Answers
Answer:
Step-by-step explanation:
<3 = 55° ( vertically opposite angles )
<4 = 180 - 105 = 75° ( linear pair )
<5 = 180 - ( 55 + 75 ) ( angle sum property of a triangle )
= 180 - 130
= 50°
<1 = <2 ( angles opposite to equal sides )
let < 1 and < 2 be x
55 + 2x = 180 ( angle sum property of a triangle )
2x = 180 - 55
2x = 125
x = 125 / 2
x = 62.5
therefore, < 1 = <2 = 62.5°
Hope this helps
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Related Questions
In the figure below, k || l and m || n. Find the values of y and x.
Answers
Answer:
x = 30
y = 115
Step-by-step explanation:
Suppose line m is parallel to line n:
65+y = 180 because they are supplementary angles
subtract 65 from both sides
y = 115
angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:
3x + 25 = 115 subtract 25 from both sides
3x = 90 divide both sides by 3
x = 30
It takes Boeing 29,454 hours to produce the fifth 787 jet. The learning factor is 75%. Time required for the production of the eleventh 787 : 11th unit time hours (round your response to the nearest whole number).
Answers
The estimated time required for the production of the eleventh 787 jet is approximately 14,580 hours.
To calculate this, we start with the given information that it takes Boeing 29,454 hours to produce the fifth 787 jet. The learning factor of 75% indicates that there is an expected reduction in production time as workers become more experienced and efficient. This means that each subsequent jet is expected to take less time to produce compared to the previous one.
To determine the time required for the eleventh 787, we apply the learning factor to the time taken for the fifth jet. We multiply 29,454 hours by the learning factor of 0.75 to obtain 22,090.5 hours. Since we are asked to round the response to the nearest whole number, the estimated time for the eleventh 787 is approximately 22,091 hours.
However, we are specifically asked for the time required for the eleventh unit, which implies that the learning factor is not applied to subsequent units beyond the fifth jet. Therefore, we can directly divide the estimated time for the fifth jet, which is 29,454 hours, by the number of units (11) to calculate the time required for the eleventh 787. This gives us an estimated production time of approximately 14,580 hours.
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Let us suppose the following profit function for this industry: π(p,w
1
,w
2
)=
8(w
1
+w
2
)
1/2
p
2
where p is the market price of its output, while w
1
and w
2
are the prices of the inputs. Assume further that the firms are identical and that each firm faces the same market prices for both its output as well as inputs. a) Explain whether the firm is operating in the short run or long run and further determine the supply function for each firm. b) Derive the firm's input demand functions, determine their degree of homogeneity as well as the impact of a change in the input prices. c) Derive the market supply function given that there are 40 firms operating in this, market. d) If the market price of output (p) is 5 , the market price of the input (w
1
) is 1 , that of (w
2
) is also 1 and the demand function is given by q=1500/p(p+1). Determine the total market supply.
Answers
(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.
(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.
(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.
(d) Given the market conditions and demand function, the total market supply can be calculated.
(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).
(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.
(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).
(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.
In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.
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which of the following are considered assets?
Answers
Answer:
Number 1, i think
Step-by-step explanation:
Answer:
III and II because those are MANDATORY everday. Assets.
Step-by-step explanation:
Assests mean what is mandatory in everyday life.
HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer: 135 I yhink
Not 100% sure though
Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.
Answers
Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
You ask 170 of your classmates how often they send a letter in the mail. Complete the two-way
frequency table to show the results of the survey.
Construct the two-way frequency table.
Answers
The number of girls that send letters weekly is 25.
Total number of classmates that send letters monthly is 30.
The number of boys that send letters yearly is 25.
The number of girls that never send letters is 30.
The number of boys that never send letters is 30.
Total number of boys is 80.
Definition of a two-way frequency table.A two-way frequency table displays data from a single group of people into two categories. In this question, the two-way frequency table groups data on classmates into males and females.
Constructing the tableThe number of females that send letters weekly = 40 - 15 = 25. Total number of classmates that send letters monthly = 20 + 10 = 30The number of males that send letters yearly = 40 - 15 = 25. The number of females that never send letters = 90 - (25 + 20 + 15) = 30 The number of males that never send letters =60 - 30 = 30 Total number of boys = 170 - 90 = 80To learn more about subtraction, please check: https://brainly.com/question/854115
group of 25 pennies is arranged into three piles such that each pile contains a different prime number of pennies. what is the greatest number of pennies possible in any of the three piles?
Answers
The greatest number of pennies possible in any of the three piles is 23.
Given that the group of 25 pennies is arranged into three piles such that each pile contains a different prime number of pennies.
We need to find the greatest number of pennies possible in any of the three piles, we need to consider prime numbers less than or equal to 25. Let's examine the prime numbers less than 25:
2, 3, 5, 7, 11, 13, 17, 19, 23
Since we have 25 pennies in total, we can't have a pile with a prime number greater than 25.
Therefore, the greatest number of pennies possible in any of the three piles is 23.
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Just deposits $2800 at 6.45% interest compounded weekly. What will be his ending balance after 10 years? Round to the neatest penny??
Answers
Answer:
6,52
Step-by-step explanation:
PLEASE HELP ME ON THIS IT IS URGENT IT IS GEOMETRY ILL MARK U THE BRAINLIEST DONT WASTE ANSWERS
Answers
It’s a reflection of the two angels
Thomas runs 1200m with a constant velocity of 8ms-' before jogging for
the next 200 seconds at a constant velocity of 2ms",
Draw accurate displacement/time & velocity/time graphs for this
run. Draw these directly underneath each other,
Answers
Step-by-step explanation:
only attached the displacement/time graph
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms.
7, 3, −1, −5, ...
Answers
Common difference = how much it is going up: -4
Solution: yes it’s arithmetic. The common difference is -4. The next three terms is -9, -13, -17
if expected frequencies are not all equal, then we can determine them by enp for each individual category, where n is the total number of observations and p is the probability for the category. b. if expected frequencies are equal, then we can determine them by , where n is the total number of observations and k is the number of categories. c. expected frequencies need not be whole numbers. d. goodness-of-fit hypothesis tests may be left-tailed, right-tailed, or two-tailed.
Answers
If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.
On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.
Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.
Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.
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A squirrel can run a short distance at a rate of 4 3/4 miles in 15 minutes. A fox can run a short distance at a rate of 21 miles in half an hour. Which is faster, How much faster in miles per hour? Please give a step by step explanation
Answers
Answer:
The fox; 23 miles per hour
Step-by-step explanation:
The speed of fax is 42 miles/hour and the speed of fax is 19 miles/hour. So, fax is faster and 23 miles per hour fax is faster than squirrel.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time.
Given that, a squirrel can run a short distance at a rate of \(4\frac{3}{4}\) =19/4 miles in 15 minutes.
We know that, Speed =Distance/Time
= 19/4 ÷15/60
= 19/4 × 60/15
= 19/4 × 4/1
= 19 miles per hour
So, speed of squirrel is 19 miles per hour
Speed of fax =21÷30/60
= 21×2
= 42 miles per hour
So, speed of fox is 42 miles per hour
Difference in speed =42-19
= 23 miles per hour
Hence, fax is faster and 23 miles per hour fax is faster than squirrel.
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An experimenter would like to construct a 99% confidence interval with a width at most 0. 5 for the average resistance of a segment of copper cable of a certain length. If the experimenter knows that the standard deviation of such resistances is 1. 55. How big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?.
Answers
A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.
In the given question,
The confidence level = 99%
Given width = 0.5
Standard deviation of resistance(\sigma)= 1.55
We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.
The formula to find the a big sample that should the experimenter take from the population is
Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)
So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)
where n=sample size
We firstly find the value of ME and \(z_{\alpha /2}\).
Firstly finding the value of ME.
ME=Width/2
ME=0.5/2
ME=0.25
Now finding the value of \(z_{\alpha /2}\).
