Answers
Answer:
Step-by-step explanation:
∠ACE=∠ BCD (reflexive property )
It is common to both the angles or both the angles represent the same angle.
We have to prove two triangles are similar.
Here we show two angles of different triangles are equal.
Hence similar by AA
Answer:
m<CBD is congruent to m<DBC
Step-by-step explanation:
Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)
Related Questions
The weights of a group of wrestlers is given below. What is the difference between the mean and median weight? {129, 125, 153, 136, 141, 162, 118, 132}
Answers
Answer: 957.5
Step-by-step explanation: The mean is 1096, and the median is 138.5
The difference is 957.5
What is 1/2a-4 on I ready
Answers
If your doing ireadys the answer is 1/2(a-8 but no negative 8 it just original 8
The probability of rain in Nevada is 0.3. If it rains, the probability of the school bus being late is 0.4. If it does not rain, the probability of the school bus being late is 0.15. What is the probability that it will not rain? If it does not rain, the probability of the school bus bring on time is? What is the probability that it will rain and the school bus will be on time?
Answers
Form given information, the probability of rain in Nevada, the probability that it will not rain is 0.7
The probability that if it does not rain, the school bus will be on time is 0.85
The probability that it will rain and the school bus will still be on time is 0.6
In this question, we have been given the probability of rain in Nevada is 0.3
If it rains, the probability of the school bus being late is 0.4
If it does not rain, the probability of the school bus being late is 0.15
We need to find the probability that
a) it will not rain
b) If it does not rain, the school bus bring on time
c) it will rain and the school bus will be on time
The probability that it will not rain in Nevada:
= 1 - probability of rain in Nevada
= 1 - 0.3
= 0.7
The probability that if it does not rain, the school bus will be on time is:
= 1 - probability of the school bus being late if it does not rain
= 1 - 0.15
= 0.85
The probability that it will rain and the school bus will still be on time is:
= 1 - probability of the school bus being late if it rains
= 1 - 0.4
= 0.6
Therefore, the probability of rain in Nevada, the probability that it will not rain is 0.7
The probability that if it does not rain, the school bus will be on time is 0.85
The probability that it will rain and the school bus will still be on time is 0.6
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Point Q is between Points A and B on AB, which definition, property, or postulate would justify the equation: AQ + QB = AB
Answers
questions 32 and 33 please
Answers
Answer:
32. AX = BY
33. 3(p - 3q)
Step-by-step explanation:
distribution means multiply through out, the factored value of 3 should should take you back to the original question. 3×p =3p and 3×-3q=-6q
Give the first four terms of the arithmetic sequence
for which a₁ = 12 and d = -2.
A 12, 10, 8, 6
B 12, -24, 48, -96
C 12, 14, 16, 18
D 10, 8, 6, 4
Answers
An arithmetic sequence is a sequence of numbers which will have a constant common difference throughout the sequence.
The first term of the sequence is given as a₁ = 12 and
The common difference of the sequence is given as d = -2
We need to find the first four terms of the arithmetic sequence
So, the formula to find the first four terms of an arithmetic sequence is
a, a+d , a+2d, a +3d...
where a = 12
d = -2
Then, the arithmetic sequence of the first four-term is
= 12,12 + (-2) , 12 + 2(-2) , 12 + 3 (-2)
= 12 , 12-2 , 12 -4 , 12 - 6
= 12 , 10 , 8 , 6
So the arithmetic sequence of the first four-term is
12,10,8,6.
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Needing help pretty bad on this one
If anyone can help that’ll be greatly appreciated
Answers
Answer:
lol
Step-by-step explanation:
0-2-4-3-5
find the change in temperature from -13c to 15 c math question
Answers
Answer:
28 c
Step-by-step explanation:
You want the amount of change from -13c to 15c.
ChangeThe amount of change is found by subtracting the beginning value from the ending value:
(15 c) - (-13 c) = (15 +13) c = 28 c
The temperature changed by 28 c.
Units Sold to Break Even, Unit Variable Cost, Unit Manufacturing Cost, Units to Earn Target Income
Werner Company produces and sells disposable foil baking pans to retailers for $2.25 per pan. The variable cost per pan is as follows:
Direct materials $0.24
Direct labor 0.60
Variable factory overhead 0.73
Variable selling expense 0.17
Fixed manufacturing cost totals $115,117 per year. Administrative cost (all fixed) totals $15,698.
1. Compute the number of pans that must be sold for Werner to break even.
________ pans
2. Conceptual Connection: What is the unit variable cost? What is the unit variable manufacturing cost? Round your answers to the nearest cent.
Unit variable cost $ ______
Unit variable manufacturing cost $______
3. How many pans must be sold for Werner to earn operating income of $5,049?
______ pans
4. How much sales revenue must Werner have to earn operating income of $5,049?
$______
Answers
If Werner Company produces and sells disposable foil baking pans to retailers for $2.25 per pan, and the variable cost per pan are [Direct materials $0.24, Direct labor 0.60, Variable factory overhead 0.73, Variable selling expense 0.17] while, fixed manufacturing cost totals $115,117 per year and Administrative cost (all fixed) totals $15,698, then:
1. 256,000 Pans must be sold for Werner to break even.
2. The unit variable cost is $1.74, and the unit variable manufacturing cost is $1.57.
3. 266400 pans must be sold for Werner to earn an operating income of $5,049.
4. A sales revenue of $599,400 must Werner have to earn operating income of $5,049.
First, we have to calculate the number of pans that must be sold for Werner to break even.
Given, Fixed manufacturing costs $115,117
And, Fixed administrative costs $15698
Therefore, Total fixed costs $[tex](115,117+15,698)=130,815[/tex]
Also given, Selling price per unit $2.25
And, total Variable costs per unit $[tex](0.24+0.60+0.73+0.17)=1.74[/tex]
Contribution margin per unit = $[tex](2.25-1.74)=0.51[/tex]
[Since, contribution margin is the difference of the selling price and the variable costs]
Now, formula to calculate Break-even units goes as
(Total fixed costs / unit contribution margin).
Therefore, Break-even units in our case = [tex]\frac{130,815}{0.51}=256,000[/tex] units.
Secondly, we are required to calculate the unit variable cost and the unit variable manufacturing cost.
The unit variable cost is already calculated to be $1.74.
And, the unit variable manufacturing cost is the sum of all the variable costs excluding the variable selling expense, i.e., [tex](1.74-0.17)=1.57[/tex].
Thirdly, we will have to calculate the number of pans must be sold for Werner to earn an operating income of $5,049.
Already calculated, Total fixed costs are $130,815 and Contribution margin per unit $0.51.
Given, target operating income is $5049.
Now, formula to calculate Desired Units to earn profit goes as
(Total fixed cost + Target operating income)/(Contribution margin),
i.e., in our case, [tex]\frac{130815+5049}{0.51} = \frac{135864}{0.51}=266400[/tex] unit pans must be sold for Werner to earn an operating income of $5,049.
Lastly, We need to calculate the sales revenue must Werner have to earn operating income of $5,049.
Since, [Sales revenue = (Desired units * selling price)]
And desired units = 266400, while Selling price per unit, given as $2.25.
Therefore, Sales revenue = [tex](266,400*2.25)=599,400[/tex].
That is, a sales revenue of $599,400 must Werner have to earn operating income of $5,049.
Variable Cost: These are costs that change proportionally to the quantity of the goods or service that a business produces, changes.To learn more about Variable Costs, click on the link below.
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Name
Chalisa
Absolute Value
Practice and Problem Solving: C
Average Deviation from Daily Calorie Standard"
Jorge
-125
Rob
+540
Elan
+610
Pietro
-220
Bill
+125
Standard: An active 12-year-old male should consume
about 2,300 calories a day.
Use the table above to answer the questions.
1. Which number acts like a base or 0 in this situation?.
2. Whose calorie consumption is farthest from the standard?
How many calories does he consume?
3. Who consumes the fewest calories?
How many calories does he consume?
4. Which two students' deviations from the standard are opposites?
5. Who consumes a number of calories closest to the standard?
6. Who consumes almost 3,000 calories?
7. What is the average deviation from the standard among these five
students?
8. What is the average absolute deviation from the standard among these
five students?
Answers
The above table can be rewritten as
Name Calories Consumed
Jorge 2150
Rob 2840
Elan 2910
Pietro 2080
Bill 2425
Calories Consumed are calculated as standard consumption + deviation
1. the number 2300 acts like a base or 0 in this situation
2. Elan's calorie consumption is farthest from the standard and he consume 2910 calories
3. Pietro consumes the fewest calories and he consume 2080
4. Jorge and Bill's deviations from the standard are opposites
5.Jorge and Bill consumes a number of calories closest to the standard
6.Elan consumes almost 3,000 calories
7.The average deviation from the standard among these five
students is (-125 +540 +610-220 +125)/5 =186 calories
8. the average absolute deviation from the standard among these
five students is 2481 [(2150+2840+ 2910+ 2080+2425)/5]
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MTH 102 Intermediate Algebra
Two times a number added to another number is 25. Three times the first
number minus the other number is 20. Find the two numbers. (remember to
check your answer).
Let x = the first number and y = the second number
Answers
Answer:
mth 102 intermediate algebra 2 times a number added to another number is 25 3 times the first number minus the other number is 25 the two numbers that two numbers of 88 and 72
Answer:
here is my answersssssssssss...enjoy
7th- Grade question
8. A bottle contained 3 7/12 cups of juice. Then Mark drank 1 1/6 cups of the
juice. How much juice was left in the bottle?
A. 2 1/12 cups
B. 2 1/6 cups
C. 2 5/12 cups
D. 2 5/6 cups
Answers
Answer:
C
Step-by-step explanation:
3 7/12 - 1 1/6
1. Change 1 1/6 into the same denominator as 3 7/12.
3 7/12 - 1 2/12
2. Subtract whole numbers.
3 - 1 = 2
3. Subtract the fractions.
7/12 - 2/12 = 5/12
4. Answer is 2 5/12 (C).
hope this helps :)
the amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9%
Answers
The amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9% i
Calculating the amountThe formula for calculating amount is expressed as:
Amount = Principal + Interest
Determine the interest
Interest = 500*0.09 * 10
Interest = 5 * 90
Interest = $450
Principal= $500 - $450
Principal = $50
Hence the amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9% is $50
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Chloe has 500 marbles.
24% of them are red.
How many red marbles does she have?
Answers
Answer: 120
Step-by-step explanation: Since the equation is asking for 24% percent of 500 we will have to solve by putting them both as fractions. 24 percent automatically means the denominator will be 100 so we have 24/100. 500 is the denominator since that's the base number we are trying to solve for 24% of 500. So we put x over 500. The equation will be:
24/100 x/500
We multiply diagonally so 24*500=12000.
We then divide 500 by 100 which equals 120.
The reason why we didn't multiply 100 and x is because we are trying to solve for x so we had to simplify each side until we got what x was equal to.
Answer:
She has 120 Red Marbles
Step-by-step explanation:
1% of 500= 5 so you can do 5x24 which would be 120.
I hope it helps you!
~XxBellsAloneXx~
1. Explain, in detail, the differences between a line, a line segment, and a ray. In your own words
Answers
Answer:
A line is connected set of points that extends forever in both directions.
A line segment is a part of line with two end points.
A ray is a part of straight line that extends only in one direction from a fixed point.
f(x) = 5x³ + 2x² - 7x +4
g(x) = 3x - 7
Find (f + g)(x).
A. (f+g)(x) = 5x³ + 2x² - 4x + 3
B. (f+g)(x) = 5x³ + 2x² - 10x - 3
C. (f+g)(x) = 5x³ + 2x² - 4x - 3
D. (f+g)(x) = 5x³ + 2x² - 10x + 3
Answers
Answer:
Choice C
5x³ + 2x² - 4x - 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
So simply add the two terms together
5x³ + 2x² - 7x + 4
+ 3x - 7
--------------------------
5x³ + 2x² - 4x - 3
5. What is the domain of the function y = 3x - 4 when the range is (-7, 2, 8, 14}?
A.
{-1, 0, 1, 2}
Y = 3x-4
B.
{-1, 2, 4, 6}
C. {-25, -29, -33, -37}
D. (17, 21, 25, 29}
4413
Answers
the domain will be D = { - 1 , 2 , 4 , 6 } for the function y = 3 x - 4.
We are given a function:
y = 3 x - 4
Now we are also given the range as:
R = { -7 , 2 , 8 , 14 }
For y = - 7, we get the value of x as:
- 7 = 3 x - 4
3 x = - 7 + 4
3 x = - 3
x = - 3 / 3
x = - 1
For y = - 2, we get the value of x as:
2 = 3 x - 4
3 x = 2 + 4
3 x = 6
x = 6 / 3
x = 2
For y = 8, we get the value of x as:
8 = 3 x - 4
3 x = 8 + 4
3 x = 12
x = 12 / 3
x = 4
For y = 14, we get the value of x as:
12 = 3 x - 4
3 x = 14 + 4
3 x = 18
x = 18 / 3
x = 6
So, the domain will be:
D = { - 1 , 2 , 4 , 6 }
Therefore, the domain will be D = { - 1 , 2 , 4 , 6 } for the function y = 3 x - 4.
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Find a rational number halfway in between the two numbers 7/9 and 1/4
Answers
Answer: You Can Search In Internet
Step-by-step explanation: There IS All Step By Step Explanation There Thank You!
Find the perimeter of triangle ABC with vertices A(1,-6), B(1,-3), and C(-4,-6). Round to the nearest hundredth if necessary
Answers
The perimeter of triangle ABC is equal to 13.83.
PerimeterThe perimeter of a geometric figure is the sum of its sides. Thus, for a triangle, for example, the perimeter is S1+S2+S3, where S represents the dimension of each side.
Given Data
Coordinates Points: A(1,-6), B(1,-3), and C(-4,-6)TriangleIn this question are given the coordinates of each vertex triangle. Then, you should plot these coordinates A(1,-6), B(1,-3), and C(-4,-6) in a graph. See the attached image.
From the plotted points, it is possible to note that the triangle is a right triangle and its sides are: AB=3 and AC=5. For finding the side BC, it is necessary to apply the Pythagorean Theorem: (hypotenuse)²= (side1)²+(side2)². Thus,
(hypotenuse)²= (side1)²+(side2)²
(BC)²=(AB)²+(AC)²
(BC)²=(3)²+(5)²
(BC)²=9+25
(BC)²=34
BC=[tex]\sqrt{34}[/tex]=5.83
Now, you have all information to calculate the perimeter of the given triangle.
perimeter = AB+AC+BC = 3 +5 +5.83 =8+5.83=13.83
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A coach asked her athletes if they enjoy running. Forty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.
a tree diagram shows athletes branching off into two categories of enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories of enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two sub-categories of enjoys cycling and does not enjoy cycling
What is the total percentage of the athletes who do not enjoy cycling?
50%
24.5%
13.5%
11%
Answers
Using proportions, the total percentage of the athletes who do not enjoy cycling is: 24.5%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, the proportions of people who do not like cycling are:
0.30 of 0.45(do not like to run).0.2 of 0.55(enjoy running).Hence the total proportion is:
0.3 x 0.45 + 0.2 x 0.55 = 0.245.
Multiplying by 100% to convert from proportion to percentage, 24.5% of the athletes who do not enjoy cycling.
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Emily knows that she can drive her car an average of 40 miles while using one gallon of gasoline. How many
gallons of gasoline will she need for at trip of 180 miles?
Answers
Answer:
4.5 gallons of gas
Step-by-step explanation:
180 ÷ 40= 4.5
Answer:
4.5 gallons
Step-by-step explanation:
Proportions:
40 miles ⇒ 1 gallon
180 miles ⇒ D gallons
D = 180miles * 1 gallon / 40 miles
D = 4.5 Gallons
2. You transfer into a college with 60 credits. How long will it take you to graduate if you can only take 8
credits per semester? The number of credits needed to graduate is 128. Write an equation for the
number of credits, C, accumulated as a function of the number of semesters, t, at the college.
Answers
the function as 17 / 2 = C t for the data given.
Credits we have = 60
credits needed to graduate = 128
Credits in 1 semester = 8
Let the number of semesters be t
Number of credits = C
So, we get the function as:
128 = 60 + 8 C t
128 - 60 = 8 C t
68 = 8 C t
17 / 2 = C t
Therefore, we get that, the function as 17 / 2 = C t for the data given.
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Solve the equation for x.
the square root of the quantity x minus 6 end quantity plus 3 equals 10
Answers
Answer:
18
Step-by-step explanation:
u suck at life lololol
Find the measures of the numbered angles in the figure, shown to the right. Name the theorem that justifies each answer.
Measure
m21-110
m22=110
m23-110
m24 110
Justification
angle whose measure is 70° and Linear Pair Theorem
21 and Alternate Interior Angles Converse
angle whose measure is 70° and Vertical Angles Theorem
21 and Corresponding Angles Converse
GEITS
#
70°
Answers
Answer:
interior angle is 70 so go answer my question pls
Find the other endpoint of the segment with a
midpoint of (-6, 4) and endpoint of (4, 8).
Answers
Answer:
(-16, 0)
Step-by-step explanation:
You want the other endpoint of the segment with midpoint (-6, 4) and endpoint (4, 8).
SetupThe midpoint of a line segment has coordinates that are the average of the coordinates of the end points.
M = (A +B)/2 . . . . midpoint M of segment AB
2M = A +B . . . . . multiply by 2
B = 2M -A . . . . . solved for the other end point
B = 2(-6, 4) -(4, 8) . . . . substitute given coordinates
SolutionB = (2(-6) -4, 2(4) -8) = (-16, 0)
The other end point of the segment is (-16, 0).
PLEASE HELP ME WITH THIS QUESTION
Answers
Please help me to solve this problem!
Answers
After plotting the line of the best fit, the estimated values of a and b are
(30,1.15) and the equation is M = 30L ₊ 1.15
Given, the values of L and M are plotted on the graph.
Then the line of best fit is created on the graph.
A line that most accurately depicts the relationship between data points on a scatter plot is called the line of best fit.
When data points appear to be in a straight line, the line of greatest fit is a straight line.
Therefore, we get the point on the line as (30,1.15)
The equation representing the relation:
M = aL + b
(a,b) from the graph is (30,1.15)
substitute the estimated the values,
M = 30L + 1.15
Hence the required values are estimated and plotted on the graph.
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Evaluate 3x+4 for x=3
Answers
Answer: 31
Step-by-step explanation:
27 + 4
=9+4
=13
Hope this helps!
3. A 6-ounce
package of fruit snacks contains 45
pieces. How many
pieces would you expect in a
10-ounce package?
Answers
Answer: 75 pieces
Step-by-step explanation:
The way to answer this question is through simple cross-multiplication.
oz/pieces = 6 oz/45 pieces = 10 oz/x pieces
Cross multiply to get: 6x=450
Simplify: x = 75
Find the perimeter and the area of ABCD with vertices A(3, 5), B(6, 5), C(4, -1), and D(1, -1). Round your answer to the nearest hundredth place, if necessary. Perimeter: Area: units square units
Answers
The perimeter of the shape is determined as 19.91 units and the area is 20.87 sq. units.
What is perimeter?
The perimeter of an object or a shape is the distance around the edge of the shape.
Length of AB = √[(6 - 3)² + (5 - 5)²] = 3 units
Length of AC = √[(4 - 3)² + (-1 - 5)²] = 6.1 units
Length BD = √[(6 - 1)² + (5 - -1)²] = 7.81 units
Length CD = √[(1 - 4)² + (-1 - -1)²] = 3 units
Perimeter of the shape ABCD = 3 units + 6.1 units + 7.81 units + 3 units = 19.91 units.
Area of the shapeThe formula for area of a trapezoid will be used to determine the area of the shape as shown below;
A = ¹/₂(6.1 + 7.81) x 3
A = 20.87 sq. units
Thus, the perimeter of the shape is determined as 19.91 units and the area is 20.87 sq. units.
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