,000 + 300 + 20 + 5 = 5,325 is the expanded notation for the number.
Expanded form of the given expression.
1) We can expand the given term by the direct formula of the algebra
(A-B)³ = A³-B³-3AB(A-B)2)
We have (3x-5)³on comparing with the formula:
A = 3x
B = 5
(3x-5)³
(3x)³-5³-3×3x×5(3x-5)
27x³-125-45x(3x-5) 27x³-125-135x²+225x
So the expanded form of (3x-5)³ is 27x³-135x²+225x-125.
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on Wednesday evening sonto spent one ½ doing doing homework 45 minutes doing housework 1 hour visiting friends and 1 hour ½ watching television . write information in a ratio
Answers
If on Wednesday evening sonto spent one ½ doing doing homework 45 minutes doing housework 1 hour visiting friends and 1 hour ½ watching television .This information in a ratio is: 2: 3 : 4 :6.
How to find the ratio?We need to first analyze the details before determining the ratio.
1 hour = 60 minutes
1/2 h = 30 minutes
1 1/2 = 90 minutes
So,
30 : 45 = 60 :90
Reduce the above minutes to ratio
2: 3 : 4 :6
Therefore the ratio of the information is 2: 3 : 4 :6.
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A. Sketch a cube and label its side length as 4cm (this will be Cube A).
B. Sketch a cube with sides that are twice as long as Cube A and label its side length (this will be Cube B).
C. Find the volumes of Cube A and Cube B.
Answers
Answer:
see attached
Step-by-step explanation:
For the right triangles below, find the values of the side lengths c and h.
Answers
Answer:
the answer is
c = 4
and h = √2/10
The area of the cross section of the prism is 30 cm2.
The length of the prism is 25 cm.
Work out the volume of the prism?
Answers
The required volume of the prism when area of cross section of the prism and the length of the prism are given is calculated to be 750 cm³.
Area of cross section of the prism = 30 cm²
Length of the prism = 25 cm
Volume of the prism = ?
A prism is a polyhedron consisting of an n-sided polygon base. The relation between volume, base area and height of the prism is mathematically given as,
V = B H
where, B is Base area
H is Height of prism
V = 30 × 25 = 750 cm³
Thus, the required volume of the prism when area of cross section of the prism and the length of the prism are given is calculated to be 750 cm³.
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A company want to decreae their energy ue by 11%. If their electric bill i currently $1,700 a month, what will their bill be if they are ucceful? Give your anwer accurate to at leat the nearet dollar.
$
If the company' electric bill for next month i $1547, hould that be conidered a ucce?
Ye, that i a ucce
No, that i not a ucce
Answers
No, that i not a ucce, the electric bill need to be amount $1530 or le to be conidered a ucce.
To calculate the electric bill after the 11% decrease, simply multiply the current electric bill by 0.89, which is 1-11%. This will give you the new electric bill.
$1700 x 0.89 = $1530
Therefore, if the company's electric bill for next month is amount $1530 or less, then that would be considered a success.
The company must reduce their electric bill to $1530 or less in order to be considered successful in decreasing their energy usage by 11%.
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In bags of Happy Trail Mix, the number of raisins is skewed left with a mean of 33. 6 and a standard deviation of 8. 4, while in bags of a generic trail mix, the number of raisins is skewed right with a mean of 28. 8 and a standard deviation of 12. 7. What is the probability in a sample of 17 randomly selected Happy Trail Mix bags and a sample of 17 randomly selected generic bags that the mean number of raisins in the Happy Trail Mix is more than the mean number of raisins in the generic mix?
Answers
The probability that the mean number of raisins in the Happy Trail Mix is more than the mean number of raisins in the generic mix is 9.7%.
To solve this problem, we need to use the central limit theorem, which states that the distribution of the sample means approaches a normal distribution as the sample size increases. With a sample size of 17, we can approximate the distribution of the sample means as normal.
