Answers
Answer:
15.
\(x = 20\)
16.
\(\angle BFH\) = \(100\textdegree\)
\(\angle CBD\) = \(100\textdegree\) (if needed)
-------------------------------------------------------------------
17.
\(x = 7\)
18.
\(\angle BFH\) = \(68\textdegree\)
Step-by-step explanation:
15. The two following angles, which is \(\angle CBD\) and \(\angle BFH\), are Corresponding Angles. Write an expression by using the following measurements from \(\angle CBD\) and \(\angle BFH\). Then, solve the expression for the value of \(x\):
\(\angle CBD\) = \(5x\)
\(\angle BFH\) = \(3x + 40\)
\(5x = 3x + 40\)
Solve for \(x\):
\(5x = 3x + 40\)
\(5x - 3x = 3x - 3x + 40\)
\(2x = 40\)
\(\frac{2x}{2} = \frac{40}{2}\)
\(x = 20\)
16. After you have the value \(x\) use it to find the actual measurements of both \(\angle CBD\) and \(\angle BFH\), by applying \(x\) to the following expressions from both \(\angle CBD\) and \(\angle BFH\) and solve them:
-The value of \(x\):
\(x = 20\)
-Solve for \(\angle CBD\):
\(\angle CBD\) = \(5x\)
\(5(20)\)
\(100\)
-The actual measurement of \(\angle CBD\):
\(\angle CBD\) = \(100\textdegree\)
-Solve for \(\angle BFH\):
\(\angle BFH = 3x + 40\)
\(3(20) + 40\)
\(60 + 40\)
\(100\)
-The actual measurement of \(\angle BFH\): (if needed)
\(\angle BFH\) = \(100\textdegree\)
----------------------------------------------------------------------------
17. The two following angles, which is \(\angle BFE\) and \(\angle DBF\) are Alternate Interior Angles .Write an expression by using the following measurements from \(\angle BFE\) and \(\angle DBF\). Then, solve the expression for the value of \(x\):
\(\angle BFE\) = \(16x\)
\(\angle DBF\) = \(4x + 84\)
\(16x = 4x + 84\)
-Solve for \(x\):
\(16x = 4x + 84\)
\(16x - 4x = 4x - 4x + 84\)
\(12x = 84\)
\(\frac{12x}{12} = \frac{84}{12}\)
\(x = 7\)
18. After you have the value \(x\) use it to find the actual measurement of \(\angle DBF\), by applying \(x\) to the expression from \(\angle DBF\) and solve it and find the actual measurement of an angle that is not labeled, which is \(\angle BFH\):
-The value of \(x\):
\(x = 7\)
Solve for \(\angle DBF\):
\(\angle DBF\) = \(4x + 84\)
\(4(7) + 84\)
\(28 + 84\)
\(112\)
-The actual measurement of \(\angle DBF\):
\(\angle DBF\) = \(112\textdegree\)
-Since both \(\angle DBF\) and \(\angle BFH\) are supplementary (two angles that equals to \(180\textdegree\)), and you want to find the actual measurement of \(\angle BFH\), Use the measurement of \(\angle DBF\) and subtract it from \(180\textdegree\):
\(\angle DBF - 180\textdegree\)
\(112\textdegree - 180\textdegree = 68\textdegree\)
-The actual measurement of \(\angle BFH\):
\(\angle BFH\) = \(68\textdegree\)
Related Questions
Cual es la raíz cuadrada de 48?
Answers
√48 = 4√3
Click on the photo to view full solution
Please help me as soon as possible!
Thank you in advance!
Answers
Answer:
A) 15
Step-by-step explanation:
a = 3 b = 5 c = 7
a + b + c
3 + 5 + 7 = 15
Answer:
I believe it is A 15
Step-by-step explanation:
Solve the equation. Check the solution.
9-17x-5-4x=7
Answers
Answer:
x = -1/7
Step-by-step explanation:
Solve for x
9-17x-5-4x=7
Combine like terms
-21x +4 = 7
Subtract 4 from each side
-21x-4+4 = 7-4
-21x = 3
Divide each side by -21
-21x/-21 = 3/-21
x = -1/7
Check
9 - 17(-1/7) -5 -4(-1/7) =7
9 + 17/7 -5 + 4/7 =7
4 +21/7 = 7
4+3 = 7
7=7
How can you use fractions, decimals, or percents to represent and compare parts of a whole or a set? Give an example and explain how you use models or conversions to represent and compare them.
