Answers
The measure of angle m∠CBD is equal to 55°
How to to evaluate for the missing angle m∠CBDWe shall first find the measure of the angle m∠CDB so that we can evaluate for the measure of angle m∠CBD using the sum of interior angles of a triangle theorem as follows:
m∠ADB and m∠CDB are on a straight line and their sum is equal to 180° so;
m∠CBD + 80° = 180° {sum of angles on a straight line}
m∠CDB = 180° - 80° {subtract 80° from both sides}
m∠CDB = 100°
m∠BCD + m∠CDB + m∠CBD = 180° {sum of interior angles of a triangle}
25° + 100° + m∠CBD = 180°
125° + m∠CBD = 180°
m∠CBD = 180° - 125° {subtract 125° from both sides}
m∠CBD = 55°
In conclusion, the measure of angle m∠CBD is equal to 55°.
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Related Questions
A number of major tructural repair completed at the beginning of the current fical year at a cot of $1,000,000 are expected to extend the life of a building 10 year beyond the original etimate. The original cot of the building wa $6,552,000, and it ha been depreciated by the traight-line method for 25 year. Etimated reidual value i negligible and ha been ignored. The related accumulated depreciation account after the depreciation adjutment at the end of the preceding fical year i $4,550,000.
Answers
The total cot of the building (original cot of $6,552,000 le the Accumulated Depreciation of $4,550,000 pre-adjutment) divided by the new life of 35 year equal the annual depreciation amount of $188,514.29. The econd journal entry would therefore debit Building for $5,552,000 ($188,514.29 x 10 year) and credit Accumulated Depreciation for the same amount.
The journal entry to record the tructural repair and the related adjutment i:
Debit: Accumulated Depreciation $1,000,000
Credit: Building $1,000,000
Debit: Building $5,552,000
Credit: Accumulated Depreciation $5,552,000
The first journal entry record the cot of the tructural repair. The $1,000,000 tructural repair cot reduce the value of the building, and therefore the amount debited to Accumulated Depreciation will equal the amount credited to Building.
The econd journal entry adjust the Accumulated Depreciation for the change in the life of the building. Since the life of the building wa extended 10 year, the Accumulated Depreciation need to be reduced by 10 year of depreciation. The total cot of the building (original cot of $6,552,000 le the Accumulated Depreciation of $4,550,000 pre-adjutment) divided by the new life of 35 year equal the annual depreciation amount of $188,514.29. The econd journal entry would therefore debit Building for $5,552,000 ($188,514.29 x 10 year) and credit Accumulated Depreciation for the same amount.
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50 POINTS (and its easy im just kinda dmb)
find the number of possible outcomes
1. A softball player bats six times in a game. Each at-bat results in an out, getting on base or hitting a homerun.
2. A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each s andwich can be ordered with white bread or multi-grain bread. Customers can add any combination of the six available toppings h
Answers
The number of outcomes for each case is given as follows:
1. 729 outcomes.
2. 36 outcomes.
How to obtain the number of outcomes?The number of outcomes for each case is obtained using the Fundamental Counting Theorem, with the multiplication of the number of outcomes for each trial.
For item 1, we have six trials, each with three possible outcomes, hence the total number of outcomes is given as follows:
3^6 = 729.
For item 2, the outcomes are given as follows:
3 types of sandwich.2 types of bread.Six toppings.Hence the number of outcomes is given as follows:
3 x 2 x 6 = 36 outcomes.
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researchers wanted to see which species of lizard (a, b, or c) is most likely to survive a bacterial infection. so they infected a total of 38 lizards and recorded how many survived after 48 hours. of the 15 species b lizards, 40% survived. for those that were species c, one more survived than died. and of the 24 lizards that died, one-third of them were species a. a. create a contingency table to display this data. (3pt) b. what proportion of the lizards in this study were either species b or c? (1pt) c. what is the probability that a species b lizard in this study did not survive? (1pt) d. are survival and being species c independent events for these lizards? justify your answer. (3pt)
Answers
a. The contingency table for the given data is attached file below.
b. The proportion of lizards that were either species A or B is 0.605.
c. The probability that a species C lizard in this study did not survive is 0.4667.
a.
The contingency table for the given data is attached file below.
b.
The proportion of lizards that were either species A or B can be calculated as:
P(A or B) = (15+8)/(15+8+6+9+4)
P(A or B) = 23/38
P(A or B) = 0.605
c.
