Bridget drew ΔYZ and Δ′ ′ ′ on a coordinate plane, as shown below.
Which statement about the relationship between ΔYZ and Δ′ ′ ′ is true?
A: Δ′ ′ ′ is NOT a translation of ΔXYZ because not all points contained in Δ′ ′ ′ have negative x-coordinates.
B: Δ′ ′ ′ is a translation of ΔXYZ because their corresponding sides are parallel.
C: Δ′ ′ ′ is a translation of ΔXYZ because all points in Δ′ ′ ′ are the same distance and direction from the corresponding points in ΔXYZ.
D: Δ′ ′ ′ is NOT a translation of ΔXYZ because the y-coordinate of Point is not the same as the y-coordinate of point ′.
Answers
Answer:
The statement that is true about the relationship between ΔXYZ and ΔX'Y'Z' is option "C"
C. ΔX'Y'Z' is a translation of ΔXYZ because all points in ΔX'Y'Z' are the same distance and direction from the corresponding points in ΔXYZ
Step-by-step explanation:
The triangles Bridget drew are;
ΔXYZ and ΔX'Y'Z'
The coordinates of ΔXYZ = X(-5, 7), Y(-9, 2), Z(-3, 2)
The coordinates of ΔX'Y'Z' = X'(1, 2), Y'(-3, -3), Z'(3, -3)
From the coordinates we have;
The x-coordinates of ΔX'Y'Z' = The x-coordinates of ΔXYZ + 6
The y-coordinates of ΔX'Y'Z' = The y-coordinates of ΔXYZ - 5
Therefore, the translation that gives ΔX'Y'Z' from ΔXYZ = T₆, ₋₅
Therefore;
1) ΔX'Y'Z' is obtained from ΔXYZ by a translation as the points in ΔX'Y'Z' are obtained from ΔXYZ by adding the same value to the x-coordinates of the points on ΔXYZ and subtracting the same value to the y-coordinates of the points on ΔXYZ, such that the points in triangle ΔX'Y'Z' are equidistant from and on the same side relative to the corresponding points on ΔXYZ
2) Given that triangle ΔXYZ and ΔX'Y'Z' are not rotated or reflected, we have that the corresponding sides of ΔXYZ and ΔX'Y'Z' are parallel
The correct options are therefore option "C" and and the option "B" is only partially correct because the sides can be parallel but do not have the same size.
Related Questions
find x / solve for x
Answers
Answer:
Step-by-step explanation:
Create and solve an equation of ratios:
5 x
--- = ----
4 8
Cross multiplying yields 4x = 40, or x = 10
Is x = 7 a solution to the equation 3x - 4 = 15? No Yes
Answers
Answer:
no
Step-by-step explanation:
To determine if x = 7 is a solution.
Substitute x = 7 into the equation and if left side equals right side then it is a solution
3(7) - 4 = 21 - 4 = 17 ≠ 15
Then x = 7 is not a solution to the equation
No, x = 7 is not the solution of Equation 3x - 4 = 15
What is an Equation?An Equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that an Equation 3x - 4 = 15
Solving x = 7 we get,
3*7 - 4 = 21 - 4 = 17
17 ≠ 15
Hence, x = 7 is not a solution of the given Equation.
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Help please help no links
Answers
Answer:
dum bot answerd
Step-by-step explanation:
Find the slope of the line through the points (4,5) and (-7,6)
Answers
Answer:
m = -1/11
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
if i get 20 dollars per 5 minutes for 10 hours how many dollars will i make
Answers
Answer:
2400 dollars
Step-by-step explanation:
600 minutes in 10 hours
600/5 = 120
120*20 = 2400 dollars
i need help on this pls
Answers
Answer:
Hello!
1 on the left in vertical and 1 on the right is adjacent hope that helps.
Jackson can do 15 chin-ups in 60 seconds. At this rate, how many chin-ups can he do in 108 seconds?
Answers
Answer:
1620 I think. I'm not rlly sure but this seems,like the correct answer from my calculations.
Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8
What does a rate of change of zero mean in this situation?
a.
The median age of a man at the time of his first marriage is, on the average, constant.
b.
The median age of a man at the time of his first marriage is, on the average, decreasing.
c.
The median age of a man at the time of his first marriage is, on the average, increasing.
d.
The rate of change cannot be zero in this situation.
Answers
Answer:
its a on edg 2021
Step-by-step explanation:
The median age of a man at the time of his first marriage is, on the average, constant.
