Answers
Answer:
b = 61.1° , d = 43.7°
Step-by-step explanation:
b and 61.1° are alternate angles and are congruent , so
b = 61.1°
d and 43.7° are alternate angles and are congruent , so
d = 43.7°
The solution is, : the measure of b and d angle when given that m||n,
b = 60.7
d = 43.1
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Explanation:
The angles of measure 61.1 and b are alternate interior angles because they are on opposite sides of the transversal and in the inside of the parallel lines m and n.
These angles have the same measure, so
b = 61.1
Angle d and the angle of measure 136.9 form a straight line, so they sum to 180 degrees.
Therefore, the measure of angle d is
d = 180 - 136.3
= 43.7
Therefore, the answers are
b = 61.1
d = 43.7
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Related Questions
Expand then fully factorise 9(f + 3) +36f - 3)
Answers
Answer:
3(15f + 8)
Step-by-step explanation:
9f + 27 + 36f - 3
We can take out 3.
3(3f + 9 + 12f -1)
3(15f + 8)
Estimate the area of the circle. Use π = 3.14. Round to the nearest hundredth if necessary.
The radius is 24.4
PLEASE GIVE CORRECT ANSWER AND YOU WILL GET BRAINLY
i need answer asap thank you
Answers
Answer: The area of the circle is 1869.43 m2.
Explanation: The area of a circle is calculated when 3.14 is multiplied by the radius squared (24.4 x 24.4 in this situation).
3. A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.9c + 1.89r = 17.01 represents the relationship between the quantities in this situation. Show that each of the following equations is equivalent to. 0.9c + 1.89r = 17.01 Then, explain when it might be helpful to write the equation in these forms.
A. c = 18.9 - 2.1r
B. r = - 10/21 c + 9
Answers
Answer:
See belowStep-by-step explanation:
Given equation:
0.9c + 1.89r = 17.01Make c the subject:
0.9c = 17.01 - 1.89rDivide all terms by 0.9:
c = 17.01/0.9 - 1.89r / 0.9c = 18.9 - 2.1rNow make r the subject:
1.89r = 17.01 - 0.9cDivide all terms by 1.89:
r = 17.01/1.89 - 0.9c/1.89r = 9 - 1/2.1cr = 9 - 10/21cr = - 10/21c + 9Confirmed that both equations are equivalent with the initial one.
These are helpful when finding one of the variables if the value of another variable is given.
Answer:. r = - 10/21 c + 9
Step-by-step explanation:
Everyday at school, Jo climbs a flight of 66 stairs. Jo can take the stairs 11, 22, or 33 at a time. For example, Jo could climb 33, then 11, then 22. In how many ways can Jo climb the stairs
Answers
Answer: There are 24 ways.
Step-by-step explanation:
All the numbers are divisible by 11, so divide all the numbers by 11 to make the problem simpler: Jo climbs a flight of 6 stairs. Jo can take the stairs 1, 2, or 3 at a time.
A recursive approach can now solve this problem. The number of ways to climb one stair is 1. There are two ways to climb 2 stairs: (1, 1) or (2). For 3 stairs, there are 4 ways: (1, 1, 1), (1, 2), (2, 1), and (3). Extending this pattern, there are 1+2+4 = 7 ways to climb up 4 stairs, 2+4+7 = 13 ways to climb up 5 stairs, and 4+7+13 = 24 ways to get up 6 stairs.
The total number of ways by which Jo climbs the stairs at school when he can take the stairs 1, 2, or 3 at a time.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways. The number of possible ways to arrange is n!.
Here, n is the number of objects.
Every day at school, Jo climbs a flight of 6 stairs. Jo can take the stairs 1, 2, or 3 at a time. For example, Jo could climb 3, then 1, then 2.
With one stair, there is one way to climb. With two stairs, the ways to climb are two 1-1 at a time or 2 at a time. For the three stair, there are 4 ways,
[tex]1+1+1,1+2,2+1,3[/tex]
For the three stair, there are 7 possibilities he can climb the stair.