Let's call the mean of the Happy Trail Mix sample x and the mean of the generic mix sample y.
Using the formula for the mean of a normal distribution, we can find the mean of x and y:
μx = μ = 33.6
μy = μ = 28.8
Using the formula for the standard deviation of the sample mean, we can find the standard deviation of x and y:
σx = σ/√n = 8.4/√17 = 2.04
σy = σ/√n = 12.7/√17 = 3.08
Now that we have the mean and standard deviation of x and y, we can use a normal distribution calculator or a z-score table to find the probability that x > y.
The z-score is given by:
z = (x - y - μ)/σ = (33.6 - 28.8)/(√(2.04^2 + 3.08^2)) = 1.30
Using a standard normal table, we find that the probability of a z-score being greater than 1.30 is 0.097, or 9.7%.
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Three equidistant dots on each of two parallel lines are joined in all possible ways, how many triangles can be formed ?
Answers
Answer:
only one triangle can be formed ...
If I Got 7 "(tokens or whatever you prefer) a minute for 9 hours/ 540 minutes, how many tokens would I have
Answers
Answer:
If you get 7 tokens a minute and you work for 9 hours, or 540 minutes, then you would have:
7 tokens/minute * 540 minutes = 3780 tokens
You would have 3780 tokens in total.
Answer:
3,780
Step-by-step explanation:
7* 540= 3780
because you get 7 every minute and there are 540 minutes
Please anwser this...
Answers
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an automobile manufacturer claims that their car has a 55.7 miles/gallon (mpg) rating. an independent testing firm has been contracted to test the mpg for this car. after testing 91 cars they found a mean mpg of 55.2 with a variance of 3.24 mpg. is there sufficient evidence at the 0.05 level that the cars underperform the manufacturer's mpg rating? state the null and alternative hypotheses for the above scenario.
Answers
For the given case the Null hypothesis is The mean mpg of the 91 cars tested is equal to the manufacturer's mpg rating of 55.7 and the Alternative hypothesis is The mean mpg of the 91 cars tested is less than the manufacturer's mpg rating of 55.7.
In order to determine whether the cars underperform the manufacturer's mpg rating, the independent testing firm would need to perform a hypothesis test. To do this, they would need to compare their sample mean of 55.2 mpg with the manufacturer's mpg rating of 55.7. They would also need to know the standard deviation of the sample, which is 3.24.
The independent testing firm would then calculate the z-score by subtracting the manufacturer's rating from the sample mean, and dividing it by the standard deviation. If the z-score is greater than the critical value for a 0.05 level of significance, then there is sufficient evidence to reject the null hypothesis.
In this case, the z-score is -1.51. Since the critical value for a 0.05 level of significance is 1.96, the z-score is less than the critical value. Therefore, there is not sufficient evidence to reject the null hypothesis, and we cannot conclude that the cars underperform the manufacturer's mpg rating.
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Sal received an 8% raise. He now earns $66960. How much did he earn previously? Hint: number only, no symbols, no units
Answers
Answer:
Sal previously earned $61640.
Answer:
$62,000.00
Step-by-step explanation:
x + .08x = 66960 Combine like terms
1.08 x = 66960 Divide both sides by 1.08
[tex]\frac{1.08x}{1.08}[/tex] = [tex]\frac{66960}{1.08}[/tex]
x = 62000
Determine whether the pairs of triangles are congruent.
~Circle yes, no, or not enough information. Explain your choice.
Answers
Both triangles have the same angles. Congruent triangles are congruent when triangles have the same exact sides and angles.
Does 4x - 8 = 3x +13 have one solution, no solution or infinite solutions
Answers
Answer:
only one solution
Step-by-step explanation:
4x - 8 = 3x + 13
x = 21
Hey there!
Given:
[tex]4x-8=3x+13[/tex]
Solution(s):
One Solution; [tex]x=21[/tex]
Hope this helps!
