The two-column proof that proves that ∠O ≅ ∠R using the SSS and CPCTC theorems is shown in the image attached below.
What is the Side-side-side Congruence Theorem (SSS)?The side-side-side congruence theorem (SSS) states that when three sides of a triangle are congruent to the corresponding three sides of another triangle, then both triangles are considered congruent to each other.
What is the CPCTC Theorem?The CPCTC theorem states that when two triangles are proven to be congruent by any triangle congruent theorem, then all the corresponding parts of the congruent triangle are congruent. This implies that the corresponding sides and angles of both triangle are equal or congruent.
We are asked to prove that ∠O ≅ ∠R.
With the given image, we would draw segment UP. Thus, based on the reflexive property, UP ≅ UP (one pair of congruent sides).
We are given two pairs of corresponding sides already, which are: UO ≅ UR and PO ≅ PR.
This means that triangles OUP and RUP have three pairs of corresponding congruent sides. Therefore, ΔOUP ≅ ΔRUP.
Applying the CPCTC theorem, ∠O ≅ ∠R.
The two-column proof is attached in the image below.
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On a floor plan drawn at a scale of 1:100, the area of a rectangle room is 30 cm2. what is the actual area of the room?
Ans
A.30,000 cm2
B. 300 m2
C. 3,000 m
D. 30 m2
Select ALL the values that make the inequality true: n>-6
А. -8
B.-5
C.6
D-1
Answer:
The answer to the question is A.-5 D.-1
plantear y resolver:
un señor compró 15 cajas de libro para venderlos en su negocios. si cada caja trae 35 cajas:
a)¿ cuantos libros compro?
b)¿ cuantos gastó si cada caja costó $258 ?
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how do I show the relationship between the input and the output
Answer:
Types of Relationships between the Input and Output
The scatter plot can be a useful tool in understanding the type of relationship that exist between the inputs (X’s) and the outputs (Y’s)
Step-by-step explanation:
1. No Relationship: The scatter plot can give an obvious suggestion if the inputs and outputs on the graph are not related. The points will be scattered throughout the graph with no particular pattern. For no relationship to exist, points have to be completely diffused. If some points are in concentration, then maybe a relationship does exist and our analysis has not been able to uncover it.
2. Linear and Non-Linear: A linear correlation exists when all the points are plotted close together. They form a distinct line. On the other hand points could be close together but they could form a relationship which has curves in it. The nature of the relationship has wide ranging implications.
3. Positive and Negative: A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship.
On the other hand a negative relationship is one where more of one input leads to less of another output. This is also known as an inverse relationship.
4. Strong and Weak: The strength of the correlation is tested by how closely the data fits the shape. For instance if all the points are scattered very close together to form a very visible line then the relationship is strongly linear. On the other hand, if the relationship does not so obviously fit the shape then the relationship is weak.
I don't know if this was exactly what you were looking for; hope it is! :)
Where would the shape be located after a rotation of 90 degrees clockwise about the origin?
Answer:
It should be the first quadrant
Hope that helps!
What is the average rate of change of the function g(x) = 4 from x = 1 to x = 5? Show your work.
9514 1404 393
Answer:
0
Step-by-step explanation:
The average rate of change of function g on the interval [a, b] is ...
m = (g(b) -g(a))/(b -a)
For g(x) = 4, the average rate of change on the interval [1, 5] is ...
m = (g(5) -g(1))/(5 -1) = (4 -4)/(5 -1) = 0/4 = 0
The average rate of change is zero.
__
The function describes a horizontal line, which has a slope of 0 everywhere. Its average rate of change will be 0 on any interval.
Please help me???.....
Answer:
40_ page 302
Step-by-step explanation:
mathematics teacher and she said that to me and happy holidays so we can get the text on
Answer:
im sry
Step-by-step explanation:
Else purchased a prepaid phone card for $15. Long distance calls cost 6 cents a minute using this card. Elsa used her card only once to make a long distance
cal. If the remaining credit on her card is $13.50, how many minutes did her call last?
Answer:
25 minutes
Step-by-step explanation:
First you subtract the original amount on the card from the remaining amount left.
So you can get the amount of money spent on that call.
$15 - $13.50 = $1.50
Then you divide that number by how much it cost per minute.
$1.50 ÷ 6 = 0.25
Then you get your answer!
She was on the phone for 25 minutes
Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 5/6 square foot in 1/2 hour
Answer:
1.67square foot/hr
Step-by-step explanation:
If a fertilizer covers 5/6 square foot in 1/2 hour, then;
5/6 square foot = 1/2 hour
To determine the unit rate, we will say;
x square foot = 1 hr
Divide both expressions
5/6x = 1/2
5 * 2 = 6x
10 = 6x
x = 10/6
x = 1.67square foot/hr
Hence the unit rate is 1.67square foot/hr
how much money would be $0.10 for every dollar of $400.00 be?
Answer:
$40
Step-by-step explanation:
400x0.10=40
Given the linear function of 3x – 7y= 14, determine the ordered pair where the line
crosses the y axis. Remember to write your answer in form (x,y)
Answer:
(0, -2)
Step-by-step explanation:
Crosses the y-axis = find the y-intercept. Substitute x = 0 (if you draw a graph, you can see that the point where y crosses the y axis is always 0 for x) into the equation, and you get 3(0) - 7y = 14. Calculate, you get y = -2. Rewrite in coordinates form.
11. Mr. Egan has 5 more students in his class than Ms. Cyrus.
Together they have 87. How many students does Ms. Cyrus have
in her class?
