Answers
Answer:
a) Translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
Step-by-step explanation:
If we consider ABC figure as a rigid body, then we can translate it to any point in space, keeping the lengths and directions of its elements same. So, to prove congruency of two figures we will try to make them coincident on each other. So, first we translate the figure ABC, along a straight line projected from A to E, such that point A meets Point E. We call this repositioned figure A'B'C' Now, another property of rigid body is that it can rotate as a whole body about any of its internal points.
Since, A' and E are coincident now so, we rotate figure A'B'C', with A' as the center of rotation. This rotation is anti-clockwise and we rotate it until C' coincides with G. Now, both figures are coincident. Hence, their congruency is proven.
Therefore, the correct answer is:
a) Translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
In this exercise, we have to use the knowledge of solid rotation to identify the alternative that best represents what happened in the image, so we have that the best alternative is:
Letter A.
If we consider ABC figure as a rigid body, then we can translate it to any point in space, keeping the lengths and directions of its elements same. So, to prove congruency of two figures, we will try to make them coincident on each other.
First we translate the figure ABC, along a straight line projected from A to E, such that point A meets Point E. Now, another property of a rigid body is that it can rotate as a whole body about any of its internal points.Second we rotate figure A'B'C', with A' as the center of rotation. This rotation is anti-clockwise, and we rotate it until C' coincides with G.Now, both figures are coincident. Hence, their congruency is proven. Therefore, the correct answer is:
The letter A, which means that translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
See more about rotation at brainly.com/question/1571997
Related Questions
If product of two numbers=384HCF=8,2cm=?
Answers
Answer:
96 and 288
Step-by-step explanation:
So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).
Such order independent pairs are (1,7) and (3,5).
Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.
The differences are 6*48=288 and 2*48=96.
We have found difference without finding numbers.
Ans.: 96 and 288
p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)
Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.
Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.
You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?
Answers
Answer:
Shop and save
Step-by-step explanation:
Answer:
You can buy 5 of the same apples at Shop and Save for $2.10.
Step-by-step explanation:
help please !!!!!!!!!!!!!!11
Answers
Answer: 1.9 per year this is the answer
D) 685
Titik koordinat yang manakah berada pada garis lurus Y=X +99
A) (2,13)
B) (4,11)
C) (3,12)
D) (5,10)
Answers
Answer:
A
Step-by-step explanation:
what is the value of x in the figure Pls help
Answers
Answer: x=18
im assuming that this is a right angle
so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.
so x=18
i need help solving for x
Answers
Ask if you didnt get it.
5 + 5 + 5 + 5 + 220+ 30004
Answers
Answer:
30244
Step-by-step explanation:
Find Each Sum.
1) (-1)+(-46)=
2) (-30)+10=
3) (-34)+50=
4) 38+(-5)=
Answers
Answer:
1 is -47.
2 is -20
3 is 16.
4 is 33.
Step-by-step explanation:
Brainiest?
2. -20
3. 16
4. 33
Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot?
A
1
B
2
C
3
D
4
Answers
2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.
(d) Write the equation of the line in point-slope form. Show your work.
(e) Write the equation of the line in slope-intercept form. Show your work.
Answers
Answer:
on the 1st one you have to put points on the line where the square match the best like put points on the line where the squares are rect with the line and then choose 2 of them and make a triangle like; if there is the line you have to jump the squares while until arriving the other point. I hope his help you!:)Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi 2 charges $1.77 per kilometer. Determine how much a 12 mile ride will cost in each taxi. There are 1.61 kilometers in every mile.(1 point) A 12 mile ride in Taxi 1 costs $34.20, and in Taxi 2 it costs $36.00 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $13.19 A 12 mile ride in Taxi 1 costs $34.00, and in Taxi 2 it costs $34.20 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20
Answers
Answer:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Step-by-step explanation:
Given that:
Charges of taxi 1 = $3.00 per mile
Charges of taxi 2 = $1.77 per kilometer
1 mile = 1.61 kilometers
To find:
Cost of a 12 miles ride for taxi 1 and taxi 2.
Solution:
Let us first convert the charges of each taxi to per mile.
Taxi 1 charges are already given in per mile.
Charges for 1 mile = $3
Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36
Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile
Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20
Therefore, the answer is:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
How many students like both Tennis and Soccer but not Surfing
Answers
Answer:
None.
Step-by-step explanation:
Answer: where’s the picture?
Step-by-step explanation:
Please help ASAP 50 pts
Answers
Answer:
Answer is C
Step-by-step explanation:
I learned this in algebra
Answer:
c. If two distinct planes
DUE IN 10 MINS HELP AS SOON AS POSSIBLE ASAP ILL GIVE BRAINLIEST!!
Answers
Answer:
m = -3
Step-by-step explanation:
First, find two clear points:
(1, -2) (0, 1)
Then, use the slope formula:
m = y2 - y1
x2 - x1
m = 1 - (-2)
0 - 1
= 3 = -3
-1
m = -3
This means that the rise-over-run is -3 over 1, or 3 over -1.
Which means three down and 1 to the right, or 3 up and 1 to the left.
Slope is the steepness of the line.
find three solutions for the linear equation 4x-3y=1
Answers
Answer:
one solution for that is 1
Step-by-step explanation:
subtract 4 from both sides, then your left with -3y and -3, then you divide -3 by -3 and you get 1.
I hope that made sense:)
Select the correct answer.