[tex]1+1+1+1,\;1+1+2,\;1+2+1,\;2+2\;,2+1+1\;1+3.\;3+1[/tex]
In the same way for the 5 the stair there are 6 additional steps add in it, which makes it 13.
For the six stair for single step, we have 13 ways, for double step we have 7 ways and for triple step we have 4 ways. Thus,
[tex]\rm Number\; of \; ways=13+7+4\\\rm Number\; of \; ways=24[/tex]
Thus, the total number of ways by which Jo climbs the stairs at school when he can take the stairs 1, 2, or 3 at a time.
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Help!!!!!! 15 Points!!!!!!!!!!!!!!!!!!!!!!!
Answers
What is the value of m to the power of 5?
Answers
Answer:
the power of m⁵ is just m⁵ bc u don't know what m is so u can't do anthything else to it.
Step-by-step explanation:
hope this helps
Answer:
You are right it is just m^5
Step-by-step explanation:
m*m*m*m*m just results in m^5.
You have already made it into the simpliest form.
m is a variable, and at the moment, there is nothing to substitute m for.
The conditional relative frequency table below was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant. A 4-column table with 3 rows titled number of calories and location of meal preparation. The first column has no label with entries greater than or equal to 500 calories, less than 500 calories, total. The second column is labeled home with entries 0. 15, 0. 85,1. 0. The third column is labeled restaurant with entries 0. 55, 0. 45, 1. 0. The fourth column is labeled total with entries 0. 28, 0. 72, 1. 0. A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains. Which is most likely true? An association cannot be determined because the value 0. 55 is similar to the value 0. 45. There is an association because the value 0. 15 is not similar to the value 0. 55. There is an association because the sum of each column is 1. 0. An association cannot be determined because the sum of the rows going across is not 1. 0.
Answers
Conditional relative frequency compares a frequency count to the marginal total that represent the condition of interest. The correct conditions for the given problem is there is an association because the value 0. 15 is not similar to the value 0. 55.Thus the option B is the correct option.
Given information-The first column has no label with entries [tex]\geq[/tex] 500 calories, < 500 calories and total.
The second column is labeled home with entries 0.15, 0.85 and 1.0.
The third column is labeled restaurant with entries 0.55, 0.45 and 1. 0.
The fourth column is labeled total with entries 0.28, 0.72 and 1.0.
The nutritionist has to determine an association between where food is prepared and the number of calories the food contains.
Conditional relative frequencyConditional relative frequency compares a frequency count to the marginal total that represent the condition of interest.The greater the difference in the Conditional relative frequencies the stronger the evidence that an association exist.
For the given table there is a significance difference between the values of the calories. The difference between the calories of home is a significant difference of 0.15 to 0.85.
Thus the correct conditions for the given problem is there is an association because the value 0. 15 is not similar to the value 0. 55.Thus the option B is the correct option.
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Answer:
b is right
Step-by-step explanation:
Put in the correct order
Answers
Answer:
Step-by-step explanation:
1) Set the equation as: x=3y+8
2) Subtract 8 from each side as: x-8=3y+8-8
3) Simplify as: x-8=3y
4) Divide each side by 3 as y=[tex]\frac{x-3}{8}[/tex]
What is 3x 2.7? I just have this question
Answers
Answer:
8.1
Step-by-step explanation:
3 x 27 = 81
8.1
3 x 2.7 = 8.1
If a triangle has a 90 and 32 degree angle what is the third angle?
Answers
Answer:
52
Step-by-step explanation:
because it makes sense
Answer: 58
Step-by-step explanation:
90 + 32 + x= 180
122 + x= 180
X= 58
Write the equation in standard form.
y−10=2(x−8)
Answers
Answer:
y=2x+6
Step-by-step explanation:
y-10=2x-16
y=2x+6
What is the area of the figure if x = 25 cm and y=20 cm?
Use 3.14 to approximate it.
Answers
The area of the circle is 6,358.5cm²
Area of the circleThe formula for calculating the area of a circle is expressed as;
A = πr²r is the radius = x + y
r = 25 + 20 = 45cm
Substitute the given parameters into the formula to have:
A = 3.14(45)²
A = 6,358.5cm²
Hence the area of the circle is 6,358.5cm²
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write and solve inequality for the possible values of x
Answers
Answer:
write and solve ineggally for the possible views do
A farmer had 16 sacks of corn, to which he adds : } of a sack. How many sacks of corn does he have now?
