Given: Point B is the midpoint of segment AC and
segment AC = 12
Prove: Segment AB = 6
Select the reason that best
supports Statement 5 in the given proof.
Whoever answers could u give 5 and 6? They’re beside each other.
given proof.
A. Distributive Property
Statement:
1. AC =12
2. B is the midpoint of AC
3. AB = BC
B. Substitution
Reason:
1. Given
2. Given
3. Definition
of a midpoint
4. Postulate
5.[?]
6.
7. Algebra
8. Division Property
of Equality
C. Division Property of Equality
D. Subtraction Property of Equality
4. AB + BC = AC
5. AB + AB - AC
6. AB + AB = 12
7. 2(AB) = 12
8. AB = 6
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Answers
Answer:
Substitution
Step-by-step explanation:
For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12
What is the midpoint of the segment?It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.
We have:
Point B is the midpoint of segment AC and
Segment AC = 12
Prove: Segment AB = 6
The statement(5):
AB+AB = AC (here BC is substituted by AC)
So the reason is substitution.
The statement(6):
AB + AB = 12 (here AC is substituted by 12)
So the reason is a substitute.
Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12
Learn more about the midpoint here:
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Related Questions
what is the soultion 3-6x = 9-6x
Answers
Answer:
x=-6
Step-by-step explanation:
3-9= -6x+6x
x=-6
ans=-6
Please help with this, will give brainliest.
Answers
Explanation:
The negative exponent means we apply the reciprocal to get the exponent to be positive.
The rule is (a/b)^(-c) = (b/a)^c
That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.
Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.
Answer:
B
Step-by-step explanation:
1/1 ÷ (1/4)³ = 1 x 4³ = 64
DUE VERY SOON. PLEASE ANSWER FAST
Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answers
Answer:
They help know which decision is best and help you realize. It help expirement as well. For example you are trying to see what happens after making a decision. Decisions are also well known to making good and correct choices.
Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft
Answers
Answer:
195 answer.plus minus plus minus plus minus
A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?
Answers
We are gonna use x to represent this number.
x/100 * 20 = 4
Solve for x
Therefore x = 20cm
Now that we found x the side of the larger square we are gonna find the area which is side^2.
20 * 20
Therefore the area of the larger square is 400cm^2
I Need Help I Don't Understand This
Finding a final amount in a word problem on exponential growth or decay
A certain forest covers an area of ^2. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answers
Based on the labels in the diahram of the human eye,the reader can conclude that
Answers
The total cost of a gym membership, C, in Australian dollars (AUD), in John's Gym can be modelled by the function C = 65t+30, where t is the time in months. Calculate the gym membership cost over 12 month duration
Answers
Answer:
810 AUD
Step-by-step explanation:
t is time in months: you have to substitute with the number of months given from the question.
C=65t + 30 ==> substitute t with 12 since the question provided you the number of months.
--> C = 65(12) + 30 = 780 + 30 = 810
Find the arc length of the semicircle
Answers
Answer:
Arc length of the semicircle is 12.57 cm.
Step-by-step explanation:
From the given picture,
Measure of diameter = 8 units
Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 units
Since, circumference of a semicircle is given by the expression,
C = πr
Here, r = radius of the semicircle
Circumference of the given semicircle = π(4)
= 4π
= 12.57 cm
Therefore, arc length of the semicircle is 12.57 cm.
Answer:
Its 16 pi
Step-by-step explanation:
A bag contains 2 green marbles and 5 red marbles. Two marbles are drawn at random as follows; one marble is drawn and not replaced. then the second marble is drawn.
What is the probability that the first marble is red and the second one is green
Answers
Answer:
.8
Step-by-step explanation:
1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answers
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
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Camille goes to sleep at 8:30 pm and wakes up at 6:00 am. How long does Camille sleep?
Answers
Answer:
9. 5 Hours
Step-by-step explanation:
8:30 AM to 12:00 PM = 3.5 hours
12:00 PM to 6:00 PM = 6 hours
Total = 6 + 3.5 = 9.5 hours
Hope this answer helps you :)
Have a great day
Mark Brainliest
Which symbol correctly compares the two angle measures?
radians
60°
A. =
B. <
C. >
Answers
Answer:
Is B
Step-by-step explanation:
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answers
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
(Mr. Garduño got the dartboard pictured below for
Christmas. It is a regulation size dartboard with a
diameter of 18 inches. It is divided into 20 sectors
(slices). What is the length of the outside arc in each
sector?
Answers
Answer:
fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is
please help (Determine the slope of the line. Show the work you did to find the slope.)
10 POINTS!
Answers
Answer:
slope of line is 3/5
Step-by-step explanation:
slope is the ratio of the change in the y-values over the change in the x-values
in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5
if you go from pt B to pt C, you rise by 6 and go to the right by 10
however, 6/10 can be reduced to 3/5
if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)
change in y-values is 5-2 or 3
change in x-values is 5-0 or 5
(5-2)/(5-0) = 3/5
pls help! its due today i would mark u brainliest! but pls it's an emergency do both problems!
Answers
Answer:
Step-by-step explanation:
The coordinate is (x,-y)
Can someone please help me out with this? *with full explanation
no bots please, thank you!!
Answers
Answer:
Well if perminder = 52ft that means x=5b8
Step-by-step explanation:
Ahmad works 6 days daily 9:00am to 5:00pm at a local bank at a rate of $30 per hour.How much he earns daily from its job
Answers
Answer: $240
Step-by-step explanation:
Given
Ahmad earns 6 days daily from 9 am to 5 Pm at a rate of $30 per hour
The total no of hours he worked on a single day is 8 hours
So, the amount he earns on daily basis is
[tex]\Rightarrow 8\times 30\\\Rightarrow \$240[/tex]
answer pls with a detailed explanation
Answers
Answer:
SA = 225 cm²
Step-by-step explanation:
The given pyramid dimensions are;
The length of the rectangular base of the pyramid, l = 12 cm
The width of the base, w = 6 cm
The area of the rectangular base, Aₐ = 12 cm × 6 cm = 72 cm²
The height of one of the triangles forming the side of the pyramid, h₁ = 8 cm
The base length of the above triangle, b₁ = 12 cm
The area of the above triangle, A₁ = (1/2)×12 cm × 8 cm = 48 cm²
The height of the other of the triangles forming the other side of the pyramid, h₂ = 9.5 cm
The base length of the above triangle, b₂ = 6 cm
The area of the above triangle, A = (1/2) × 9.5 cm × 6 cm = 28.5 cm²
The surface area of the pyramid, SA = Aₐ + 2 × A₁ + 2 × A₂
Therefore;
SA = 72 cm² + 2 × 48 cm² + 2 × 28.5 cm² = 225 cm²
SA = 225 cm²
whats the correct equation to solve for x
Answers
Answer:
12x - 29 + 4x + 1 = 180
Step-by-step explanation:
(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then
12x - 29 + 4x + 1 = 180 ← is the equation to solve for x
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13
pleaseee hellpp me!!
explain your thinking.
Answers
Answer:
Sometimes
Step-by-step explanation:
Only when x=2 then the output would be 0 for both
129,454,475,954 Which digit is in the hundred-thousands place?
Answers
Answer
129,454,475,954
Step-by-step explanation:
it is the four in bold
Answer:
4 is in the hundred-thousands place.
Explanation:
129,454,475,954
(the one that I bolded and underlined out)
At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy
Answers
Answer:
[tex]y = 25 + x[/tex] --- Members
[tex]y = 1.05x[/tex] --- Non-members
Step-by-step explanation:
Given
[tex]x \to store\ price[/tex]
[tex]y\to total\ amount[/tex]
Members
[tex]Membership =\$25[/tex]
Non-members
[tex]Rate = 5\%[/tex] increase
For the members, the equation is:
[tex]y = Membership + Store\ price[/tex]
[tex]y = 25 + x[/tex]
For non-members, the equation is:
[tex]y = Store\ price * (1 + Rate)[/tex]
[tex]y = x * (1 + 5\%)[/tex]
[tex]y = x * (1.05)[/tex]
[tex]y = 1.05x[/tex]
FG intersects HI at point E. What is the value of x, in degrees?
Answers
Answer:
6x-36=120
6x=120+36
6x=156
x=26
Answer:
X is equal to 26
Step-by-step explanation:
this is becasue 6x-36 is equal to 120 there for you can move the 36 over to make 156 so now you have 6x=156 now you just divide by 6 leaving you with x=26
hope this helps
The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.
Answers
ArmyCee:)
Answer:
The two number are 9 and 13
Step-by-step explanation:
9-4=5
9+4=13 and 13*13is 169
The function h is defined by
h(x)=x²-2.
Find h(2z)
Answers
Answer:
[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]
if the simple interest eamed on $8000 for 9 years is $2,160. Then what is the interest rate?
Answers
Answer:
3%
Step-by-step explanation:
2160/9 years =240/year
240/8000=3%
A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters
Answers
Answer:
16m
Step-by-step explanation:
Given data
Width = 3m
Lenght = 2+3= 5m
We know that the expression for perimeter is
P= 2L+2W
Substitute
P= 2*5+ 2*3
P= 10+6
P= 16 m
Hence the perimeter is 16m
PLEASE HELP
7) What are examples of a polyhedron? Check ALL that apply. *
cylinders
triangular prisms
spheres
rectangular prisms
square prisms
cubes
cones
Answers
Triangular prisms
Rectangular prisms
Square prisms
Square prisms