Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation △STU→△S'T'U'?
Answers
Answer:
The correct option is;
The fourth option
Please the attached drawing created with MS Visio
Step-by-step explanation:
From the given figure, we have;
The orientation of ΔSTU is equal to the orientation of ΔS'T'U'
When the plane of reflection is assumed to be the y-axis, we have;
For a reflection about the y-axis, we have;
The coordinate of the preimage = (x, y)
The coordinate of the image after the reflection = (-x, y)
When the image (-x, y) is reflected again across the y-axis, and becomes the image, we have;
The coordinate of the preimage = (-x, y)
The coordinate of the image after the reflection = (x, y)
Therefore, a reflection twice across the same y-axis would result in an image having the same orientation as the preimage
Given that a y-axis is parallel to another y-axis, we have;
A reflection twice across two parallel axis would result in an image having the same orientation as the preimage
The correct option is the 4th option
Please see attached drawing created with MS Visio
Answer:
the fourth one
Step-by-step explanation:
The pre-image and image of the translation are given.
To find the lines of reflection, locate a midpoint M of the translation vector between any two corresponding points on the pre-image and image.
The figure shows two congruent triangles S T U and S prime T prime U prime.
Then find the midpoints of SM and MS'.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. Point K is a midpoint of segment M S. Point N is a midpoint of segment M S prime.
The lines of reflection are perpendicular to the vector and intersect with the vector at the second set of midpoints by the Theorem of composition of two reflections across two parallel lines.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. There are two lines. The first line passes through point K. The second line passes through point N. These lines are perpendicular to segment S, S prime.
Therefore, the correct graph is the fourth one.
Related Questions
ITS DUE TODAY I NEED ANSWERS PLZZZ
Answers
Answer:
Step-by-step explanation:
1) = 132°
2) = 119°
3) = 47°
4)12x - 6 = 2+11x
x = 8
5) 19x + 5 = 100
19x = 95
x = 5
6) 7x = 8x - 11
11 = x
7) 2 + 8x = 9x - 4
6 = x
which values are solutions to the inequality below, need explanation to better understand if it can be given.
Answers
Answer:
a b and d
Step-by-step explanation:
Can someone help me with this question.
Answers
Answer:
C
Step-by-step explanation:
A function means that a graph cannot have repeating x values, so to test if something is a function we do the horizontal line test. You simply draw a vertical line and if the graph touches it twice it is not a function.
A new color of green requires 5 yellow to 4 parts blue. If the paint mixer used 30 gallons of yellow, how many gallons of blue were needed
Answers
Answer:
24 gallons of blue
Step-by-step explanation:
The number of gallons of blue color needed is for the mixer in which 30 gallons of yellow used, 24
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
A new color of green requires 5 yellow to 4 parts blue
The paint mixer used 30 gallons of yellow
The number of gallons of blue color needed = ?
Ratio of yellow to blue in mixture = 5/4
So, if 30 gallons of yellow is used
then gallons of blue = ?
Suppose, gallons of blue = x
5/4 = 30/x
x = 24
Hence, the gallons of blue is 24
To know more about Ratio check:
https://brainly.in/question/7996583
#SPJ2
17
What is the center and radius of the circle with the equation
2? + y2 - 2x + 4y - 4 = 0?
1) Radius:
Center:
Answers
Answer:
[tex] Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}[/tex]
two more than a certain number is 15 less than the product of 7/8 and the number
equation
Answers
Answer:
The number is -136.
Step-by-step explanation:
Let the number be x, so we have the equation:
x + 2 = 7/8 x - 15
x - 7/8 x = -15 - 2
1/8 x = -17
x = -17 * 8 = -136.
factor 1/9 out of 1/9x+10/9
Answers
Answer:
11/9
Step-by-step explanation:
Because 1/9 x 10 = 10/9
A grocery store clerk put only packages of glazed
donuts and packages of chocolate donuts on a
shelf. The ratio of the number of packages of
chocolate donuts to the total number of packages
on the shelf was 5 to 12. Which number could be
the number of packages of glazed donuts the clerk
put on the shelf?
A. 23 B. 18 C. 14 D. 32
Answers
Answer:
c. 14
Step-by-step explanation:
12 - 5 = 7
needs to be a multiple of 7 which 14 is
I need help with this
Answers
Answer:
The modal class is the one with the highest frequency, which is 17
So, the modal class is 20<h<40
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.
Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”
How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”
Answers
Answer:
How would Antonio respond....she would say "Thanks for the practice ".
Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.
okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9
Answer:
Rergvfgvf
Step-by-step explanation:
what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
5x^2
Step-by-step explanation:
35x^4 + 10x^3 + 25x^2 =
Break up each term into a product of all its prime factors.
= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x
Now see which factors are in common to all terms.
GCF = 5x^2
Help me please please
Answers
Answer:
x = 2, use formula of area of triangle by talking x as base and 5 as height.
Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answers
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
Find the area of a pizza with radius 4 inches.
Answers
Answer:
50.24
Step-by-step explanation:
4x4x3.14
(4 because of the radius)
(3.14 because of pi)
which statement describes a way to find the median if the data set?
Answers
Answer:
Step-by-step explanation:
i need help with this please
Answers
Answer:
Supplementary: 126 degrees ( 180-54)
Complementary: 47degrees (90-43)
Hope it helps!!!
