Identify whether or not the following features are represented in the above diagram for each feature that is represented write the name(s) denoted it in the diagram
Answers
The geometric features of objects are the objects features that are constructed by the aid of elements of geometry
The definition of the geometrical features are as follows
A ray is a line having a single starting point and a straight extension, having no end pointA vertex is the meeting point of two or more linesAn angle is formed by two rays that have a common vertexParallel lines are two lines that are always the same distance from each otherParallel planes are two planes that have equal distance from each otherCoplanar points are points on the same planeCollinear points are points on the same lineSegment addition postulate states that segment AC can include a third point B, when AB + BC = ACPerpendicular lines are two lines that intersect at 90°
Based on the above definitions, the values in the table are as follows;
[tex]\begin{array}{lcl} \mathbf{Feature}&& \mathbf{Denoted \ in \ diagram (s)}\\ \\Ray&&\\\\Vertex&&\\\\Angle&&\\\\Parallel \ lines &&\\\\Parallel \ planes &&\\\\Coplanar \ points&&\mathbf{C, \ F, A, N, B}\\\\Collinear \ points&&\mathbf{A, N, B}\\\\Segment \ addition \ postulate&&\mathbf{AN + NB} = AB\\\\Perpendicular \ lines&&\end{array}\right][/tex]
The features in the diagram are;
Coplanar points: C, F, A, N, B
Collinear points: A, N, B
Segment addition postulate: AN + NB = AB
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Related Questions
2 2. Solve. Show your work. Harry can swim 20 laps in a pool in 18 minutes (swimming at a constant speed). How many laps could he swim in 45 minutes? (Swimming with the same speed.)
Answers
Answer:
there will be 50 laps in 45 minutes.
Step-by-step explanation:
Laps in 18 minutes=20
Caculate laps for 1 minute:
Laps in 1 minute=20/18
Now ,calculate laps for 45 minutes:
Laps in 45 minutes=20/18 × 45
= 50
Note: if you have any question about it you can ask.Thanks
a) The bus fare of 8 passengers is Rs 640. If the fare is decreased by Rs 5 per passenger, how many passengers can travel for Rs 900?
Answers
Answer:
THE ANSWER IS 12 because :
640÷8=80
80-5=75
900÷75=12.
Total 12 passenger can travel for, Rs900.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Fare of 8 passengers = Rs640
Therefore, fare of 1 passenger = 640/8 = Rs80
Since, the fare is decreased by Rs5 per passenger,
Therefore, new fare = 80 - 5 = Rs75
The number of passengers that can travel for, Rs900
= 900/75
= 12
Total 12 passenger can travel for, Rs900.
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(solving rates) At a school camp
there is enough
food for 150
students for 5
days. a How long
would the food last
if there were only
100 students? b If
the food ran out
after only 4 days,
how many
students attended
the camp?
Answers
If there was 100 students this would last 750/100 = 7.5 days.
If it ran out after 4 days there were 750/4 = 187 students (187.5 not valid)
(7x2 - 2x - 5)(3x2 + 2x - 3)
Answers
Step-by-step explanation:
I think this answer will be correct
19 of 25 QID: 94600
For the function f(x) = x2 + 4, identify the values of f(0), f(1/2), and f(−1).
0; 19/4; 5
0; 19/4; 3
4; 17/4; 5
4; 17/4; 3
Answers
Answer:
4; 17/4; 5
Step-by-step explanation:
For f(0)
Replace all x to 0:
f(0)=0^2+4
4
For f(1/2)
1/2^2+4
Which is 17/4
For f(-1)
-1^2+4
Which is 5
Hope this helps!
hewo um what is 1804 divided by 12 and has anyone seen my hacker friend.
Answers
Answer:
150.333
Step-by-step explanation:
The three is repeated
if BC = 6x-16 and CD = 4x + 10, then x = ?
Answers
Answer:
13
Step-by-step explanation:
BC and CD are equal, so both equations will equal eachother.