What is the average change rate?It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.
Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.
Determine the rate of change between 1950 and 1960.
The average rate of change = [f(a) - f(b)]/ [ a - b ]
The average rate of change is equal to (22.8 - 22.8) / 10 = 0.
As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.
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Solve the quadratic equation.
x2 + 8x + 14 = 23
What is the smaller answer? x=
What is the larger answer? x=
Answers
Answer:
smaller answer x=-9
larger answer x=1
Step-by-step explanation:
[tex]x^{2}[/tex]+8x+14=23
[tex]x^{2}[/tex]+8x-9=0
D=64+36=100
[tex]x_{1} =\frac{-8+10}{2} =1[/tex]
[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]
so, smaller answer x=-9
larger answer x=1
Answer:
x = - 9, x = 1
Step-by-step explanation:
Given
x² + 8x + 14 = 23 ( subtract 23 from both sides )
x² + 8x - 9 = 0 ← in standard form
(x + 9)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9 ← smaller answer
x - 1 = 0 ⇒ x = 1 ← larger answer
Paisley has $540 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $446.60.
• She buys 3 bicycle reflectors for $4.09 each and a pair of bike gloves for $35.82.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $72.82 each.
Which inequality can be used to determine x, the maximum number of outfits Paisley
can purchase while staying within her budget?
O 540 < 494.69% + 72.82
72.82x + 494.69 > 540
Submit Answer
72.82x + 494.69 < 540
540 > 494.69x + 72.82
Answers
The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.
The first step is to determine the total cost of the items bought.
Cost of the bicycle = $446.60.
Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27
Cost of the bike gloves = $35.82
Total cost = $494.69
The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31
The amount of money left is not sufficient to buy the new biking outfits.
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What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm
Answers
Answer:
B. 191 cm2
Step-by-step explanation:
have a nice day!!! :)
The area of the Circle is 191.03 cm².
Option B is correct.
What is Area of Circle?Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.
The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.
The area of a circle is calculated as A = πr², where r is the radius of the circle.
Given:
r = radius = 7.8cm
π = 3.14
So, area of Circle
= πr²
Now, substitute the values we get
= 3.14 x 7.8 x 7.8
= 3.14 x 60.84
= 191.03 cm²
Thus, the Area of Circle is 191.03 cm².
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Ja’ron collected data about the number of students participating in different types of after-school programs. The chart displays his findings.
Program
Students Participating
sports
23
art
25
academic
21
religious
18
family
32
Which type of graph would best display the data?
bar graph
line graph
line plot
stem and leaf plot
Answers
Answer:
A. Bar graph
Step-by-step explanation:
Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.
help me pzz please please
Answers
Answer:
Step-by-step explanation:
i dont get it
Answer:
just multiply al the sids like you would with a square
A Canadian tourist carried CAN $500 with him to Jamaica to spend. If he were to change it into Jamaican currency, how much JM dollars would he have to spend? CAN $1.00 = JMD $117
Answers
Answer: A Canadian tourist carried CAN $500 with him to Jamaica to spend. If he were to change it into Jamaican currency, how much JM dollars would he have to spend? CAN $1.00 = JMD $117
Hope this helps, if I got it wrong, I'm very sorry.
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< Exit
Topics 1-8 Cumulative/Benchmark Assessment
00:00
Simplify the expression below:
3(7x) – 2(4 - x)
Answers
Answer:
23x - 8
Step-by-step explanation:
The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.
Here, we have,
given that,
the expression is:
3(7x) – 2(4 - x)
now we have to simplify this expression.
so, we have,
3(7x) – 2(4 - x)
= 21x - 8 + 2x
adding the like terms we get,
=> 23x - 8
Hence, The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.
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Part I
What is the area of the side yard?
Answers
Answer:
its 165 square feet
Step-by-step explanation:
i got the same question and that was the answer (:
ggsfgsrgr help please
Answers
Answer:
The answer is m=0.10L
Step-by-step explanation:
You just input the values in L in the equation to get M you just do process of elimination
Will give Brainliest please help!!!!!!!!!!!!!!