The probability that a species C lizard in this study did not survive can be calculated as:
P(Not survive| C) = 7/15
= 0.4667
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PLEASE HELP, I NEED THE ACTUAL ANSWER ASAP!
Amelia drinks half a gallon of milk each week. She also drinks six 6-oz cans of apple juice, 1 gal of water, and 52 oz of orange juice. How many ounces of liquids does Amelia average in 1 day?
Answers
The average amount of fluid consumed is 35.7 oz of fluid each day.
What is the amount of the liquid that she takes each day?We have to note that in this case of the question, we have the following information;
Amelia drinks half a gallon of milk each weekAmelia drinks ix 6-oz cans of apple juiceAmelia drinks 1 gal of waterAmelia drinks 52 oz of orange juiceWhen we convert the galloons to oz, we can see that the amounts of the milk and the water are actually 64 oz and 128 oz respectively.
Total fluid consumed in the week = 64 oz + 6 0z + 128 oz + 52 oz
= 250 oz
The average amount of fluid that is consumed per day is; 250 oz/7
= 35.7 oz of fluid each day.
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Perry used the formula V (t) = 24,450(1-0. 13)
to find the value of his car t years after he purchased it.
What does 0. 13 represent?
A the price of the new car
B the time of year the car was purchased
the value of the car after t years
a 13% decrease in value each year
Answers
The expression 0.13 represents a 13% decrease in value each year. Thus, Option D is the correct option.
Perry used the formula V (t) = 24,450(1-0.13)^t to find the value of his car t years after he purchased it.
The expression given above represents an expression of exponential decrease which is given by the formula -
y = a(1 - r)^t
Where,
y = Value after time t
a = Initial value
r = Rate of decrease
t = Time
Comparing both expressions we get,
r = 0.13
This is the rate of decrease in the value of the car.
Converting to Percentage = 0.13 × 100
= 13% decrease.
Hence, the expression 0.13 represents a 13% decrease in value each year. Thus, Option D is the correct option.
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Tim went 8 mile eat and 15 mile north. Jan went 5 mile wet and 12 mile north. How far apart are they? Round your anwer to the nearet tenth. How do we get the anwer to thi
Answers
The distance between Tim and Jan rounded to the nearest tenth is 21.4 miles.
The formula used in this problem is the Pythagorean Theorem. The Pythagorean Theorem states that the square of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides. This can be shown as A2 + B2 = C2.
In this problem, we need to find the hypotenuse, which is the distance between Tim and Jan. To do this, we will use the Pythagorean Theorem. First, we need to find the sum of the squares of the distances traveled by Tim and Jan.
For Tim, the square of 8 miles plus the square of 15 miles equals 289. For Jan, the square of 5 miles plus the square of 12 miles equals 169. Adding these together gives a total of 458. We then take the square root of 458 and get 21.38. This is the answer we are looking for, the distance between Tim and Jan rounded to the nearest tenth is 21.4 miles.
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Consider the following number pattern: -7; 0; 9; 20; ... Show that the general term of this quadratic number pattern is given by T₁ = n² +4n-12. 2.1
Answers
Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12 is verified.
The number pattern = -7,0,9,20
What is the formula for quadratic equation?Let the general term of the given quadratic number pattern is given by
Tn = an²+bn + c
When T = -7; n = 1
⇒ -7 = a(1)² +b (1) +6
⇒ a + b + c=-7 -----------1
At n=2, T₂ = 0
⇒ 0 = a(2)²+b(2)+c
4a+2b+c=0 ---------------2
At n=3, T = 9
⇒ 9 = a(3)²+b(3) +c
⇒ 9a+3b+c= 9 ---------3
Subtracting 3 from 2
⇒-5a-b = -9 --------4
Subtracting 2 from 1
-3a-b = -7 -----------5
Subtracting 5 from 4
2a = 2
⇒ a=1
Using eq 5, we get
-3(1) - b = -7
-b = -7 + 3
b = 4
From eq 1, a + b + c=-7 we get the value of c,
1 + 4 + c = -7
c = -7 -5
c = -12
substitute the values of a, b, and c in Tn = an²+bn + c
Tn = n² + 4n - 12
Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12.
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Suppose 60% of the graduating class in a certain high school goes to collage if 240 students from this graduating class are going to collage how many student's are in this class
Answers
Total number of students in the graduating class when 60% of the students are going to college is equal to 400 students.
Percent of students of the graduating class going for college is equal to 60%
let 'y' represent the total number of students in the graduating class.