Answers
Fractions, decimals, and percent are commonly used to represent and compare parts of a whole or a set.
For example, if a student earned an A in a course that was worth 20% of their final grade, we could represent this as a fraction (1/5), a decimal (0.2) or a percent (20%). To convert between these representations, you can use a conversion chart or simple multiplication. For example, to convert from a fraction to a percent, you could multiply the numerator by 100 and divide by the denominator. In this case, (1/5) x 100/5 = 20%.
In math, what are percentages?In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100). Jul 21,
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1. One mole of an ideal gas expands isothermally at T = 20°C from 1.1 m³ to 1.8 m³. The gas constant is given by R = 8.314 J/(mol K). (a) Calculate the work done by the gas during the isothermal ex
Answers
The work done by the gas during the isothermal expansion is 331.32 J.
Isothermal Expansion refers to a process in which the temperature of a system stays constant while the volume increases. In this process, an ideal gas expands from 1.1 m³ to 1.8 m³, and the gas constant is R = 8.314 J/(mol K).
The work done by the gas during the isothermal expansion can be calculated as follows:Answer:During an isothermal process, the change in internal energy of the system is zero since the temperature remains constant.
Therefore,ΔU = 0The first law of thermodynamics is given by:ΔU = q + w
where q is the heat absorbed by the system, and w is the work done on the system.Since ΔU = 0 for an isothermal process, the above equation reduces to:w = -q
During an isothermal process, the heat absorbed by the system is given by the equation:q = nRTln(V₂/V₁)Where, n is the number of moles, R is the gas constant, T is the temperature, V₁ is the initial volume, and V₂ is the final volume.
Substituting the given values, we have:q = (1 mol) × (8.314 J/(mol K)) × (293 K) × ln(1.8 m³ / 1.1 m³)q = 331.32 J
Therefore, the work done by the gas during the isothermal expansion is given by:w = -qw = -(-331.32 J)w = 331.32 J
Thus, the work done by the gas during the isothermal expansion is 331.32 J.
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What are some parent functions with a domain of all real numbers?
Answers
Answer:
The identity function has a slope of m = 1 and a y-intercept of (0, 0) .
Step-by-step explanation:
The identity function is a special type of linear function having the form f(x) = x . The domain of this function is all real numbers and the range consists of all real numbers .
Please give the proof process: 2n3 + 3n +10 = Q( n³).
Answers
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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How to do This item ? help me please!!!!
Answers
Answer:
I don't know if this will be helpful but here,
Step-by-step explanation:
what is Hola, soy el chico nuevo de la clase y me gustan los coches. in english and what is 20+20+x56?
Answers
1. Hi, Im the new kid in class and I like cars.
2. 2240.
( 20 + 20 = 40)
40 x 56 = 2240.
Answer:
it means ''Hi I'm the new kid from class and I like cars.
and 2240 is the answer for the equation
Step-by-step explanation:
hope this helped you!
Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
Answers
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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What is the difference quotient for the function f (x) = negative startfraction 1 over 5 x minus 12 endfraction?
Answers
The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
According to the given question.
We have a function
f(x) = -1/(5x -12)
As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.
The difference quotient formula of the function y = f(x) is
[f(x + h) - f(x)]/h
Where,
f(x + h) is obtained by replacing x by x + h in f(x)
f(x) is a actual function.
Therefore, the difference quotient formual for the given function f(x)
= [f(x + h) - f(x)]/h
= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)
= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)
= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)
= \(\frac{-1+5h}{(5x +h-12)(h)}\)
= \(\frac{-1+5h}{5xh + h^{2} -12h}\)
= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)
= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)
Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
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help me please quick!!!
Answers
Answer:
y is 12 degrees
x is 30 degrees
Step-by-step explanation:
If angle ABC is equal to angle MNC, that means 5y equals to 60 degrees. 60 divided by 5 equals 12. So, y equals 12 degrees
2x and 4x equals 180 degrees. So, 180 divided by 6 equals to 30. So x equals 30 degrees
Answer:
x = 30, y = 12
Step-by-step explanation:
2 similar equilateral triangles, each corner is 60 degrees.
2x = 60 degrees
divide by 2
x = 30 degrees
5y = 60 degrees
divide by 5
y = 12 degrees
This can be verified by checking 4x + 2x which gives you 180 degrees forming that straight line angle.
