Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin
Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
Step-by-step explanation:
Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.
Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.
So we can already discard all the options with dilations.
Now, remember how the dilation works.
If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.
Notice that if the scale factor is equal to 1, then there is no change.
In the options, we have one where the scale factor is -1.
The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.
Then the only option that not dilates the triangle is:
Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
So this is the only transformation that results in a figure congruent to the triangle ABC
f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
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If angle 1= 36 degrees and angle 4= 115 degrees what is the measurement of angle 2 ?
Let f(x) = 5^x Find f(-3).
what did you guys get?
Answer:
I got 1/125
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16
Answer:
Step-by-step a) Simplify the expression and explain each step.
4(3x + 2) - 2
b) Factor the expression completely.
20b - 16
Let v= 3i − 2j + k (or equivalently ). Find non zero vectors w and u such that each of v, w and u is orthogonal (another word for perpendicular) to the other two Make sure you demonstrate that they are each orthogonal to one another after you find them.
Answer:
w = 1 i + 1 j - 1 k
u = 1 i + 4 j + 5 k
Step-by-step explanation:
Two possible vectors are:
w = 1 i + 1 j - 1 k
and
u = 1 i + 4 j + 5 k
since they verify the rules for scalar product equal zero among them:
v * w = 3 - 2 - 1 = 0
v * u = 3 - 8 + 5 = 0
u * w = 1 + 4 - 5 = 0
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Answer: sure
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Answer:answer is b
Step-by-step explanation: Just makes since
true or false 2*10=2*10^3
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
2*10 = 20
So your equation would look like this:
20 = 2*10^3
10 to the third power is 1000
1000*2 = 2000
2000 is not equal to 20
Hope I helped :)
Please consider Brainliest :)
Need help on both plz will much appreciated
Answer:
4= 7 as the answer
5= 12/52
Step-by-step explanation:
These are the weekly wages paid to staff in a hotel.
£245
£140
£525
£163
£195
£174
£140
What is the range of these wages?
What is the mean wage?
Answer:
range is 525-140=385
The mean of a set of numbers is the sum divided by the number of terms. Mean= 226
Step-by-step explanation:
hope that helper, have a good one
Range = 525 - 140 = 385
Mean =
[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]
solve -3x^2=150
please help me
Answer:
x=5i√2,−5i√2
Tap to view steps...
Step-by-step explanation:
math, way, . , com
Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)
Answer:
The coordinates of the midpoint of LB are (1, 3.5)
Step-by-step explanation:
The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
Let us use this rule to solve the question
∵ M is the midpoint of segment LB
∵ The coordinates of point L are (8, 5)
∴ x1 = 8 and y1 = 5
∵ The coordinates of point B are (-6, 2)
∴ x2 = -6 and y2 = 2
→ Substitute these values in the rule of the mid point above
∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]
→ Remember (+)(-) = (-)
∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]
∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]
∴ M = (1, 3.5)
∴ The coordinates of the midpoint of LB are (1, 3.5)
An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.
Answer:
44 ft/hr
Step-by-step explanation:
First, we convert miles to feet.
6 mi*5280 = 31680 feet
Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.
30*24 hrs = 720 hrs
Now we have this speed -
31680 ft/720 hrs
Now we simplify this to -
44 ft/hr
So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?
Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.
Answer:
28
Step-by-step explanation:
35/5 ÷ -3/4
=7÷ (-3/4)
=7× (4/-3)
=(7×4)/-3
=- 28/3
the minus is already placed in the question, that makes the answer 28 without the minus
if x=2+ root 3 then find the value of (x-1/x)^3
HELP ASAP
Answer:
10 and ten-elevenths
Step-by-step explanation:
x = 2 + _/3
(x-1/x)^3
(2+_/3)^3 - (1÷2+_/3)^3
= (8 + 3) - 1 ÷ (8 + 3)
= 11 - 1/11
= 10 10/11
Express the number 7,980 in scientific notation.
Answer:
7.98x10^3
Step-by-step explanation:
10^3=1000
Answer:7.980 × 10^3
Step-by-step explanation:
i’ll literally give you 45 points but please answer it correctly i have a D in math class
I wrote out the answers on top of the sheet. Hope this helped!
What is 120 divided by 55
Answer:
2.2
..................
120/55
Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah
Answer:
Sarah wrote 4 songs
Ronnie wrote 10 songs
Paul wrote 8 songs
Step-by-step explanation:
Find the slope of the line y=4x+2
Answer:
M=4
Step-by-step explanation:
I hope this helps!
please help!!
find h(8)-f(-7)
PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest
Answer:
(x)^2+(5)^2=(9)^2
Step-by-step explanation:
(a)^2+(b)^2=(c)^2
(x)^2+(5)^2=(9)^2
x^2+25=81
-25 -25
x^2=56
x=28
p.s. this ^2 means squared
PLEASE HELP ASAP
can you help me please
Maggie clams that there are transformations that preserve the length of the rectangles side. Which of the following transformations could be used to support Maggie’s claim?n
Answer: A B F
Step-by-step explanation:
simplify the expression and explain each step.
1. 4(3x + 2) -2
2. factor the expression completely 20b -16
please explain how to solve! will mark brainliest
Answer:
is the 3x a expression ill comment the awnser if is
Step-by-step explanation: