A right triangle undergoes a sequence of transformations to generate a new
triangle. Which of the following sequences of transformations would result in
the two triangles being similar but not congruent?
Answers
Answer:
Option a.
Step-by-step explanation:
Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.
Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.
Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.
The only sequence that has a dilation is the first one:
a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.
Then option a is the correct one.
Related Questions
270/9 3/4 +40*(15-5)
Answers
Step-by-step explanation:
[tex]270 \div \frac{ {3}^{4} }{9} + 40 \times (15 - 5) \\ = 270 \div \frac{3 \times 3 \times 3 \times 3}{9} + 40 \times (10) \\ = 270 \div \frac{81}{9} + 40 \times 10 \\ = 270 \div 9 + 40 \times 10 \\ = 30 + 400 \\ = 430[/tex]
2. The dimensions of a rectangle can be given by x + 7 and x + 2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?
Answers
Answer:
(x+7)(x+2) = 66
x^2+9x+14=66
x^2 + 9x -52 = 0
(x+13)(x-4) = 0
x = 4 bc the other root, -13, can't be used (it would make the dimensions negative values)
can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
Answers
Step-by-step explanation:
I got you,
a) Work...
First equation: y = 4x + 3
Second equation: y = 2x + 11
If he wants to play 2 games...
y = 4 (2) + 3
y = 11
y = 2 (2) + 11
y = 15
Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.
b) Work...
seven games...
y = 4 (7) + 3
y = 31
y = 2 (7) + 11
y = 25
Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.
I hope this helps :)
Can someone help me out with this?
Answers
B= 4x^2-12x-4
WHY:
You have to simplify the expression. I am in honors geometry trust me it’s right.
MARK ME BRAINLIEST PLEASE
Carlos is tossing a quarter. What is the probability he will toss heads?
Question 9 options:
0.5
0.75
0.85
0.25
Answers
The ratio of cars to trucks in a parking lot was 5:2. The ratio of trucks to bicycles in the parking lot was 1:4. If there were 20 cars in the lot, how many bicycles were in the lot
Answers
Answer:
16 bicycles
Step-by-step explanation:
The function shown the the graph is f(x) =
Options
x^4-2x^2+5x+6
x^3-2x^2-5x+6
x^3-2x^2+5x+6
-x^4-2x^2+5x+6
pls help asap,,
Answers
Answer:
B
Step-by-step explanation:
We will first look at the end behavior of the graph
Is it down then up which means that the degree is 3 and the coeficcent is positive
this leaves B or C
We then know that the x intercepts are (-2,0) (1,0) (3,0)
The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!
looking at the B we have
-2³-2*-2²-5(-2)+6
this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)
You can also factor it and find the zeroes that way, but it's just more work
Plzz help will mark brainliest don't do it for the points plzz!!!!
Answers
Answer: y=2x
Step-by-step explanation:
Answer:
The second choice has the largest rate of change by 3
Step-by-step explanation:
you find the slopes of all of them.
# 1 has a slope of 2
# 2. [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] = [tex]\frac{12 - 6}{3 - 1}[/tex] = [tex]\frac{6}{2}[/tex] = 3
# 3. has a slope of -5
# 4. [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex] = [tex]\frac{2.5 - 3}{1 - 0}[/tex] = [tex]\frac{-0.5}{1}[/tex]= -0.5
Help please thank youuu
Answers
Answer:
48
Step-by-step explanation:
12 cans of Pepsi cost $5.99 Find the unit price of each can. Round your
answer to the nearest hundredth's place.
Answers
0.499
rounded = 0.50
unit price is $0.5 per can
Answer:
0.50
Step-by-step explanation:
Round up £5.99 to £6 (this makes the question easier to solve), then do £6÷12=0.5 (50p)
Each hot chocolate at Cocoa Land costs $3.25. Chris has $36.99 to buy chocolate and to pay for a music album to listen to while he studies math. The music album costs $9.99. Which inequality can be used to determine how many hot chocolates, h, Chris can buy?