Find the inverse of function f.
f(x) = 1/2x + 7
Answers
Answer:
f'(x)= 2x - 14
Step-by-step explanation:
change f(x) to y y = 1/2x + 7
switch x and y x = 1/2y + 7
multiply everything by 2 to cancel the denominator 2x = y + 14
solve for y 2x - 14 = y
then change y to f'(x) f'(x) = 2x - 14
Answer:
B -- f'(x)= 2x - 14
solve for x: x²/x-3=x+2/2x-5
Answers
Answer:
x=2
Step-by-step explanation:
x2
x
+−3=x+x+−5
Multiply all terms by x and cancel:
x2+−3x=xx+xx+−5x
x2−3x=2x2−5x(Simplify both sides of the equation)
x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)
−x2+2x=0
x(−x+2)=0(Factor left side of equation)
x=0 or −x+2=0(Set factors equal to 0)
x=0 or x=2
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=2(Works in original equation)
Answer:
x=2
140,562 rounded to the nearest thousands
Answers
Answer:
It's 141,000
Step-by-step explanation:
because 4 or lower doesn't raise the rounding up it stay's the same if it is 4 or lower. But 5 or more raises it up so anything five or more you can round up. They taught me that in 4th grade but now i'm in 6th grade wich is so hard.
There are 252 players on 18 teams. How many players are on each team?
Answers
Answer:
14
Step-by-step explanation:
252 divided by 18 = 14
hope this helps! :D
I really need help real quick !
Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram has two pairs of adjacent sides that are congruent.
Answers
The mentioned parallelogram is a rhombus.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
A parallelogram is a square and a rhombus is a square.
However, not all parallelograms are rhombuses, and not all rhombuses are squares.
A parallelogram has two pairs of adjacent sides that are congruent.
The adjacent sides of a parallelogram must be equal, and the angles formed by the four sides must be 90 degrees for a rhombus to be a square.
We are aware that the adjacent sides are equal in the context of the statement, but we are unsure of whether or not the angle formed by the sides is 90 degrees.
Hence, the mentioned parallelogram is a rhombus, which we can state with certainty, but it may or may not be a square.
Learn more about parallelogram here:
brainly.com/question/11220936
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Find the set of solutions for the linear system Use s1, s2, etc. for the free variables if necessary. ,
Answers
Answer and explanation:
Please find attached
Trevor is 8 1/2 inches shorter than his dad. If his dad is 6 1/4 feet tall. How tall is trevor?
Answers
Answer:
66.5 in or 5.5 ft (rounded)
Step-by-step explanation:
Answer:
5 ft 6 1/2 inches
Step-by-step explanation:
6 1/4 ft
1/4 ft is 3 inches
6 ft 3 inches
Subtract 8 1/2 inches
6 ft 3 inches
- 8 1/2 inches
------------------------------
borrow from the ft ( 1 ft = 12 inches)
5 ft 3+12 inches
- 8 1/2 inches
------------------------------
5 ft 15 inches
- 8 1/2 inches
------------------------------
5 ft 6 1/2 inches
what is three blus six equal to
Answers
Answer:
Three plus six: 3 * 6
When we multiply x*y, we are summing x times the same number: y ory times the same number.(x)
In our case, we are summing three times six, so: 6 + 6 + 6 = 18
We could also say we are summing six times three: 3 + 3 + 3 + 3 + 3 + 3 = 18
Nowwe can say that 6 * 3 = 18
I hope this helps!!!!!!!!!!!
4/15 ÷ 10/13 pls help me
Answers
Answer: 26/75
(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)
= (4/15) · (13/10) (Cancel out the common factor of 2)
= (2/15) · (13/5) (Multiply the numerators together and denominators together)
= 26/75
HELP! WILL MARK BRAINLIEST!
Answers
Answer:
The answer to this question is C.
Step-by-step explanation:
All that you have to do is multiply the exponents.
how much is twice the size if im 3 ft 7 in tall
Answers
Answer:
the answer is 7.1 inches tall
Word division problem using 5 as the divisor
Answers
Answer: a divisor is a number by which another number is to be divided.
There are 20 slices of pizza. There are 5 people. How many slices does each person get?
Answer: There were 50 chocolate bars on display at the candy store. All 50 chocolate bars were distributed evenly between 5 children. How many chocolate bars would each child receive?
Parker invests $1000 for 5 years at a simple rate of 10%.
A. How much interest will Parker earn after 5 years?
B. What will be the total amount that Parker will have after 5 years?
Answers
Answer:
SI=PTR/100
= 1000×5×10/100
=$500
Parker will receive $500 as interest.
Amount=$500+$1000
=$1500
Parker will have $1500 altogether.
A die is rolled. The set of equally likely outcomes is (1, 2, 3, 4, 5, 6). Find the probability of getting a 3.
Answers
Answer:
Step-by-step explanation:
1/6
The probability of getting 3 is 1/6.
What is the probability?Probability is defined as the possibility of an event to be happened which is the ratio of no. of favorable outcomes and total no. of outcomes.
Probability of an event = P(E) = No. of favorable outcomes/Total No. of outcomes
Here given that the dice are fair and six-sided is rolled.
Total no. of outcomes by rolling the dice = 6 i.e. {1,2,3,4,5,6}
The event is to get the number 3 by rolling the dice.
The favorable outcome is = {3}
Number of favourable outcomes= 1 i.e. {3}
As the dice is the set of equally likely outcomes.
Probability of getting 3 = P(getting 3)= No. of favorable outcomes/Total No. of outcomes= 1/6
Therefore the probability of getting 3 is 1/6.
Learn more about probability
here: https://brainly.com/question/14192140
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pair of angles is an example of supplementary angles will mark brainest
Answers
Answer:
Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and angle 7 are supplementary angles. Angle 3 and angle 7 are corresponding angles and angle 1 + angle 3 = 180
Answer:
Angle 1 and angle 7Step-by-step explanation:
supplementary angles adds up to 180
angle 1 and angle 7 is an example of supplementary angles.
other options do not apply.