Answers
Answer:
4⁷
Step-by-step explanation:
Rule of exponents is:
aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾
4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷
Answer:
Step-by-step explanation:
If it's what i think it is, it's answer with letter ABecause main part if same, you just write it again and exhibitors get collected5+2= 7. I hope i helped you!What is the circumference in centimeters of the circle 24cm
Answers
Answer:
75.36
Step-by-step explanation:
C= 2 pi r
c= d pi
c= 24*3.14
c= 75.36
Please need help evaluate the math problems
Answers
x + y when x = 6 and y = 2
6 + 2 = 8
[tex]\frac{9x+24}{4}[/tex] when x = 12 and y = 20
[tex]\frac{148}{4}[/tex] = 37
[tex]\frac{6m}{n}[/tex] when m = 12 and n = 3
[tex]\frac{72}{3}[/tex] = 24
Six times x
6x
Six increased by x
6 + x
The sum of x and y
x + y
Find the volume of the sphere.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest hundredth.
radius is 8
Answers
Answer:
volume = 682.67π units³ or 2143.58 units³
Step-by-step explanation:
volume = 4/3πr³
volume = 4/3π8³ = 4/3π(512)
volume = 682.67π
If a basketball is bounced from a height of 15 feet, the function f(x)=15(.75)^x gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 5th bounce? Round to the nearest tenth of a foot.
Answers
Answer:
3.5595feet
Step-by-step explanation:
Given the function f(x)=15(.75)^x which models the height of the ball in feet of each bounce, where x is the bounce number. The height after the 5th bounce will be gotten by substituting x = 5 into the function
f(x)=15(.75)^x
f(5)=15(.75)^5
f(5)=15(0.2373)
f(5)= 3.5595
Hence the height after the 5th bounce is 3.5595feet
Answer:the answer is 3.6 if you’re rounding to the nearest 10th of a foot
Step-by-step explanation:
.75 to the power of 5 times 15
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answers
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
Based on the table, how much more money would a electrician earn earn than a social worker over a 20 year career?
A) $11,390
B) $112,250
C) $123,640
D) 227,800
Answers
$61 820 x 20 years
= $1 236 400
Social worker
$50 430 x 20 years
= $1 008 600
Difference
$1 236 400 - $1 008 600
= $227 800
x^(2)-4x-17=0
Please show work step by step
Answers
Step-by-step explanation:
It seems here that they are asking us to solve for x
to do this we first need to factor
Since we can't factor this using the normal method we can instead do this
x^2 -4x-17=0
add 4 to both sides as it is a perfect square
x^2 - 4x + 4 = 17 +4
(x-2)^2 = sqrt 21
x-2 = ± 4.58
x -2 = 4.58 x-2 = -4.58
x= 6.58 x=-2.58
Or just say x=2+√21 or x=2−√21
You randomly choose one marble from the jar. Find the theoretical probability of the event.
1. Choosing a red marble
2. Choosing a green marble
3. Not choosing a blue marble
Answers
Answer:
1. 33%
2. 16%
3. 50%
Step-by-step explanation:
What is the value of 4a ^2 when a = 3?
Answers
Answer:
36
Step-by-step explanation:
4×(3)²
4×9
36
Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
Answers
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
PLEASE HELPPP ME!!!
complete the table.
do not put the link/site it gives me ur info and i can hack it lol.
Answers
Answer:
-28.5
-5
-11.8
-4.5
Step-by-step explanation:
From that data provided for Monday
Temperature at noon = temperature at midnight + the change in temperature
-32 + 20 = -12
Temperature on Tuesday's noon = -17.5 + (-11) = -28.5
Temperature on Friday's noon = -21.8 + 17.3 = -4.5
From that data provided for Monday
Temperature at midnight = temperature at noon - change in temperature
-12 - 20 = -32
Temperature on Wednesday's midnight = 10.5 - 15.5 = -5
From that data provided for Monday,
change in temperature = temperature at noon - temperature at midnight
-32 - (-12) = 20
Change in temperature on Thursday = -24 - (-12.2) = -11.8
Por recomendación médica, Marta sale a caminar en la mañana y en la noche. En la mañana recorre 1,2 km cada hora, mientras que en la noche recorre 1,5 km cada hora. Si en la mañana dedica 1,3 horas a caminar y en la noche 1,6 horas, ¿Cuántos kilómetros camina de lunes a viernes?
Answers
Answer:
19.8km recorre Marta
Step-by-step explanation:
Las horas que recorre Marta en la mañana de cada día son:
1.3 horas * (1.2km / h) = 1.56km en la mañana
Y en la Noche de cada día:
1.6 horas * (1.5km / h) = 2.4km en la noche
Esto significa que cada día recorren:
1.56km + 2.4km = 3.96km diarios.
De lunes a viernes (5 días) Marta recorre:
3.96km * 5 =
19.8km recorre Marta