How many solutions does the equation 6x + 12 = 2(3x + 6)
Answers
Answer: Infinite, or unsolvable
Step-by-step explanation:
6x + 12 = 2(3x+6)
6x + 12 = 6x + 12 <-- opening up the bracket
Because both sides of the equation are the same, the answer is either that there are an infinite amount of solutions for x, or that the equation is unsolvable.
i do a lot of exrcice but in the exame i can"t anwer any quetion i don t know what i the recent
Answers
Exercise can be beneficial for academic performance in a variety of ways.
Improved cardiovascular health, for example, can lead to improved blood flow to the brain, providing a better environment for learning and memory formation. Exercise can also improve mental health, reduce stress, and increase energy levels, helping to better prepare for tests and exams. Finally, exercise can help to improve concentration, focus, and overall cognitive function.
The formula for calculating the potential benefits of exercise on academic performance is:
Academic Performance = Exercise + Improved Cardiovascular Health + Mental Health + Stress Reduction + Energy + Concentration + Focus + Cognitive Function
By increasing the amount of exercise, the individual can increase their academic performance. This is done by improving cardiovascular health, mental health, stress levels, energy, concentration, focus, and cognitive function. All of these factors play a role in academic performance, and increasing any one of them can lead to an overall improvement in academic performance.
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PLS HELP
What is in decimal form?
16
O 0.3125
O 0.6875
O 1.45
OI don't know.
Answers
Answer:
decimal form is limited of 3 numbers after the point only.
so it will be 1.45
I hope I help you in this ans and tq.
A car travels down the road at a constant speed of 120 meters in 5 seconds. What is the velocity of the car
Answers
Answer: 17 m/s
Step-by-step explanation:
If a steel nail is wrapped 8 times with an insulated copper wire and each end of is attached to a 1.5 V single-A battery we find that it will lift the weight of 2 paper clips. Hypothesis: If 8 more coils are added to the nail we will be able to pick up twice as many paper clips. When we ran the experiment, we observed and recorded that when we added 8 more wraps around the nail (16 coils) we could lift 4 paper clips and when we added 8 more wraps (24 coils) we could lift 6 paper clips. Which of the following is/are true?
I. Something went wrong with the experiment since it didn't give us the results we expected.
II. The hypothesis was supported with the results of the experiment.
III. It can be concluded that every time 8 wraps are added to the nail, the total number of paper clips lifted doubles.
II and III only
II only
I only
I and III only
Answers
All of the statements that are true include the following:
II. The hypothesis was supported with the results of the experiment.
III. It can be concluded that every time 8 wraps are added to the nail, the total number of paper clips lifted doubles.
Therefore, the correct answer option is: A. II and III only.
What is a hypothesis?In Science, a hypothesis is primarily considered to be a tentative or an educated guess and it can be defined as a testable explanation for an observation, result, or a specific experimentation (scientific) problem, especially through the use of the "if . . . then . . . because" format.
Based on the information provided about this experiment, we can reasonably infer and logically deduce that the hypothesis developed about the steel nail is true because when eight (8) wraps of an insulated copper wire are added to the steel nail, the total number of paper clips that would be lifted is twice as many paper clips.
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evaluate the function f (x) = -3x + 4 when x = -6
Answers
Answer:
x=−3⋅−6+4=x=22
Step-by-step explanation:
Question 4(Multiple Choice Worth 2 points)
(Slope MC)
A linear relationship is given in the table.
x −2 −1 0 1 2
y −13 −9 −5 −1 3
What is the slope of the relationship?
one fourth
negative one fourth
4
−4
Answers
The slope of the relationship is equal to; C. 4.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be calculated by using this mathematical expression;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
From the information provided above, we have the following data points on the line:
Points on x-axis = (-2, -1).Points on y-axis = (-13, -9).Substituting the given points into the slope formula, we have;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-9 + 13)/(-1 - (-2))
Slope (m) = 4/1
Slope (m) = 4
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