Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ2
How do i find the value of x?
Subtract the sum of the two angles from 180 degrees.
38- Blank:_____=12c+4+3c
Answer:
38-15c-4
Step-by-step explanation:
38-x=12c+4+3c
38-x=15c+4
x=38-15c-4
Find the slope
(19, -16) (-7, -15
Answer:
Y-Intercept (-3,4) , (19,7). (−3,4) ( - 3 , 4 ) , (19,7) ( 19 , 7 ). Find the value of the slope.
Step-by-step explanation:
Answer please. will give b brainliest for correct answer
Answer:
x = 51.3°
Step-by-step explanation:
Hope this helped!
Rewrite in simplest terms: -8(7y-8)-3(7y-7)
Answer:
−77y+85
I hope I helped!
isabella earned $44.00 for 4 hours of work.How much was earned per hour
Answer:
11$ an Hour because
Step-by-step explanation:
Because 4 divided by 44 = 11.
Evaluate. 4 1/8 – 1 3/4
Answer:
3 2/8
Step-by-step explanation:
4 1/8 - 1 3/4 =
3/4 equals 6/8
4 1/8 - 1 6/8 =
do the math
4 1/8 - 1 6/8 = 3 2/8
hope this helps! Plz give brainlyest!
what is the first step to answer -3=x+5
Answer:
Step-by-step explanation:
-3=x+5
-5. -5
-8=x
Sam put 3000 into saving it earned 6% simple interest annually after 6 years how much will Sam have
Answer:
the future value is 4,080
Step-by-step explanation:
The computation of the future value under the simple interest is shown below:
As we know that
Future value = Present value × (1 + rate of interest × time period)
= 3,000 × (1 + 6 × 6%)
= 3,000 × (1 + 0.36)
= 3,000 × 1.36
= 4,080
Hence, the future value is 4,080
Help due in 5 minutes!!
Answer:
Put 5 in the box on the left side, then on the top, put 2 on the first box, and 3 in the second box, also on top
Step-by-step explanation:
PLEASE HELP WITH THIS QUESTION, ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
35-original drill set price
25% or .25-the additional price
markup in decimal form- 0.25
markup in percent form- 25%
Equation-35 + 25% or 0.25
35 + 25% = 43.75
A black shirt originally costs $23.00, then goes on sale for $17.25. What is the percentage discount?
Answer:
5.75 was te percentage discount hope it help you
Log (x+1)=5
Please help I need to finish this can you please show the steps
6th grade math help me pleaseeee...
Answer:
-3.8
Step-by-step explanation:
u = 3.8
u × -1 = 3.8 × -1
-u = -3.8
90 / 811 = 58 / x
Answer the porportion
Answer:
x = 522.64
Step-by-step explanation:
cross-multiply:
90x = 811(58)
90x = 47,038
x = 47038 / 90
x = 522.64
What is the VARIABLE in the expression 8p - 5?*
Answer:
p is the variable
Step-by-step explanation:
a variable is a letter that represents an unspecified number.
Answer:
p is the variable
Step-by-step explanation:
p is the variable because "p" is the only unknown
hope this helps :) have a nice day !1
[tex] - 4 \leqslant 5x + 1 < 11[/tex]
i don't know how to slove it,please answer it
Mari can walk 2.5 miles in 45 minutes. At this rate, how far can she walk in two and a half hours?
Find the answers please?
Answer:
<1 and <5 by the corresponding angles theorem
Answer:
1. corresponding angles theorem, 2. linear pair postulate, 3. definition of supplementary angles (I am not a %100 sure on number 3 though)
Step-by-step explanation:
Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±[tex]\sqrt{61}[/tex])/2. So, PQ=[tex]\frac{\sqrt{61} }{2}[/tex], PQ²=[tex]\frac{61}{4}[/tex]. Thus, the answer is 61+4=65.
Step-by-step explanation:
The Big Paint “Mix-Up”
Oh no! The painting machine has gone crazy! Can you help figure out how to
complete these batches? Set up a proportion and then solve it.
write as a prop
1. Brick Red is supposed to be 7 parts red to 2 parts light blue. If the machine
already mixed 28 quarts of red, how many quarts of light blue does it need?
2. Burnt Orange is supposed to be 2 parts red to 1 part yellow. If the machine
already mixed 24 quarts of red, how many quarts of yellow does it need?
3. Sunset Yellow is supposed to be 6 parts yellow to 1 part red. If the machine
already mixed 60 pints of yellow, how many pints of red does it need?
4. Sour Apple is supposed to be 4 parts yellow to 2 parts light blue. If the machine
already mixed 12 pints of light blue, how many pints of yellow does it need?
5. Ocean Blue is supposed to be 4 parts light blue to 3 parts yellow. If the machine
already mixed 12 quarts of yellow, how many quarts of light blue does it need?