Answers
Answer:
I think part of the problem listed above is missing?
helppppppppppppp 29pts!
Answers
Answer
The second day she produced 14 more dollars adding a child ticket.
so now i know that a child ticket costs 14 dollars. from the first question i subtract 38 from 14 which equals 24. I then divide 38 from 3 (the amount of senior people that came) which equals 12.66 dollars for a senior.
maybe round 12.66 which can equal to 12.70 if needed
Solve for "x":
6 + 3x = 81 – 14
X
=
( answer
Answers
Answer:
Step-by-step explanation:
6 + 3x = 81 – 14
3x = 61
x ≈ 20
First you subtract 14 from 81, which is 67.
Then you subtract 6, the constant, from both sides so the only thing that remains on the right is 3x and the ft of the equal sign is 61.
Finally, you divide 61 by three to get the x by itself, and get your answer.
an american football team won a sixth of their matches they lost the rest
work out the ratio
matches won: matches lost
Answers
Answer:
1:5
Step-by-step explanation:
Numbr of matches won: 1/6
total number of matches won: 1
total number of matches lost = played matches - matches won
= 6 - 1
= 5
matches won : matches lost
1:5
At the same 20% discount, the discount price of a hat is $15. What is the regular price?
Answers
Answer:
$18
Step-by-step explanation:
20% of 15 is 3 so 3+ 15 = 18
Which polynomial represents the algebra tile configuration shown? x2 3x 4 x2 3x − 4x −x2 − 7 −x2 3x − 4.
Answers
In polynomial equation While addition or subtraction of the polynomials, the terms of the same power should be add or subtract from each other. The polynomial which represent the algebra tile configuration in the given problem is,
[tex]f(x)=4x^2+5x-11[/tex]
Given-The given expression in the problem is,
[tex]f(x)=x^2+3x+ 4x^2+3x -4x -x^2 - 7 -x^2+ 3x - 4[/tex]
Rewrite the equation in the order of the power of x,
[tex]f(x)=x^2+ 4x^2 -x^2+3x+3x -4x+ 3x - 7 - 4[/tex]
Addition subtraction of polynomials
While addition or subtraction of the polynomials, the terms of the same power should be add or subtract from each other.
Add or subtract the same power variable in the above equation. We get,
[tex]f(x)=(x^2+ 4x^2 -x^2)+(3x+3x -4x+ 3x)+( - 7 - 4)[/tex]
[tex]f(x)=(4x^2)+(5x)+( -11)[/tex]
[tex]f(x)=4x^2+5x-11[/tex]
Hence the polynomial which represent the algebra tile configuration in the given problem is,
[tex]f(x)=4x^2+5x-11[/tex]
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Answer:
−x2 + 3x − 4
Step-by-step explanation:
D
Which numerical expression is obtained by substituting x= 2, y= 6,
and z = 3 into the expression shown?
A.
B.
C.
D.
Answers
Answer:
y divided by x
Step-by-step explanation:
z times by y ( do it in calculator
Change 8 to base 2
pls
Answers
Answer:
1000
Step-by-step explanation:
8 = 2³
dcba
In a number written in base 2, the digit a is the units digit, 2^0.
The digit b is the 2's digit, 2^1.
The digit c is the 4's digit, 2².
The digit d is the 8's digit, 2³.
Since 8 = 2³, we need 0 in the units, 2's and 4's digits, and a 1 in the 8's digit.
2 (base 10) = 1000 (base 2)
How do I solve 6^x-2=1/216 ?
Answers
Answer:
x=-1
Step-by-step explanation:
Write the number in exponential form with the base of 6
6^x-2 =6^-3
Since the bases are the same, set the exponents equal
x-2= -3
Move the constant to the right- hand side and change its sign
x= -3+2
Calculate the sum
x= -1
What constant term should be used to complete the square?
x2 - 5x+_____ = 7
Answers
Answer:25/4
x2 - 5x + _____ = 7. Summary: The constant term that should be used to complete the square? x2 - 5x + _____ = 7 is 25/4.
