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
Find the value of d, the length of the diagonal across the square. If
necessary, round your answer to 2 decimal places.
20 points pls help!
Answers
Answer:
28.28
Step-by-step explanation:
The diagonal of a square is [tex]\sqrt{2}[/tex] times the length of a side of the square.
So the diagonal of your square is 20[tex]\sqrt{2}[/tex] = 28.28
Hi I need help please.
If a rectangular model of a building with dimensions of 5x3x10 represents an actual building with a scale factor of 12, what are the dimensions of the actual building?
Answers
Answer:
60x36x120
Step-by-step explanation:
Because the scale factor is 1:12, you multiply the dimension of the building by 12.
If 44% of the students in a certain collage are female and there are 2640 female students what is the total number of students in the total students
Answers
Answer:Total number of students=6000 students
Step-by-step explanation:
Number of female students =2640
Percentage of female students=44%
But
Percentage of female students x Total number of students =Number of female students
Therefore
Total number of students=Number of female students / Percentage of female students
Total number of students=2640/44% =6000 students
solve the compound inequality
Answers
Answer:
Given inequality:
-5r + 7 ≥ -7 - 6r ≥ 4r + 3Solve in parts:
-5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14 -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1Combine into one:
-14 ≤ r ≤ -1or
r = [-14, -1]pls help me pls (this needs to be 20 characters so ignore this part)
Answers
Step-by-step explanation:
...............................
Find the measure of angle B
Answers
Answer:
64°
Step-by-step explanation:
Angles in a straight line add up to 180° so 180° - 116° = 64°
PLEASE ANSWER THIS!!
Answers
Answer:
161ft^2 is answer
Step-by-step explanation:
area of rectangle = l ×b
=7ft ×23ft
=161ft^2
Jailyn has ½ of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will Jailyn and her 3 friends each receive?
Answers
Answer:
Jailyn and her 3 friends will each receive 1/8 of the original pizza.
Step-by-step explanation:
Given that Jailyn has ½ of a pizza left over and she is sharing that with 3 friends, it means that the left over will be divided in 4 pieces and you have to divide 1/2 by 4 to find the fraction of the original pizza that Jailyn and her 3 friends will each receive:
[tex]\frac{1}{2}[/tex]÷4= [tex]\frac{1}{2}[/tex]÷[tex]\frac{4}{1}[/tex] = [tex]\frac{1*1}{2*4}[/tex] = [tex]\frac{1}{8}[/tex]
According to this, the answer is that Jailyn and her 3 friends will each receive 1/8 of the original pizza.
Complete the equations below. please only if you know
Answers
Answer:
153, 51, 5.1
Step-by-step explanation:
15.3÷3= 153 tenths÷315.3÷3=51 tenths15.3÷3=5.1how do i answer questions like these
Answers
Answer:
Well like what? It could be anything, but what do you mean "like these"
Step-by-step explanation:
please help
y=-4x-23
y=-2x-8
Answers
Answer:
x=-15/2 and y=7
Step-by-step explanation:
y=-4x-23
y=-2x-8
Two methods, substitution and elimination. Elimination is the easiest, so you can subtract the equations.
y=-4x-23
-(y=-2x-8)
----------------------
y=-4x-23
-y=2x+8
------------ so solve :)
0=-2x-15
becomes 2x=-15
so x=-15/2
------------------------ plug in x to solve for y
and you get y=7
what is the answer to this?
Answers
Answer:
5 inches
Step-by-step explanation:
Since the length irl is 60 yards you should divide 60 by 3.
60/3=20
Then convert 1/4 to a decimal.
1/4=0.25
Finally multiply 20 and 0.25 to get the length of the park on the map.
20x0.25=5
your answer is Option F 5 inches
Ashraf paid$4 for a package of 8 candy bars. Ronnie paid $5.40 for a package of 12 candy bars. Based on these rates, which statement is true? * 4 points A Ronnie paid $.40 more per bar than Ashraf B Ashraf paid $.05 more per bar than Ronnie C Ashraf paid $.50 more per bar than Ronnie D They paid the same amount per bar
Answers
Answer: its B
Step-by-step explanation:
You started hiking at 31.3 feet below sea level. At the end of your hike, you were at 56.2 feet above sea level. How many feet did you climb?
Answers
Answer:
24.9
Step-by-step explanation:
56.2-31.3=24.9
A rectangular prism has a width of 8inches a length of 15inches and a height of 6inches what is the volume ofprism
Answers
Answer: 720 inches
Step-by-step explanation:
To find volume of a rectangular prism, we need to multiply L x W x H , so we would do-
15 x 8 x 6 and get 720in
Answer: Fre.e points :^
Step-by-step explanation: Ty *bows* u-u
Who was in paris??????
Answers
Answer:
spongebob
Step-by-step explanation:
Answer:
i was in paris 3 years ago : )
Three corners of a rectangular dog park are located at the following coordinates: (–2, –1), (–2, 3), and (5, 3).
What is the total length of the fencing that is needed to go AROUND the dog park?
Answers
Answer:
22 units
Step-by-step explanation:
Olivia used colored ribbon for a craft project. She used 1/6 of a yard of green, 1/3of a yard of red, and 1/4 of a yard of yellow. Which ribbon is the longest? *
Answers
Answer: Red ribbon.
Step-by-step explanation:
When it comes to fractions, if all the fractions being compared have the same numerator, the fraction with the smallest denominator is the largest.
In this question, all the fractions have a numerator of 1 so the longest one will be the one with the smallest denominator which is 1/3. The red ribbon is the longest.
Another way is to convert them to percentages:
1/6 * 100% = 16.7%
1/3 * 100% = 33.3%
1/4 * 100% = 25%
Red ribbon is again the largest.
Basim used a trailer to haul dirt. The trailer is in the shape of a rectangular prism. The interior of the trailer has a length of 8 feet, a width of 4 feet, and a height of 2 feet. What is the total number of cubic feet of dirt that the trailer can hold when it is filled so that the dirt is level with the top?
Answers
Answer:
64 cubic feet
Step-by-step explanation:
The Volume of a rectangular prism = Length × Width × Height
Hence,
length = 8 feet
width = 4 feet
height = 2 feet.
Volume of the rectangular prism =
8 feet × 4 feet × 2 feet
= 64 cubic feet
The total number of cubic feet of dirt that the trailer can hold when it is filled so that the dirt is level with the top is 64 cubic feet of dirt
Please help me ... 6a + 2(c - b) when a = 2, b = 1, and c = 9 I know thë answer but I just need an explanation
Answers
Answer:
Step-by-step explanation:
Let the expression representing a situation is,
y = 6a + 2(c - b)
Where, a, b and c are the constants
If a = 2, b = 1 and c = 9
By substituting these values in the expression,
y = 6(2) + 2(9 - 1)
y = 12 + 16
y = 28
Therefore, for all given values of the constants value of y is 28.
The area of a rectangle is 42 m2, and the length is
8 m less than two times the width. Find the
dimensions of the rectangle.
Answers
Answer:
length = 14 m
width = 7 m
Step-by-step explanation:
l = length
w = width
l = 2w - 8
w(2w - 8) = 42
2w² - 8w - 42 = 0
you can factor out a 2 to work with smaller numbers:
w² - 4w - 21 = 0
(w - 7)(w + 3) = 0
w = 7
'w' cannot equal a negative so we discount it as an answer
find length:
l = 2(7) - 8
l = 14 - 8 or 6m
Jackie wants to save at least $16 a week from her paycheck. Which inequality can be used to solve how many weeks until she has saved $200?
Answers
Answer:
n ≥ 12.5 weeks
Step-by-step explanation:
Weekly savings = at least $16
n = number of weeks
At least in inequality means ≥
16n ≥ 200
n ≥ 200/16
n ≥ 12.5 weeks
12.5 weeks until she has saved $200
A team of students is designing a new game to help their class review for a science test. They will make a rolling cube
with a side length of 7 cm as part of the game.
7 cm
How much material will they need to make the rollina cube?
Answers
Answer: volume of the cube is (7 cm)^3= 343 cm^3
Please help me answer
Answers
Answer:
C
explanation:
x = 4/3πr³
cross multiply
3x = 4πr³
cube root both side
³√3x = ³√4πr³
³√3x = ³√4π x r
divide both side by ³√4π
r = ³√3x/4π
x - 3y = 6
2x + 4y = 2
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A) 4
B) -4
C) 2
D) -2
Answers
Shdbe
Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?
Answers
Answer:
[tex]g(x) = (x-6)^2 +3[/tex]
Step-by-step explanation:
Given
[tex]y = (x - 1)^2 + 3[/tex]
Required:
Shift 5 units to the right
f(x) = (x + 2)^2 + 2
The parabola is written as:
[tex]y = a(x-h) ^2 +k[/tex]
Where [tex](h,k)[/tex] is the vertex
Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]
The vertex is:
[tex]Vertex =(1,3)[/tex]
Shift 5 units to the right
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex](1,3) \to (1 + 5,3)[/tex]
[tex](1,3) \to (6,3)[/tex]
The new function is:
[tex]g(x) = a(x-h) ^2 +k[/tex]
[tex]g(x) = (x-6)^2 +3[/tex]
A submarine descends 45 meters on its first dive. It then descends another 40 meters. What integer represents the total descent in meters for the two dives?
Answers
Answer:
85 meters in total
Step-by-step explanation:
The submarine first descended 45 meters and then 40 meters
45+40=85
A candy store makes chocolate bars in large quantities. To make this large amount, a chocolate
maker weighs 6 identical bricks of chocolate plus a 3 pound brick for a recipe that calls for 27
pounds of chocolate.
Answers
answer would be the bricks are each 24 pounds
How can you tell which tape diagram you need
Answers
Answer:
i gave you an answer down below
Step-by-step explanation:
:)
A park has a large pond and a small pond as shown.
large pond
small pond
• Each pond is in the shape of a circle.
• The radius of the large pond is 4 times the radius of the small pond.
Based on this information, which of the following statements is TRUE?
O A The area of the large pond is 16 times the area of the small pond.
OB. The area of the large pond is 4 times the area of the small pond.
C. The area of the large pond is 2 times the area of the small pond.
Type here to search
O
RI
Answers
Answer:
A The area of the large pond is 16 times the area of the small pond.
Step-by-step explanation:
Small pond for theradius to
statements.
In this case
•- A : 41T -7 you can I'm using 2.
✓
Large Pond '
A- = ITCH.
2)Z pi . (t)
"
a- it 82 530 Divide
A = 64 IT we are looking
for " how many
times
larger.
"