Number of students of the graduating class going to the college are 240.
60% of y = 240
⇒ ( 60 / 100 ) × y = 240
⇒ y = 240 × ( 100 / 60 )
⇒ y = 400 students.
Therefore, when 240 students of the graduating class going for a college then total number of students in the graduating class is equal to 400 students.
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a pitcher won 75%of the games she pitched. she pitched 60 games. how many games did she win
Answers
= 75
75 ___ × 60
75 ___ × 60 100
75 ___ × 60 100= 3
75 ___ × 60 100= 3 ___ × 60
75 ___ × 60 100= 3 ___ × 60
75 ___ × 60 100= 3 ___ × 60 4
75 ___ × 60 100= 3 ___ × 60 4= 45
Please Solve 7x-3y=-5?
Answers
Step-by-step explanation:
there should be two question like this
What is 223,692 divided by 42 using the standard algorithm and showing work?
Answers
The value of 223,692 divided by 42 using the standard algorithm and showing work is 5326.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
The value of 223,692 divided by 42 using the standard algorithm and showing work is given below:
Dividing the two values by 2, a common factor
223,692 / 42
= 111,846 / 21
Dividing the two values by 3, a common factor
111,846 / 21
= 37282 / 7
Dividing the two values by 7, a common factor
37282 / 7
= 5326 / 1
Hence, the value of the division is 5326.
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a board has a red space, a blue space, and a yellow space. a checker is situated on the red space. on each move the checker is transferred to one of the other two spaces. in how many ways can one make a series of 11 moves which result in the checker returning to the red space?
Answers
There are 2 ways to make a series of 11 moves.
Since the checker can move to either the blue or yellow space in each move, there are 2 possibilities for each move. We want to find the number of sequences of 11 moves that result in the checker returning to the red space, i.e., a sequence of moves that alternates between the red and one of the other two spaces.
There are 2 possible sequences of 11 moves: RBYB...BYBR and BYBY...YBRB, where R represents the red space, B represents the blue space, and Y represents the yellow space.
So, in total there are 2 ways to make a series of 11 moves which result in the checker returning to the red space.
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Lauren and her sister are buying their mom a
watch for her birthday. The price of the watch is
$50, but Lauren has a 25% off coupon on
watches and her sister has a $5 store credit.
Which one should they use first to get the best
discount? Explain why.
Answers
The sisters should use the store credit first because if the store credit is used first and then the discount the cost is lower.
Which option should the sisters use first?Consumers always want to pay the least price possible for a good or service. The option the sisters would choose is the cheaper option.
Cost of the watch if the coupon is used first = price of the watch x (1 - coupon)
= $50 x (1 - 25%/100)
= $50 x (1 - 0.25)
= $37.50
Cost of watch after the store credit = $37.50 - $5 = $32.50
Cost of the watch if the store credit is used = cost of the watch - store credit
$50 - $5 = $45
Cost of the watch after the coupon = (1 - 25/100) x $45
(1 - 0.25) x $45
0.75 x $45 = $33.75
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HELP!!!!!!
50 POINTS
Answers
Answer:
see explanation
Step-by-step explanation:
1
20% of 35
= [tex]\frac{20}{100}[/tex] × 35
= 0.2 × 35
= 7
(2)
60% of 70
= [tex]\frac{60}{100}[/tex] × 70
= 0.6 × 70
= 42
(3)
45% of 80
= [tex]\frac{45}{100}[/tex] × 80
= 0.45 × 80
= 36
Answer:
busy work lol. its = not smart
Step-by-step explanation:
Brad is standing on a hill which places him at the same height as a nearby flagpole.
The flagpole is 15 ft. High and Brad is 20 ft. Horizontally from the top of the pole.
Brad can see the bottom of the flag pole.
What is the length in feet of Brad's "line of sight" to the base of the flagpole?
Answers
As per the Pythagoras theorem the length in feet of Brad's "line of sight" to the base of the flagpole 25 feet².
In math the term called Pythagoras theorem is states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
The standard form of the Pythagoras theorem is written with the help of the triangle ABC as,
=> AC² = AB² + BC²
where AC refers the hypotenuse and AB and BC refers the sides of the triangle.
Here we know that it follows from the task content that the length in feet of Brad's line of sight to the base of the flag pole is to be determined.
And here we also know that the flag pole in discuss is said to be 15 feet high.