6x - 16 = 4x + 10
+16 +16
------------------------
6x = 4x +26
-4x -4x
------------------------
2x = 26
---- -----
2 2
x = 13
Hope this helped.
name two pairs of congruent angles in the figure. Justify the answer. help please!
Answers
Answer: a. <aib & <bic
Step-by-step explanation: because those two angles are both 45 degrees, meaning they are congruent.
In the given options, there are two pairs of congruent angles in the figure. They are ∠AIB and ∠BIC according to the Equal Complements Theorem. ;∠AIC and ∠BID according to the Right Angles Congruent Theorem. Option a and c is the correct answer.
Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same degree of rotation or the same amount of opening between their sides. Option a and c is the correct answer.
1. ∠AIB and ∠BIC according to the Equal Complements Theorem. The Equal Complements Theorem states that if two angles are complementary to the same angle (or congruent angles), then they are congruent to each other. In the figure, both ∠AIB and ∠BIC are complementary to angle ∠BIC. Therefore, according to the Equal Complements Theorem, ∠AIB and ∠BIC are congruent angles.
2. ∠AIC and ∠BID according to the Right Angles Congruent Theorem. The Right Angles Congruent Theorem states that all right angles are congruent. In the figure, both ∠AIC and ∠BID are right angles. Therefore, according to the Right Angles Congruent Theorem, ∠AIC and ∠BID are congruent angles. Therefore, the correct pairs of congruent angles in the figure are ∠AIB and ∠BIC, as well as ∠AIC and ∠BID.
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What is the value of X?
Answers
Answer:
5 * sqrt(3)
Step-by-step explanation:
The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.
B is on line AC. If AC = 28, AB = x^2+2x, and BC = x, Find the value of x and AB
Answers
X = 4
Step-by-step explanation:
AB + BC = AC
x^2 +2x + x = 28
×^2 + 3× - 28 = 0
Step 1: Factor left side of equation.
(x−4)(x+7)=0
Step 2: Set factors equal to 0.
x−4=0 or x+7=0
x=4 or x=−7
x = 4 is the correct answer because the distance cant be negative
help please!!!!!!!!!!!!!! im bad at math
Answers
Answer:
[tex]thank \: you[/tex]
Answer:
5k 1/2
Step-by-step explanation:
here you go!!!!!!!!!!!!!!
(5x² +7xy+10y²) (5x-7y)
Answers
I dont even know anything about math
The second angle in a triangle is 3 degrees less than twice the first angle. The third angle measures 8 degrees more than twice the first angle. FInd each angle
Answers
man this math sucks i have no idea i need points tho
The first flock contained 5283 birds . The second contained 5 times as many birds the third flock had twice as many birds as the second flock . How many birds were there in all?
Answers
Answer:
84528 birds
Step-by-step explanation:
number of birds in the 2nd flock = 5283 * 5 = 26415
number of birds in the 3rd flock = 26415 * 2 = 52830
total = 5283 + 26415 + 52830 = 84528
HELP DETERMINE THE RANGE OF THE FOLLOWING GRAPH … I WILL MARK BRAINLIEST
Answers
the range is about how low to how high the graph gets. The range is about the y-values used in the graph.
Your graph bottoms out at -6 and tops out at 4, but never gets to 4, because of that open circle.
So the range is -6 ≤ y < 4. Note that we use y for the range.
Interval: [-6,4)
Set-builder: { y | -6 ≤ y ≤ 4 }
Again, be sure to use y in the set-builder.
f(x)= −x^2 + x + 14 Find f(2)
Answers
Answer:
f(2) = 12
Step-by-step explanation:
f(x = −x^2 + x + 14
Plug in:
f(x) = −2^2 + 2 + 14
Solve:
f(x) = −2^2 + 2 + 14
f(x) = -4 + 2 + 14
f(x) = -2 + 14
f(x) = 12
Hope this helped.
Answer:
20
substitute x for 2 in the equation
f(2)= (-2)^2 + 2 + 14
= 4+2+14
= 20
Convert 402.12 to a fraction
Answers
Answer:
40212/100
Step-by-step explanation:
To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
402.12 = 402.12/1 = 4021.2/10 = 40212/100
And finally we have:
402.12 as a fraction equals 40212/100
answer:
[tex]\frac{10053}{25}[/tex]
first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.
you would get [tex]402\frac{3}{25}[/tex]
convert the mixed number to an improper fraction:
25×402+3=10053
and lastly, place your new numerator over the original denominator:
[tex]\frac{10053}{25}[/tex]
Can someone give me the answer.
Answers
Answer:
1 inch
Step-by-step explanation:
Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance
The price of an item is 33.10 You give the cashier two $20 bills. What is the change?
Answers
Answer:
answer) the change is $7.90
6 times the sum of z and 5
Answers
Answer:
5
⋅
(
n
+
1
)
Explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it
n
.
Next let's create the sum of a number and one. This would be:
n
+
1
.
Then to get five times this number we need to multiple this expression by five to get:
5
⋅
(
n
+
1
)
Step-by-step explanation:
A. Tai, Jorge,mike Gwen
B. Gwen, Jorge, mike, tai
C. Tai, mike, Gwen, Jorge
D. Gwen, mike, Jorge, tai
Answers
There are 6 rental cars available for 18 riders, each holding either 2 or 4 riders. how many rental cars hold exactly 2 riders?
Answers
Answer:
Cars for 2 riders are 3
Step-by-step explanation:
I. When total riders is 18
4(3) = 12 => Cars for 4 riders
2(3) = 6 => Cars for 2 riders
Got more question or something to discuss, leave comment below
I need help in geometry
Answers
Answer:
15
Step-by-step explanation:
AC is the entire line segment.
AB and BC together make AC.
⇒ AB + BC = AC
⇒ [tex](2x+2)+(3x+6)=23[/tex]
Open the parentheses
[tex]2x+2+3x+6=23[/tex]
Combine like terms
[tex]5x+8=23\\5x=15\\x=3[/tex]
Therefore, x=3. Plug this into 3x+6 to find BC:
[tex]3x+6\\= 3(3)+6\\=9+6\\=15[/tex]
Therefore, BC is 15.
I hope this helps!
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer.
Answers
[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\longmapsto ^{12}C_3[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]
cancel 9![tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]
[tex]\\ \rm\longmapsto 220[/tex]
A swimming pool is 50 m long and 25 m wide. It is 1.2 m deep at shallow end and 2 m deep at the other end.
Answers
Answer:
the answer is in picture
100 students are interviewed to see which of biology, chemistry or physics they prefer. 29 of the students are girls. 9 of the girls like biology best. 20 of the boys prefer physics. 9 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?
Help would be highly appreciated! <3
Answers
Answer:
42%
first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .
then it is shown that 9 girls like biology and boys ...anon
20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .
to get the boys who like biology u subtract 38 from their total which is 71 to get 33.
33 + 9 = 42
42/100 = 42%
A square section of a kitchen floor is made of
64 square tiles. How many tiles are on each
side of the square section of the kitchen floor?
Answers
What symbol is used to show that two figures are congruent ?
Answers
Answer:
~
=
Step-by-step explanation:
=
Is 2πr (2r+√(h^2+4r^2 ) ) over πr(r+√(h^2+r^2 )) a simplified algebraic ratio?
Answers
Answer : 1+1 = 11
22+22 = 2222
Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week
Answers
For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Your question is not complete, it seems it is missing the following information below;
DVD rentals: 1 2 3
Total DVD points: 3 5 7
The number of points earned is a function of number of DVD rentals.
For the first DVD, the number of points earned;
[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]
3 = 1 + c
3- 1 = c
2 = c
For nth week the total point earned is given as;
[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]
Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
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Here we have a problem with arithmetic sequences.
After a small online search, I've found that:
Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental
And so on.
We will find that the total of points in the n-th week is given by:
Wₙ = 15 + (n - 1)*18
Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...
We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15
For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33
For the third week, the total number of points is: W₃ = (15 + 17 + 19) = 51
Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.
W₂ - W₁ = 33 - 15 = 18
W₃ - W₂ = 51 - 33 = 18
So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.
Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18
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