Answer:
Ms.Cyrus's class has 46 students
Step-by-step explanation:
If there is 877 total then I will take 5 away to get 82, then divide 82/2 and that equals 41, then add 41 to 5 and you get 46, the answer
Answer: 435 or 17.4
Step-by-step explanation:
h(1) = 9
h(2) = 3
h(n) =h(n − 2).h(12 - 1)
h(3) =
Answer:
mariana bedoya sanchez
Answer:
27
Step-by-step explanation:
it was right on khan academy
Pls help I’ll brain lest ASAP
A poll is given, showing 60% are in favor of a new building project.
If 10 people are chosen at random, what is the probability that greater than 7 of them favor the new
building project?
Answer:
+70%
Step-by-step explanation:
as more than 7 people wants the building so the probability is 70%
hope it helps you
please mark me as brainlist
Which scale factor was applied to the first rectangle in the resulting image?
Enter your answer as a decimal in the box
Answer:
0.25 is the correct answer
Step-by-step explanation:
took k-12 test and got 100%
Discussion topic!!!!!!!!
Answer:
I use probability to make a decision in my life when I decide to either go outside or not go outside if it looks like it will rain. The outcome compares with my expectations because sometimes when I think it'll rain, it does, and sometimes it doesn't. This shows probability in my life because there is a chance it will rain and a chance it won't.
12v+4=-64 please include steps
Answer:
17.3
Step-by-step explanation:
Answer:
v=-17/3
Step-by-step explanation:
12v+4=-64
subtracting 4 from both sides we get
12v=-68
dividing by 12 on both sides we get
v=-68/12
simplifying we get
v=-17/3
hope that helps if it does please mark my answer as brainliest
forty percent of N is equal to two hundred forty. how do i write in number?
The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we are specified that:
40% of N = 240
Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get
[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)
Now, solving it further to get value of N:
[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]
Thus, 40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600
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factor 1/8 out of 1/8x-49/8
Answer:
1/8(x - 49)
Step-by-step explanation:
When we factor out something, we are basically finding common factors from multiple terms to take out. Example:
ab + ac; factored out: a(b + c)
If we want to factor out 1/8 from 1/8x - 49/8, we simply divide the two terms by 1/8.
[tex]\frac{1/8}{1/8x}[/tex] The 1/8 cancel out giving us x so:
1/8(x - __)
The next term,
[tex]\frac{49/8}{1/8}[/tex]
When two fractions divide, you flip the bottom one and multiply them both,
[tex]\frac{49}{8} *\frac{8}{1}[/tex]
giving us 49.
The answer is: 1/8(x - 49)
find the value of x. please tell fast plzzzz
Answer:
a) x=60°, 2x=120°
b) x=36°
Step-by-step explanation:
Step-by-step explanation:
In fig. a,
x+2x=180°
3x=180°
x=60°
In fig.b,
36°=× ----because vertically opposite angles are equal
HOPE IT HELPS YOU
Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT
Answer: 6 inches long and 4 inches wide
Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.
hope this helps
In each bag 1/4 pieces of fruit were raisins. 1/2 were bananas. There were 48 slices of dried banana. The remaining pieces of fruit was raspberries. How many pieces of raisins and dried raspberries were there in each bag
In a triangle ABC, angle B and C are 60 each, what is the value of angle A?
Answer:
60
Step-by-step explanation:
because angles in a triangle =180
so if angle b and c are 60 angle a will be
a = 180- 60- 60
angle a =60°
IS THERE ANYONE THAT CAN HELP ME WITH THIS? 40 POINTS AND BRAINLLEST FOR A RIGHT ANSWER PLEASE ANYONE?
Evaluate the expression.
Answer:
33
Step-by-step explanation:
So we substitute the numbers for the variable and we get 24 + 36/4. This 24 + 9 which equals 33. So the answer is 33. I hope this helped!
PLEASE HELP!!! I REALLY NEED SOMEONE TO ANSWER THIS I HAVE ATTACHED A PICTURE
Answer:
2.3 hours, or 2 hours & 18 minutes
Step-by-step explanation:
we are trying to find h when d is 56.68, so I replaced d with 56.68
[tex]56.68=24.6h+0.1\\[/tex]
subtract 0.1 from both sides
[tex]56.58=24.6h[/tex]
divide both sides by 24.6
[tex]2.3=h[/tex]
An album sells for $16.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
A: $13.95
B: $13.82
C:$12.96
D:$14.69
Answer:
rupees 14.69
Step-by-step explanation:
rupees 14.69
I hope this answer correct
Which
pair of triangles can be proven congruent by SAS?
Two triangles that are congruent using SAS.
SAS = Side Angle Side
The two triangles in option B are congruent by SAS.
Option B is the correct answer
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two triangles that are congruent using SAS.
SAS = Side Angle Side
Now,
The two triangles in option B are congruent by SAS.
There are two sides that are equal in each triangle.
There is one angle that is equal in each triangle.
Thus,
The two triangles in option B are congruent by SAS.
Option B is the correct answer
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Karen bought 3 books for $8.95 each and 2 magazines for $1.49 each. How much did she spend in total?
Answer:
Step-by-step explanation:
Karen spent
3*8.95=26.85
2*1.49=2.98
total=26.85+2.98=29.83
Can someone please tell me this equation?
Answer:
for the number of rubas, it keeps on doubling up while on the square number its only going up by 1 every time.
Step-by-step explanation: