If ABCD is a rectangle, and m_ADB = 55°, what is the value of x?2С55ABA. 80Ο ΟB. 90C. 40Ο Ο ΟD. 70E. 110F. Cannot be determined
Answers
ANSWER
D. 70 degrees
EXPLANATION
We have that
From the rectangle, we see that
So:
We have to name an angle in the diagram:
So, we see that AED is a triangle formed by the diagonals.
In AED, we have This means that:
=> 55 + 55 +
It is noteworthy that
Vertically opposite angles are equal.
This means that:
Option D is the answer.
Related Questions
You are working with quadratic equations and construct the following graph
Answers
Answer:
• The vertex is (-3, -4).
,• The y-intercept is (0,5).
,• The x-intercepts are (-5,0) and (-1,0)
,• The equation for the axis of symmetry is x=-3
Explanation:
Given the graph of the quadratic function below:
(a)Vertex
The vertex is the lowest/highest point on the parabola.
The vertex is (-3, -4).
(b)y-intercept
The line crosses the y-axis at y=5. At this point, the value of x is 0.
The y-intercept is (0,5).
(c)x-intercepts
The x-intercepts are the points where the line crosses the x-axis.
The x-intercepts are (-5,0) and (-1,0).
(d)The equation for the axis of symmetry
The equation for the axis of symmetry is the value of x at the vertex of the parabola.
Thus, the equation for the axis of symmetry is:
\(x=-3\)
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answers
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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the perimeter of a rectangle is 50 metre and breadth is 9 metre find its length
Answers
Answer:
the answer is 18 thanks to ask help
100 POINTS HELPPPP What entry on a cash flow statement would indicate that a business had a cash inflow from the sale of equipment?
A. Negative CapEx
C. Negative repayment of debt
B. Inflow from sale of PPE
D. Positive issuance of equity
Answers
Answer:
The cash flow statement paints a picture as to how a company’s operations are running, where its money comes from, and how money is being spent. So i think D is the answer
The Fahrenheit temperature readings on 66 Spring mornings in New York City are
summarized in the table below. Construct and label a frequency histogram of the data
with an appropriate scale.
Temp (°F) Number of Days.
30-39
2
40-49
26
50-59
28
60-69
8
70-79
2
Graph answer Click and drag to make a rectangle. Click a rectangle to delete it.
Answers
To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.
The temperature ranges and their corresponding frequencies are as follows:
30-39: 2 days
40-49: 26 days
50-59: 28 days
60-69: 8 days
70-79: 2 days
To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.
Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.
Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.
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Let f(x) = 5(3)x
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
Choose the equation of g(x).
Responses
g(x) = 10(3)xg(x) = 10(3)x
g(x) = 7(3)xg(x) = 7(3)x
g(x) = 2(3)xg(x) = 2(3)x
g(x) = 5(6)x
Answers
The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).
The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.
Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.
In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.
Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):
⇒ g(x) = 2 × 5(3)x = 10(3)x
Therefore, the required equation is g(x) = 10(3)x.
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Please help i need it!!!!!
A 6 N crate is lifted 2 meters. How much work is done?
A) 12 N/m
B) 4 N/m
C) 8 N/m
D) 3 N/m
Answers
The amount of work done is Option A) 12 N/m
What is work done?Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.
It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.
Work done on a body is equivalent to the increase in the energy of the body, because it transfers energy to the body.
The formula for work done is;
W = fd
Where, 'f' is the applied force and d is the distance
Substitute the values
Work done = 6(2)
Work done = 12 N/m
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Plsss help mark brain list
Answers
Answer:
54
Step-by-step explanation:
63 * 2 = m of arc DF
arc DF = 126
180 - 126 = 54
Arc FE = 54
Answer:
arc FE = 54°
Step-by-step explanation:
Because DE is a diagonal, ∠DFE is 90°.
∠FDE = 180° - 90° - 63° = 27°
arc FE = 2(∠FDE) = 2(27°) = 54°
If n is a positive odd number, then (-72.4)n is
Answers
Step-by-step explanation:
If n n n is odd, then ( − 72.4 ) n (-72.4)^n (−72.4)n will be negative since the product of an odd number of negatives gives a negative value. Therefore ( − 72.4 ) n (-72.4)^n (−72.4)n is a negative number with an absolute value greater than 1
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Use the data set below to answer the following questions. 20 26 28 25 28 18 23 15 17 26 29 24 29 29 17 15 17 20 30 29 16 21 22 28 19
Approximately what percent of the data are greater than 28?
Approximately what percent of the data are less than 23?
Approximately what percent of data are greater than 17.5?
Approximately what percent of data are between 17.5 and 28?
Answers
Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.
To answer the questions, we can analyze the given data set.
First, let's count the number of data points that satisfy each condition:
Greater than 28:
There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).
Less than 23:
There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).
Greater than 17.5:
There are 22 data points greater than 17.5.