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries twelve, more than, quotient, a number, eight. Column 2 is labeled Replace with entries 12, +, divided by, k, 8. Write and evaluate the expression. Then, complete the statement. twelve more than the quotient of a number and eight The value of the expression when k = 40 is
Answers
Answer:
17
Step-by-step explanation:
hope it helps
Answer:
The value of the expression when k = 40 is 17.
Step-by-step explanation:
Please give the person that answered before me the brainiest because they deserve it, I just used their answer so you could choose brainiest.
The depth of a local river averages 25 ft, which is represented as |−25|. In January, it measured 5 ft deep, or |−5|, and in July, it was 27 ft, or |−27|. What is the difference between depths in January and July?
2 feet
12 feet
22 feet
32 feet
Answers
Based on the depth of the local river in January and the depth of the river in July, the difference between depths in January and July is 22 feet.
What is the difference in depth?The difference in the depth between July and January can be found as:
= Absolute value of depth in July - Absolute value of depth in January
Solving for the difference in depth gives:
= 27 - 5
= 22 feet
In conclusion, the difference in depths between January and July is 22 feet.
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what is 6/10 in simplist form
Answers
Answer:
3/5
Step-by-step explanation:
both 6 and 10 divide by 2. divide each number by 2 and you get 3/5
Answer:
3/5
Step-by-step explanation:
To find the simplest form of 6/10, you must reduce the fraction.
I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).
Hope this helps :)
A population grows according to an exponential growth model. The initial population is 215 and the population after one year is 278.
Complete the formula where P is the population and n is the number of years.:
Answers
Answer:
?????
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS
Arrange it in descending order and give the degree of the polynomial.
Answers
Answer:
the degree is 5
they are in decending order
Step-by-step explanation:
A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg
Answers
By taking the product between density and volume we will see that the mass is 284.2 kg
How to find the mass of helium?Remember that density is the quotient between mass and volume, then:
mass = density*volume.
Here we know that:
volume = 1,592 m³density = 0.1785 kg/m³Taking the product of these two we get:
mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg
So the correct option is the second one.
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Answer:
284.2 kg my good sir
Step-by-step explanation:
Big brain
There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?
Answers
Answer:
9 is the answer to that question
Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 3 (multiplicity 2), i
Answers
To find a polynomial of degree 4 with real coefficients and specific zeros, we can use the fact that complex conjugates are also zeros of a polynomial with real coefficients. Given the zeros 3 (multiplicity 2) and i, we know that the complex conjugate of i is -i, which is also a zero.
To construct the polynomial, we start by writing the factors corresponding to each zero. For the real zeros, we have (x - 3) and (x - 3) as factors. For the complex zeros, we have (x - i) and (x + i) as factors.
Multiplying these factors together, we get the polynomial:
f(x) = (x - 3)(x - 3)(x - i)(x + i)
Expanding this polynomial, we can simplify it further if desired. The polynomial f(x) will have a degree of 4, real coefficients, and the specified zeros.
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A tailor needs meters of cloth to make a poncho. How many meters does he need to make 15 ponchos of the same size?
A.
B.
C.
D.
E.
Answers
Answer: C.51
Step-by-step explanation:
3 2/5*15=51
Are the triangles shown below similar? Present an informal argument as to why they are or
why they are not.
Yes, They have two matching angles
No, They only have 1 matching angle
Yes, The sides are proportional.
No, The sides are different
Answers
i dont know im only pretty. math doesnt matter anyways.
Chris is selling chicken sandwiches and hamburgers at the fair in his home town. He has a total of 40 buns so he can sell no more than 40 chicken sandwiches and hamburgers. Each chicken sandwich sells for $4 and each hamburger sells for $2. In order to reach his goal, Chris must make at least $100.
Answers
The number of chicken sandwiches is 10 and the number of hamburgers is 30 if the total number of eatables sold is 40 at the rate that each chicken sandwich sells for $4 and each hamburger sells for $2 and Chris has to make $100.