Step-by-step explanation: hope this helps you
Graph f(x)=2x 1 and g(x)=−x 4 on the same coordinate plane. What is the solution to the equation f(x)=g(x) ? Enter your answer in the box. X =.
Answers
We can equate both the functions to evaluate value of x and that will be the solution of [tex]f(x) = g(x)[/tex].
The solution is given as: [tex]x = 1[/tex]
Given that:[tex]f(x) = 2x+ 1[/tex][tex]g(x) = -x + 4[/tex]To find:Solution of the equation [tex]f(x) = g(x)[/tex]
Substituting values of f(x) and g(x) in given equation:[tex]f(x) = g(x)\\2x + 1 = -x + 4\\\\\text{Adding x on both the sides}\\2x + x + 1 = -x + x + 4\\3x + 1 = 4\\\\\text{Subtracting 1 from both the sides}\\3x + 1 - 1 = 4 - 1\\3x = 3\\\\\text{Dividing both the sides by 3}\\\dfrac{3x}{3} = \dfrac{3}{3}\\\\x = 1[/tex]
Thus, the solution of given equation is given as [tex]x = 1[/tex].
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A study shows a positive association between cancer and number of cups of coffee
consumed each day. Does that mean that reducing the amount of coffee you drink will reduce
your chances of getting cancer? Explain.
Answers
Answer:
yes
Step-by-step explanation:
drinking less Coffey each day will lower the chance since there is a positive association between the two
What value could you write in after 3x that would make the equation true for all values if x
The equation: 3x + 8 = 3x +
Answer choices:
8
3
5+1
7
Answers
Answer:
8
At least I think that's what you're looking for.
Step-by-step explanation:
I mean cause anything else would make the statement not true. The sides are supposed to have the same value.
What’s the answer to thisss? Anyone ?
Answers
Answer:
it's a bit blurry dear could you type out the answer please thank you love
Koto’s average velocity along her route was 4. 5 m/s. She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west. What was the time of her trip? (There are 60 seconds in 1 minute. ) 18. 5 minutes 20. 4 minutes 2 hours 3 hours.
Answers
The time taken for her trip is 3 hours.
Given thatKoto’s average velocity along her route was 4. 5 m/s.
She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.
We have to determineWhat was the time of her trip?
According to the questionShe started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.
The calculation of such a trip of Koto can be done by applying the known formula of Time when the Speed is multiplied by Distance to compute the actual time of the trip.The formula to calculate the time for her trip is;
[tex]\rm Speed = \dfrac{ Distance}{Time}\\ \\ Time = \dfrac{Distance}{Speed}\\ \\ [/tex]
Using the formula above, the commute in each direction is added as 45000 meters or 45 kilometers.If Koto's average speed is 4.5 meters per second, then she travels roughly 270 meters in one minute.Substitute all the values in the formula;
[tex]\rm\ Time = \dfrac{Distance}{Speed}\\\\ Time = \dfrac{45000}{270}\\ \\ Time =166.7[/tex]
Converting minutes into hours,
[tex]\rm Hours = \dfrac{Minute}{60}\\ \\ Hours = \dfrac{166.7}{60}\\ \\ Hours = 2.77 \\ \\ = 3\ hours[/tex]
Hence, the time taken for her trip is 3 hours.
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What list shows all the factors of 75?
Answers
Answer:
1, 3, 5, 15, 25, 75.Step-by-step explanation:
What list shows all the factors of 75?
1, 3, 5, 15, 25, 75.
(4.2 - 85)
Choose 1 answer:
A
I - (4x85) = 180
-
B
2 + (40 - 85) = 180
4x
© r + 4.1 = 85
с
D
I + (4.2 85) = 90
Answers
Solution:
Here, the total angle measures 90°.So, the two angles will sum up to 90°.Hence, x° + (4x - 85)° = 90°or, x + (4x - 85) = 90Answer:
D. x + (4x - 85) = 90
Hope you could understand.
If you have any query, feel free to ask.