And here we have also identified that Brad is at the same height as the pole and is at a horizontal distance of 20 feet from the top of the pole.
Then the length is calculated as,
=> l² = 15² + 20²
=> l² = 225 + 400
=> l² = 625
=> l = 25.
Hence the length of the line of sight is 25 feet.
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is 1+4(3x-10)-12x equivalent to - 39? explain
Answers
Answer:
1+4(3x-10)-12x is equivalent to -39 .The order of operations applies here, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).Working from the inside out:4(3x-10) = 43x - 410 = 12x - 40Then we have1 + (12x - 40) - 12x = 1 - 12x + 40 = -12x + 41So the equation 1+4(3x-10)-12x = -12x + 41 = - 39By following the order of operations, we can see that the two expressions are equivalent.
Step-by-step explanation:
1+4(3x-10)-12x is equivalent to -39 .The order of operations applies here, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).Working from the inside out:4(3x-10) = 43x - 410 = 12x - 40Then we have1 + (12x - 40) - 12x = 1 - 12x + 40 = -12x + 41So the equation 1+4(3x-10)-12x = -12x + 41 = - 39By following the order of operations, we can see that the two expressions are equivalent.
explain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.
Answers
The correct option is Option C.
C.) The sequence is a function because each rule produces one output for each input.
Meaning of a sequence:
A grouping of any objects or a collection of numbers in a particular order that follows some rule is known as a sequence.
The difference between all the following terms in the sequence 10..6.11.8.13 is 12.
As a result, the series is an example of a linear function.
As a linear function, the sequence will always provide an output that complies with the rule.
As a result, the sequence is a function because each rule yields a single output for each input; hence, option C is the right response.
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The following question may be like this:
Explain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.
A)The sequence is a function because the domain is unrestricted.
B)The sequence is a function because more than one rule can represent it.
C)The sequence is a function because each rule produces one output for each input.
D)The sequence is a function because each rule produces multiple outputs for each input.
A group of randomly selected Gamin Middle School athletes were asked to pick their favourite sport. Number of athletes Sport Sport Based on the data, what is the most reasonable estimate for the number of Gamin Middle School athletes whose favourite sport is hockey?
Answers
92 is the most reasonable estimate for the number of Gamin Middle School athletes whose favorite sport is hockey.
A reasonable estimate does not exceed the original numbers in a problem.
Reasonableness can be defined as checking to verify that the result of the solution or the calculation of the problem is correct or not, either estimating or plugging in your result to check it
The most reasonable estimate for the number of Gamin Middle School athletes whose favorite sport is hockey.
Estimate= population size x sample proportion.
population size=114
sample proportion=10/45
Estimate=114*10/45
Estimate=92.
Therefore, 92 is the most reasonable estimate for the number of Gamin Middle School athletes whose favorite sport is hockey.
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Prove that circle A with center (1, 1) and radius 4 is similar to circle B with center (–4, –2) and radius 3
Answers
Since they are not the same, they are not the exact same circles. In other words they are similar.
Since the center point does not affect the size of the circle.
Now, According to the question:
Figures can be proven similar if one, or more, similarity transformations
reflections, translations, rotations, dilations can be found that map one
figure onto another.
To prove all circles are similar, a translation and a scale factor from a
dilation will be found to map one circle onto another
Lets solve the problem
Circle A has center (1 , 1) and radius 4
The standard form of the equation of the circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex] , where (h , k) are the coordinates the center
and r is the radius
Equation circle A is [tex](x -1)^2 + (y - 1)^2 = (4)^2[/tex]
Equation circle A is : [tex](x -1)^2 + (y - 1)^2 = 16[/tex]
[tex]x^{2} +1-2x+y^2+1-2y=16\\\\x^2 +y^2-2x-2y+2=16\\\\x^2 +y^2-2x-2y-14=0\\\\x^2+y^2= 14+2x+2y[/tex]
Circle B has center (-4 , -2) and radius 3
Equation circle B is [tex](x - (-4))^2 + (y - (-2))^2 = (3)^2[/tex]
Equation circle B is [tex](x +4)^2 + (y +2)^2 = 9[/tex]
[tex]x^2+16+8x+y^2+4+4y=9\\\\x^{2} +y^2+20+8x+4y=9\\\\x^2+y^2+8x+4y+11=0[/tex]
By comparing between the equations of circle A and circle B
As you can see, if we try to equate the [tex](x^2 + y^2)'s[/tex], the values of them are not the same. Since they are not the same, they are not the exact same circles. In other words they are similar.