Let the number of the chicken sandwich be x
the number of hamburgers be y
Total number of eatables sold = 40
x + y = 40 ---- (i)
Money earned after selling one chicken sandwich = $4
Money earned after selling x chicken sandwich = 4x
Money earned after selling one chicken sandwich = $2
Money earned after selling y chicken sandwich = 2y
Total money earned = $100
4x + 2y = 100 -----(ii)
Divide equation (ii) by 2
2x + y = 50 ------ (iii)
Subtract equations (i) and (iii)
2x + y - x - y = 50 - 40
x = 10
Put x in equation (i)
10 + y = 40
y = 40 - 10
y = 30
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The complete question might be:
Chris is selling chicken sandwiches and hamburgers at the fair in his hometown. He has a total of 40 buns so he can sell no more than 40 chicken sandwiches and hamburgers. Each chicken sandwich sells for $4 and each hamburger sells for $2. In order to reach his goal, Chris must make at least $100. So what is the number of chicken sandwiches and hamburgers that he must sell to achieve his goal?
There are 200 end of the year school dance tickets available students who have perfect attendance armrest able to purchase if 18 tickets were purchase in advance then what percent of the tickets were purchased in advanced
Answers
36 tickets were purchased in advanced.
Explanation:
200 x 0.18 = 36
the dot plot below shows the number of songs carly downloaded over 15 successive weekends. what is the greatest number of songs downloaded?
Answers
The greatest number of songs downloaded is 10."
How we find the greatest number of songs downloaded?"What is the greatest number of songs downloaded?" is:
Identify the highest point on the dot plot.Read the number of songs downloaded at that highest point.A dot plot is a graphical representation of data using dots. In this case, the dot plot shows the number of songs Carly downloaded over 15 successive weekends. Each dot represents the number of songs downloaded during a particular weekend
To find the greatest number of songs downloaded, we need to identify the highest point on the dot plot. This can be done by visually examining the dot plot and looking for the highest dot.
Once we identify the highest dot, we can see the number of songs downloaded during that particular weekend, which is the greatest number of songs downloaded over the 15 successive weekends.
if the highest dot on the dot plot represents 10 songs downloaded, then the answer to the question would be "The greatest number of songs downloaded is 10."
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I need help!!
If any boady could tell me the awnswer that would be great
Answers
Answer:
1/4 and 3/8 = 2/8 and 3/8
1/4 and 1/2 = 1/4 and 2/4
2/16 ad 3/8 = 2/16 and 6/16
1/4 and 2/16 = 4/16 and 2/16
1/2 and 3/8 = 4/8 and 3/8
Step-by-step explanation:
Answer:
The first box goes with the third bottom box. The second box goes with the 5th bottom box. The third box goes with the first bottom box. The fourth box goes with the fourth bottom box. Lastly the 5th box goes with the second bottom box.
Hope this helps
PLEASE HELP!!!!!! CORRECT ANSWER GETS BRAINLIEST
Answers
I NEED AN ANSWER ASAP PLEASE
Answers
Step-by-step explanation:
the correct answer is option a 6a-7
Sam is a forklift operator at a Los Angeles warehouse. A 500 kg crate arrived from Taiwan. His forklift can load 2,500 lb. He wants to know if it is safe to lift the crate. How many pounds does the crate weigh?
PLZZZ HELP
Answers
1 kg = 2.2 pounds ( rounded to the nearest tenth)
500 kg x 2.2 = 1,100 pounds
1100 pounds is less than 2,500 so the forklift can lift it.
Answer:
2,500= 1133.981
Step-by-step
The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237
= 1133.980925 kg
0.45359237 this is the conversion rate therefore 1134 is the answer (was rounded)
Consider the following IS-LM model: C=217+0.51Y D I=156+0.16Y−1,038i G=254 T=203 i=0.04 The IS equation is determined to be Y=1,586.27−3,145.45. The LM equation is given as i=0.04. Using the IS and LM equations, the equilibrium real output, Y, is (Round your response to the nearest integer.) Using the IS-LM model, the equilibrium value of consumption, C, is (Round your response to the nearest integer.)
Answers
In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.
The IS equation is given by: Y = 1,586.27 - 3,145.45i.
The LM equation is given as: i = 0.04.
To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:
Y = 1,586.27 - 3,145.45 * 0.04.
Calculating the right side of the equation, we have:
Y = 1,586.27 - 125.82,
Y ≈ 1,460.
Therefore, the equilibrium real output, Y, is approximately 1,460.
To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:
C = 217 + 0.51Y.
Substituting Y = 1,460, we have:
C = 217 + 0.51 * 1,460.
Calculating the right side of the equation, we find:
C ≈ 984.
Therefore, the equilibrium value of consumption, C, is approximately 984.
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