6. Midnight Navy is supposed to be 6 parts blue to 3 parts red. If the machine
already mixed 18 blue, how many quarts of red does it need?
Answer:
1. 8 quarts of blue
2. 12 quarts of yellow
3. 10 pints of red
4. 24 pints of yellow
5. 16 quarts of light blue
6. 9 quarts of red
The formula for the volume of a cylinder is V= ah, where Vis the volume, r
is the radius, and his the height. Solve the formula for r, and then use it to
answer the question.
A cylindrical bucket contains 452 cubic inches of water. The height of the
water is 4 inches.
What is the radius of the bucket, to the nearest whole number? Use 3.14 for
TT.
A. 8 inches
B. 5 inches
C. 7 inches
D. 6 inches
Answer:
volume=452in³
πr²h=452
r²=452×4/3.14=575.8
r=√575.8=23.99=24in is your answer
An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The diameter of the floor of the observatory is 64 feet, as shown in the diagram. What is the measurement of the circumference of the base of the observatory in feet to the nearest hundredths place?
Answer:
201.14 ft
Step-by-step explanation:
C = 2 π r = π d
C = [tex]\frac{22}{7}[/tex] × 64 ≈ 201.14 ft
Answer:
3215.36
Step-by-step explanation:
C=πr²
C=3.14(32)²
C=3.14(32·32)
C=3.14(1024)
C=3215.36
1) A plane averaged 412 miles per hour on a trip that
lasted 3 3/4 hours. How far did the plane fly?
Please help !
90 POINTS AND A BRAINLIEST!!!!!!
A certain rectangular prism has a height of 6 m, a length of 5 m, and a width of 4 m. Give the dimensions of a SECOND rectangular prism that will have the same surface area of the first one.
Pls dont look up the question and copy and paste the same answer either
if you do i will report you
if anyone is wondering why im so "pressed' I've had LOTS of issues with arrogant people
Thanks!
PLS DON'T ASK FOR BRAINILEST UNLESS YOU TAKE YOUR TIME AND ACTUALLY DO THE QUESTION PLEASE :((((
Answer:
The surface area is 148
Step-by-step explanation:
Soooo i had to look up how to do it cause i completely forgot how. But once i did, i worked it out.
The formula i got was: A= 2(wl+hl+hw)
W= width h= height l= length
From there i just replaced the corresponding numbers for the letters that represent them. (think of that as like you see someone that you think represents you and you try to replace them, with you. Same here just w/ numbers and letters)
A= 2 [ (4x5) + (6x5) + (6x4) ]
from here you do order of operations starting with what's inside the parentheses. Then you work your way out.
A= 2 [20+ 30+ 24]
A= 2 [74]
Anytime a number is next to parentheses or brackets (which are these: [ ] ) you multiply what is outside them by what's inside them. (for this think about kids. When you seperate them, they try to make more noise. When you seperate numbers, they multiply)
Final answer is
A= 148
if this is wrong i am so, so, so sorry. I hope this helps, and i hope you have an amazing day!! Be tiger fierce! :)
A length of 5.3, a width of 7, and a height of 3. This would give you the same surface area of 148 as the 1st one. Good luck with your studies <3
Triangle ABC is reflected over the line y = 1. What are the coordinates of B'? (–2, 3) (–2, 5) (2, –3) (4, –3)
Answer:
(-2,5)
Step-by-step explanation:
From the figure in the attachment it is clear that when point B will be reflected about the line y= -1. The point B becomes (-2,5)
Answer:b-(-2,5)
Step-by-step explanation:
Which set of ordered pairs could represent a function?
(12, –3), (12, 0), (12, 8), (12, 7)
(8, 3), (4, 9), (1, 1), (4, 2)
(5, 6), (6, 6), (7, 6), (8, 6)
(5, 5), (7, 7), (9, 9), (11, 12)
C and D both look correct???
Answer:
I think d is a one on one function while c is a function but a multiple relation function, sorry if im wrong
Ben is three times as old as Kate. Kate is 6 years older than Jill. Jill is J years old. What is the combined age of the three people?
Answer:
the combined age of the three people is
5 J + 24
Step-by-step explanation:
Jill (J)
Kate (J+6)
Ben 3(J+6)
J + (J+6) + 3(J+6)
J+J + 6 +3 J +18
5 J + 24
HELP DUE IN 5 MINS WILL GIVE 20 POINTS!!!!
Answer:
c is the answer i believe
Step-by-step explanation:
What is the greatest common monomial factor of 6m3x4 + 30m5y2 + 45m3x6y2? 6m5x6y2 3m3 6m3 3m5x6y2
Answer:
3m³
Step-by-step explanation:
The leading coefficiets, 6, 30 and 45 are all divisible by 3
m is the only variable present in all three terms.
m³ is a factor of m⁵