Answers
Answer:
Step-by-step explanation:
-10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)
Answers
1) Matthew can run of a mile in of an hour. What is the unit rate?
Answers
1. What units cannot be used to measure weight?
A. ton
O B. inch
O C. pound
D. ounce
Answers
Answer:
B. Inches
Step-by-step explanation:
Because it measures the length of something, Not the weight.
Answer:
C
Step-by-step explanation:
weight in the USA is usually measured in LBS (pounds)
Please qwnser correctly! I will mark you Brainleist
Answers
Answer:
the answer is 484
Step-by-step explanation:
volume of the pyramid = (11×11×12) ÷3 =484
Answer:
the answer would be 385
Step-by-step explanation:
just listen to this because I did this last year.
11 by 11 is 121
11 by 12 is 132
you can multiply by two and get all 4 triangles done and the answer would be 385
2x-y=8
x+2y=4
for the system of equation above, what is the value of x+y?
Answers
Answer:
4
Step-by-step explanation:
2x-y=8 ---> y= 8-2x
substitute y=8-2x into x+2y=4
x + 2(8 - 2x) = 4
x + 16 - 4x = 4
-3x = -12
x = -12/-3
x = 4
substitute x=y into y=8-2x
y = 8 - 2(4)
y = 8 - 8
y = 0
therefore,
x+y= 4+0
4
btw i like ur jimin pfp besty :)
If you add Natalie's age and Fred's age, the result is 41. If you add Fred's age to 3 times Natalie's age, the result is 71. Write and solve a system of equations to find how old Fred and Natalie are.
Answers
Answer:
Fred's age: 26 Natalie's age: 15
Step-by-step explanation:
F + N = 41
-) F + 3N = 71
____________
=> -2N = -30
=> N = 15
F + 15 = 41 => F = 26
Someone help me pls
Answers
Answer:
550 mins
Step-by-step explanation:
Answer:
Step-by-step explanation: can you zoom that picture in cant see it
Some students reported how many pairs of shoes they have. The dot plot shows the data collected: A dot plot is titled Students Pairs of Shoes and labeled Number of Pairs. The values on the horizontal line are 1, 2, 3, 4, and 5. There is 1 dot above 1, 3 dots above 2, 5 dots above 3, 3 dots above 4, and 1 dot above 5. What do the dots above the number 4 indicate? (3 points) a There are exactly 3 students with less than 4 pairs of shoes. b There are exactly 4 students with less than 3 pairs of shoes. c There are exactly 4 students with 3 pairs of shoes. d There are exactly 3 students with 4 pairs of shoes.
Answers
Answer:
There are exactly 3 students with 4 pairs of shoes.
Step-by-step explanation:
Given
[tex]Pairs \to Dots[/tex]
[tex]1 \to 1[/tex]
[tex]2 \to 3[/tex]
[tex]3 \to 5[/tex]
[tex]4 \to 3[/tex]
[tex]5 \to 1[/tex]
Required
What does the 3 on 4 represents?
First, we plot the dot plot.
See attachment for plot
The dots represent the number of student
So 3 dots on 4 means that:
[tex]Students \to 3[/tex]
[tex]Pairs \to 4[/tex]
This implies that there are 3 students have exactly 4 pairs
Answer:
D) There are exactly 3 students with 4 pairs of shoes.
Step-by-step explanation:
It says number of pairs on the bottom which means how many and 1, 2, 3, 4, 5 are the pairs of shoes.
At the top it says Students' pairs of shoes which is the dots and that means how many students have that amount.
Hope I helped!!
What is the weight (in grams) of a liquid that exactly fills a 202.0 milliliter container if the density of the liquid is 0.685 grams/milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.
Answers
Answer
24.5
Step-by-step explanation:
took the test
Answer:
138.37
Step-by-step explanation:
What is m∠1?
DUE TODAY!!
Answers
Answer:32
Step-by-step explanation:add them to 180
Will give brainliest please helppp!!!
Answers
Answer:
9^28
Step-by-step explanation:
It's 9^ 28
remember when we are raising exponents to a power we are multiplying the exponent
Answer:
B
Step-by-step explanation:
When a number to a power of something is multiplied to another exponent, you multiply the exponent values. 7* 4 = 28
The cone has a volume of 72 cubic centimeters and a height of 6 centimeters.
What is the radius of the base of the cone, in centimeters?
Answers
Answer:
r≈3.39cm
Step-by-step explanation:
Using the formula
V=πr2h/3
r=3V
πh=3·72
π·6≈3.38514cm
The population of a certain animal species decreases at a rate of 3% per year. You have counted 80 of the animals in the habitat you are studying. Write a function that models the change in the animal population.
A: f(x) = 80(3)^x
B: f(x) = 80(.03)^x
C: f(x) = 80(.97)^x
D: f(x) = 80(1.03)^x
Answers
Answer:
C. f(x) = 80(.97)^x
Step-by-step explanation:
If the population decreases by 3% each year, then it would be the same as multiplying it by 97% or 0.97 each year.
A baseball teams starting lineup has 3 left handed hitter, 4 right handed hitter, and 2 switch hitters . if there are a total of 81 baseball players in the league , how many player could be expected to NOt be a right handed hitter ?
Answers
Answer: 45 players
Step-by-step explanation:
4+3+2=9 9x9=81 9x2=18. 9x3=27 27+18=45
which expression is equivalent to (x+2)(x+6)?
1.x^2+12x+32
2.2x^2+10x+12
3.2^2+12x+16
x^2+8x+12
Answers
PLZZZZZ HELP ME
Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is an even card and the second card is Queen? 16/663 5/169 06/13 20/663
Answers
Answer:
I would say 16/663 but I still have a suspicion it may be 20/663
Step-by-step explanation:
Answer:
20/633
Step-by-step explanation:
The probability of drawing an even card is the total number of even cards divided by the total number of cards. There are 5 even values (2,4,6,8,10) and 4 of each in the deck. That means there are 20 even cards in a deck of 52 cards. The probability is 20/52.
Next, the probability of drawing a Queen is calculated, but now there are only 51 cards total because you removed the first card. There are 4 Queens in a deck of 51 cards. The probability is 4/51.
Therefore, the probability of these two events is the product of the probability of each: (20/52)(4/51) = 20/663
Help answer correctly or you'll get hack
Answers
2)21
3)-49
4) 39
5)89
Answer:
1 ) - 15
2 ) 21
3 ) 49
4 ) 39
5 ) 89
Step-by-step explanation:
1 )
( - 8 ) + ( - 7 )
= - 8 - 7
= - 15
2 )
( + 12 ) + ( + 9 )
= 12 + 9
= 21
3 )
( - 43 ) + ( - 6 )
= - 43 - 6
= - 49
4 )
( + 23 ) + ( + 16 )
= 23 + 16
= 39
5 )
( + 73 ) + ( + 16 )
= 73 + 16
= 89
What is m∠1? Help me, please
Answers
Answer:
∠1 = 72°
Step-by-step explanation:
exterior ∠ = the sum of two opposite(remote) interior ∠s
∠1 = 37° + 35°
=> ∠1 = 72°
Answer:
72 degrees.
Step-by-step explanation:
Angle 1 is one of the triangle's exterior angles. The exterior angle theorem states that the measure of a triangle's exterior angle is equal to the sum of the opposite interior angles. Therefore, m<1 is equal to the sum of 35 and 37:
35+37=72
m<1 = 72 degrees
I hope this helps!
17 is 12.5% of what number?
Answers
Answer:
Multiply 17 by 100 / 12.5 to get the answer