-8(p - 4) = 96 solve for p
Answers
Answer:
-8
Step-by-step explanation:
i need help pls, trigonometry: finding sides and angles
Answers
Answer:
13. PS = 21.37
14. 68.74°
Step-by-step explanation:
13. QS/39 = tan 28
QS = 39 tan 28
sin 76 = QS/PS
PS sin 76 = QS
PS = QS/sin 76
= 39 tan 28/sin 76
= 21.37
14. tan 47 = BD/18
BD = 18 tan 47
cos CDB = 7/BD
= 7/(18 tan 47)
m∠CDB = arccos [7/(18 tan 47)
= arccos .362644...
= 68.74°
The trigonometry we get PS = 21.37 and m∠CDB= 68.74°
Trigonometry finding sides and angles
We have to find
What is the formula of tan?The value of tan is opposite side/adjacent side
Therefore we get
13. QS/39 = tan 28
QS = 39 tan 28
sin 76 = QS/PS
PS sin 76 = QS
PS = QS/sin 76
PS = 39 tan 28/sin 76
PS = 21.37
14. tan 47 = BD/18
BD = 18 tan 47
cos CDB = 7/BD
cos CDB= 7/(18 tan 47)
m∠CDB = arccos [7/(18 tan 47)
m∠CDB = arccos .362644...
m∠CDB = 68.74°
To learn more about the trigonometry visit:
https://brainly.com/question/24349828
PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
A. 113.5°
B. 47.5°
C. 46.5°
D. 180°
Answers
Answer:
C
Step-by-step explanation:
19.9 + 113.6 = 133.5
180-133.5= 46.5
Answer:
[C] 46.5°
Step-by-step explanation:
Given:
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
Note that:
Triangle = 180 degree
Solution:
Since,
x = 19.9 degree
y = 113.6 degree
then we have:
19.9 + 133.6 + z = 180
133.5 + z = 180
Subtract both sides by 133.5
133.5 - 133.5 = 180 - 133.5
x = 46.5 degree
Hence, the measure of angle z is 46.5
Also means that [C] 46.5 is the correct answer.
Kavinsky
PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK I WAS STUCK ON THIS ONE
Answers
Answer:
Your answer is $19.26
Step-by-step explanation:
I did the math
Answer:
C
Step-by-step explanation:
12.00x50%=6
12.00x7%=0.84
12+6+0.84=18.84
Alexandra is going to wrap the presents to give to her twin sisters for there birthday. How much wrapping paper will she need
Answers
Answer:
Step-by-step explanation:
2
2 wrapping paper
Explanation:
2 wrapping paper because there are 2 twin sisters
So, therefore 2 wrapping paper
Can someone please please help me
I’ll give brainiest
Answers
Answer:
$13.50
Step-by-step explanation:
So excluding tax and tip, let's find the cost of the meal.
$6.70 + $1.95 + $2.35 = $11.00
Now let's add the 4.5% tax. We do this by adding 4.5% of 11.00 to 11.00
$11.00 + 0.045($11.00) = $11.495 which rounds to 11.50
Now the tip is 2 dollars, so add 2 to 11.50 to get $13.50
4.5% sales tax is $0.50 so $11 + $0.50 = $11.50
$11.50 + $2.00 tip = $13.05
Find an exact solution for √5-1/x = √5/2 Then find the approximate solution to the nearest tenth.
Answers
Step-by-step explanation:
[tex] \frac{ \sqrt{5 - 1 } }{x} = \frac{ \sqrt{5} }{2} \\ \\ x \sqrt{5 } = 2 \sqrt{5} - 2 \\ x = 2 - \frac{2 \sqrt{5} }{5} [/tex]
what is the slope of a line parallel to the line whose equation is y=2/3x+3. fully simplify your answer
Answers
Answer:
2/3 already simplified
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
If a line is parallel to any other lines, the slope will be the same as the starting line
Area and Perimeter.
Answers
Answer:
A = b x h
P = b + b + h + h
A = 84 in
P = 38 in
a= 84
p= 38
Like a neighbor, state farm is there.
Which one is the correct answer, please help.
Answers
Answer:
one solution
one solution
Find the area of the shaded region:
Answers
Answer:
I'm pretty sure it's 36.8
A news channel on cable T.V. polled politicians on an issue to find out who agreed with a court decision. This is the graphic they used in their report.
Results by Party
A graph titled Results by Party has Political party on the x-axis, and Percent who agreed on the y-axis, from 53 to 63 in increments of 2. Democrats, 62; Republicans, 54; Independents, 54.
Source: mediamatters.org
What makes this graph misleading?
a.
The horizontal scale only shows three parties. It needs to show every party.
b.
The vertical scale is too broad. It needs to focus in on a narrower range.
c.
The horizontal scale exaggerates the differences between the parties.
d.
The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
answer is D
Step-by-step explanation:
too broad on the graph should start from 0-100
Answer:
the answer is d
Step-by-step explanation:
I will mark you brainlist!
The dot plot above shows the number of times that several families dine out. How many more families dine out 4 or more times per week than families that dine out less than 2 times per week?
Answers
6 families dinned out 4 or more time per week
3 families dinned out less than 2 times per week
Now you must subtract the #'s
6 - 3 = 3
3 more families dined out 4 or more times per week.
A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?
Answers
Answer:$39
Step-by-step explanation:
Answer: $39.00 I'm pretty sure