Between 17.5 and 28:
There are 15 data points between 17.5 and 28.
Now, let's calculate the approximate percentage for each condition:
Percent greater than 28:
The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.
Percentage =\((9 / 24) \times 100 = 37.5\)%.
Percent less than 23:
Approximately, 8 out of 24 data points are less than 23.
Percentage = \((8 / 24) \times 100 = 33.3\)%.
Percent greater than 17.5:
Approximately, 22 out of 24 data points are greater than 17.5.
Percentage = \((22 / 24) \times 100 = 91.7\)%.
Percent between 17.5 and 28:
Approximately, 15 out of 24 data points are between 17.5 and 28.
Percentage = \((15 / 24) \times 100 = 62.5\)%.
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A group of friends goes out to lunch and decides to split the bill. Their bill is $32.50, plus they want to leave a 20% tip. The final amount will be split 4 ways.
What is the amount each person will pay?
$7.50
$8.15
$9.20
$9.75
Answers
Answer:
9.75
Step-by-step explanation:
6.5= 20% of 32.50
32.50+6.5= 39
39/4 = 9.75
Answer:
$9.75
Step-by-step explanation:
I took the test
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
Answers
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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Find the area of the rectangle with measurements shown; reduce to lowest terms: Length: 13 1/2 feet; Width: 10 2/3 feet
Answers
Answer:
Step-by-step explanation:
A = l*w
13.5 * 10.67 = 144.045 or 144
Hope that helps!
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answers
Answer:
5
Step-by-step explanation:
Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answers
Answer:
Step-by-step explanation:
Simplify the expression 4.5(− 6) + 19.
Answers
Answer:
-8
thats the answerr im sure
Answer:
The answer is -8.
Try maybe working it out or using a calculator.
The following figure is made of a square and a rectangle.
4 cm
4 cm
7
10 cm
What is the perimeter of the figure?
cm
Answers
When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answers
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES
pls help me asap i need it
Answers
Answer:
don't know
Step-by-step explanation:
Explanation: Multiply both by -3.
SOMEBODY PLEASE HELP ME !!!!!!!!
Answers
What is the answer please need help
Answers
Answer: 49
Step-by-step explanation:
An antique store increases all of its prices by $40\%$, and then announces a $25\%$-off-everything sale. What percent of the original prices (before the increase) are the new prices? show work plz! It's not 5% by the way
Answers
Answer:
105%
Step-by-step explanation:
We'll analyse the question one step at a time
Let the original price be x.
Let y be the 40% increase
\(y =x + 40\% *x\)
Express as decimal
\(y =x + 0.40 x\)
\(y =1.40x\)
Let z be the 25% off sale
\(z = (1 - 25\%) * y\)
Express as decimal
\(z = (1 - 0.25) * y\)
\(z = (0.75) * y\)
\(z = 0.75y\)
Substitute 1.40s for y
\(z = 0.75*1.40x\)
\(z = 1.05x\)
Express 1.05 as a fraction
\(z = 105\% * x\)
The percentage is 105%
Select the correct answer from each drop-down menu.
The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.
Answers
The completed statement with regards to the area of the square and the rectangle are;
The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.
What is the area of a square?The area of a square is the product of the side lengths which are congruent, therefore;
Area of a square = Side length, s × Side length, s = s²
The possible figure in the question includes;
A shaded square that is 125 square inches
An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches
Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.
Therefore;
The side length of the square = √(125) inches = 5·√5 inches
The estimated value of the side length of the square is; 5·√5 inches
The area of a rectangle = Length × Width
The length of the rectangle = 7·√5 inches
The width of the rectangle = 5·√5 inches
Therefore;
The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175
The estimated area of the unshaded rectangle is 175 square inches
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PLEASE ANSWER ASAP FOR BRANLIEST!!!!!!!!!!!!
Answers
Answer:
1. zero
2. seven over eight
3. one over three
4. one
5. one over two
PLEASE GIVE BRAINLYIST!!
Simplify \sqrt[3]{135^{a13}}
Answers
The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³
How to evaluate the radical expressionFrom the question, we have the following parameters that can be used in our computation:
A radical expression
The radical expression is given as
\sqrt[3]{135^{a13}}
Represent the expression properly
So, we have the following representation
∛135a¹³
Apply the exponent rule of indices
This gives
∛135a¹³ = (135a¹³)¹/³
135 and a¹³ are not perfect cube root expressions
This means that the expression cannot be further simplified
Hence, the solution is (135a¹³)¹/³
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what is the average speed of 600 meters and 40 seconds
Answers
Answer:
15 meters per secondStep-by-step explanation:
aver speed = distance / time
= 600 meters
40 seconds
= 15 meters per second
A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
Answers
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
Can you prove these similar triangle step by step?
Answers
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.
hopes this helps
Step-by-step explanation:
Helppppppppppppppppp