Te given interval is 99%=99/100=0.99
The value of \(\alpha\) =1−0.99
The value of \(\alpha\) =0.01
Then the value of \(\alpha /2\) = 0.01/2 = 0.005
From the standard table of z
\(z_{0.005}\) =2.58
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{1.55}{0.25})^2\)
Simplifying
n=(3.999/0.25)^2
n=(15.996)^2
n=255.87
n≈256
Hence, the sample that the experimenter take from the population is 256.
Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.
The new values,
Standard deviation of resistance(\(\sigma\))= 2×1.55
Standard deviation of resistance(\(\sigma\))= 3.1
width = 2×0.5
width = 1
Now the value of ME.
ME=1/2
ME=0.5
The z value is remain same.
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{3.1}{0.5})^2\)
Simplifying
n=(7.998/0.5\()^2\)
n=(15.996\()^2\)
n=255.87
n≈256
Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.
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Here is a regular hexagon and a square. Work out the size of the angle marked x. You must show all your working. X
Answers
Answer:
x = 210°
Step-by-step explanation:
Angles in a hexagon = 360°
A hexagon has 6 angles
Therefore, 360÷6= 60°
Each angle is equal to 60°
Angles in a square = 360°
A square has 4 Angles
Therefore, 360÷4= 90°
Each angle is equal to 90°
x= 360 - (one square angle + one hexagon angle)
x = 360 - (90 + 60)
x = 360 - 150
x = 210°
GUYS PLS HELPPP ME!!!!
Answers
if the end behavior is decreasing to the left and increasing to the right, which statement must be true about the function?
Answers
The correct statement is end behavior is decreasing to the left and increasing to the right, which statement must be true about the function is The order is odd and the leading coefficient is negative.
As x approaches infinity it is detected by its limit. On the left side, it is given by:
Rim x -> - ∞ f(x)On the right-hand side, it is given byRim x -> ∞ f(x)Since x tends to infinity, this is the limit, so we only consider the highest order term and its predecessors.So the described behavior is i. H. lim→→ = ∞, lim⭑→∞ =1∞ if:The order is odd and the leading coefficient is negative.For more information about borders, visit
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If a system of equations has an infinite
number of solutions, what does that mean for
the equations of the lines? Give an example
of a system of equations with an infinite
number of solution.
Answers
Answer:
4x -2y +6 = 0y/3 -x/1.5 = 1Step-by-step explanation:
A system of two linear equations has an infinite number of solutions if the equations are dependent. That is, they describe the same line. Each equation can be rearranged to be identical to the other.
Example
4x -2y +6 = 0 . . . . . . general form equation
y/3 -x/1.5 = 1 . . . . . . intercept form equation
Both of these can be rearranged to the slope-intercept form equation ...
y = 2x +3
_____
Because these equations describe the same line, one of them is shown "dotted" in the attached graph.
__
Additional comment
A "standard form" equation looks like ...
ax +by = c
where a ≥ 0, and a, b, c are mutually prime (integers). If a=0, then b > 0.
A "general form" equation looks like ...
ax +by +c = 0
Most descriptions of general form place no constraints on a, b, c, except to say that 'a' and 'b' cannot both be zero. It usually works well to "reduce" it so the coefficients are mutually prime (integers).
Of course, neither of these forms can have integer coefficients if the slope is an irrational number.
The price of a video game was reduced from $400 to $320. By what percentage was the price of the video game
Answers
Зm + 4р
m=3 p= -3
will give the crown there are 16 questions left
Answers
Answer:
I would say 21 sorry if it was wrong
Step-by-step explanation:
3 x 3 is 9.
4 x 3 is 12.