You can also compare the radii as well, since the center point does not affect the size of the circle.
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a couple has three children. assuming each child has an equal chance of being a boy or a girl, what is the probability that they have at least one girl? a. .5 b. .125 c. .875 d. 1
Answers
The probability of the couple having at least one girl is 0.875 0r 87.5 % by probability method. So, the option C is correct.
Having at least 1 girl out of 3 children means that there can be 1, 2 or 3 girls out of the 3 children.
So having at lest 1 girl out of 3 children is the same as saying that all 3 children are not boys.
The probability that all 3 children are boys would be
chance that child 1 is a boy * chance that child 2 is a boy * chance that child 3 is a boy = 0.5 * 0.5 * 0.5 = 0.125
since given that there is equal chance of both.
And the probability that NOT all 3 children are boys would be
100% - probability that all 3 children are boys = 1 - 0.125 = 0.875.
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Lorenzo orders 3 pizzas for delivery. The total bill, including a $4.00 delivery fee, is $42.85. He uses the following equation to figure out the cost of each pizza. 3c+4.00=42.85
Answers
Lorenzo uses the following equation to figure out the cost of each pizza. 3c+4.00=42.85
The cost of each pizza is $12.95.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Lorenzo orders 3 pizzas for delivery.
The total bill, including a $4.00 delivery fee, is $42.85.
He uses the following equation to figure out the cost of each pizza. 3c+4.00=42.85
3c = 42.85 - 4
3c = 38.85
c = 12.95
Therefore, the cost of each pizza is $12.95.
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What is the solution for this inequality?
Answers
Answer:
r > -3
Step-by-step explanation:
dwbi jus know that's the answer lil one
-(-8.2w+10) Im confused about this problem can you help me
Answers
Reason:
The negative out front is distributed to each term inside the parenthesis.
This will flip the sign of each term.
The -8.2 flips to +8.2w which is the same as 8.2wThe +10 flips to -10For more information, search out "distributive property".
preciso de ajuda por que eu não sei matemática
Answers
Answer:
¡Hola, soy Za'Riah! Con gusto te ayudaré con este problema. (ver explicación)
Step-by-step explanation:
Resolvamos tu problema usando la división larga.
(See image)
When all team members agree on the level of performance that is acceptable, they have a _____. Clear goal leader shared standard team structure
Answers
When all team members agree on the level of performance that is acceptable, they have a shared standard.
Teamwork is a collective approach in order to achieve a common goal for the growth of the organization. Each member of the team must be agreed on the methods and sources to be implemented in achieving the goal.
In order to achieve the goal, each individual has to work on his area but with the team to achieve the goal of the company. Each individual works together and share their efforts collectively so that the goal can be achieved.
Shared standard refers to the point of acceptance by each individual on a particular point and must agreed on the merging of the work collectively.
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write the equations described below.
a subtraction equation with one variable that has a solution of 2/3.
Answers
Answer: o
Step-by-step explanation:
[tex]\frac{1}{4}b[/tex]+ [tex]\frac{1}{4}[/tex]=[tex]-\frac{1}{2}[/tex]
Solve for bb. Express your answer as a proper or improper fraction in simplest terms.
Answers
The fraction 1/4b + 1/4 = -1/2 is simplified to b = -12/4
What is a fraction?
A fraction can be defined as the part of a whole variable, or number.
The types of fractions are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have that;
1/4b + 1/4 = -1/2
Now, collect iike terms
1/4b = -1/2 - 1/4
find the lowest common denominator
1/4b = -2 -1 /4
Add the numerators
1/4b = -3/4
Now, divide both sides by the coefficient of b
b = -3/4 × 4/1
Multiply the values
b =-12/4
Hence, the value is - 12/4
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1. The expression that represents the mass of an atom is:
a) p+ + n
b) e- + n
c) p+ + e-
d) p+ + e. + n
Answers
It is the a) p+ + n
Step by step explanation:[tex] \large\boxed{ \bold{A=p^{+}+n}}[/tex]
Protons are used since they do not change, otherwise with electrons, of which some elements can give or receive them.
100 POINTS! How many roots does the polynomial equation have?
0=x^3(x+3)(x−1)^2
Answers
Answer: There are none
Step-by-step explanation:
Someone please help! I’ll give Brainliest!!
Answers
Answer:
BAD
Step-by-step explanation:
i think its triangle BAD sorry if its not would make the most sense i think