9+12 is 21.
what is 8x5? Please help me
Answers
Explanation
8 x 5 means 8 in 5 places
\(8+8+8+8+8=40\)Answer: 40
Solve the polynomial (Preferably with the X or Box method) 2a^2+6a=20
Answers
Answer:
Step-by-step explanation:
\(2a^{2} +6a=20\\2a^{2} +6a-20=0\\a^{2} +3a-10=0\\a^{2} +5a-2a-10=0\\a(a+5)-2(a+5)=0\\(a+5)(a-2)=0\\a=2,-5\)
What’s the distance between (1, 2) and (5,2)
Answers
Answer:
4 to the right on the x axes
Step-by-step explanation:
(1,2) and (5,2) are 4 away
Answer:
(4,0)
Step-by-step explanation:
Determine whether the given expression is a polynomial. If so, tell whether it is a monomial, binomial, or trinomial. x^(5)y^(3)
Answers
Yes, the expression is a polynomial, and it is a monomial.
Is the expression a polynomial?A polynomial is an expression where we have a linear combination of powers of some variables, such that all the powers have natural numbers as exponents.
Here we have the expression:
x⁵y³
We can see that the two exponents are 5 and 3, so both are natural numbers, then yes, this is a polynomial.
And it is a monomial, because it has only one term.
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HELP FAST 15 POINTS!!!!!
Answers
hope it helps! <3
Answer:
A A or the second answer choice
Step-by-step explanation:
this is because the line intersects those axes at those two points.
hope this helped !! pls give brainliest <3
according to the property √a/√b=√a/b, which choice is equivalent to the quotient below? √72/2
Answers
According to the property \(\frac{\sqrt{a} }{\sqrt{b} }\) = \(\sqrt{\frac{a}{b} }\), \(\sqrt{\frac{72}{2} }\) = 6.
What is square root?The square root of a number is the value of power 1/2 of that number. In other words, it is the number whose product by itself gives the original number.
Given
\(\sqrt{\frac{72}{2} }\)
= \(\sqrt{36}\)
= 6
According to the property \(\frac{\sqrt{a} }{\sqrt{b} }\) = \(\sqrt{\frac{a}{b} }\)
\(\sqrt{\frac{72}{2} }\) = \(\frac{\sqrt{72} }{\sqrt{2} }\)
= \(\frac{6\sqrt{2} }{\sqrt{2} }\)
= 6
Thus, according to the property \(\frac{\sqrt{a} }{\sqrt{b} }\) = \(\sqrt{\frac{a}{b} }\), \(\sqrt{\frac{72}{2} }\) = 6.
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Can someone solve this?
Answers
Answer:
x = 102y = 78z = 66Step-by-step explanation:
You want to know the values of x, y, and z, which are three angles in a figure showing two triangles that share a side and a base.
Angle sum theoremThe angle sum theorem tells you the sum of angles in a triangle is 180°. This means ...
x° +32° +46° = 180°
x = 180 -78 . . . . . . divide by °, subtract 78 from both sides
x = 102
Linear PairAdjacent angles that form a straight line are called a "linear pair." Their sum is 180°
y° +x° = 180°
y = 180 -x = 180 -102
y = 78
Remote interior anglesYou may have noticed that the value of y is equal to the sum of the two given angles in the triangle containing x. That is, the exterior angle is equal to the sum of the remote interior angles. This is also true for the left-side triangle:
x° = z° +36°
z = x -36 . . . . . divide by °, subtract 36
z = 102 -36
z = 66
__
Additional comment
The theorems cited here can be used in a number of different combinations to find the measures of these angles. We could start by finding y = 32+46 = 78, then z = 180 -36 -78 = 66, and x = 36 +66 = 102.
he measure of ∠DBE is (0.3x−22)° and the measure of ∠CBE is (0.1x - 51)
Answers
Answer:
x = 415
Step-by-step explanation:
(0.3x - 25) + (0.1x - 51) = 90°
0.3x - 25 + 0.1x - 51 = 90
0.4x - 76 = 90
+ 76 + 76
0.4x = 166
÷0.4 ÷0.4
x = 415
The equation is a right angle so it's equal to 90°
I hope this helps!
Write as a fraction in lowest terms:
Answers
Answer:
\(\frac{79}{100}\)
Step-by-step explanation:
Question:
Write as a fraction in lowest terms:
Answer:
a = 79
b = 99