triangle ABC △ABC triangle, A, B, C is rotated -120° about point P create ΔA' B' C'
Answers
Answer:
40°
Step-by-step explanation:
Since triangle ABC is identical to triangle A'B'C', it has the same measures of respective sides and angles, and ang A is therefore equal to angle A'.
After rotational transformation, the measure of angle ∠A' = 40°.
What is a rotation transformation?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.
For the given situation,
The diagram shows the two triangles.
Triangle ABC is the original triangle and A'B'C' is the triangle obtained after the rotation of -120°.
From the definition, in rotational transformation the size and shape of the figure stays exactly the same. Then the angle measures are also remains the same.
Thus the measure of angle A' is [tex]\angle A' = \angle A = 40[/tex]
Hence we can conclude that after rotational transformation, the measure of angle ∠A' = 40°.
Learn more about rotation transformation here
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Related Questions
The student council is making and selling square patchwork quilts to raise money for the homecoming dance. Which of the following number of squares can be used to create a square patchwork quilt? Justify your answer using three complete sentences.
A. 35 B. 84 C. 64 D. 18
Answers
Answer:
64
Step-by-step explanation:
For the area of the quilt to be square, the number of "Squares" must be a square number. You must be able to take the square root and get an integer
35 is not a perfect square
84 is not a perfect square
64 is a perfect square sqrt(64) = 8
Answer:
the awnser is simply B. 84
Step-by-step explanation:
Select all ratios equivalent to 2:3.
Answers
Answer:
12:18 and 10:12 (i think)
Step-by-step explanation:
After converting the given ratios in their simplest form, the equivalent form of 2:3 we get 12:18.
To find the simplest form of a fraction, you have to simplify the numerator and denominator to their lowest terms and keep dividing until you can no longer simplify the fraction any further.
The given ratios are,
12:18,
3:21,
10:12
For the ratio 12:18,
Simplify it by finding the greatest common divisor (GCD) of 12 and 18.
The GCD of 12 and 18 is 6.
By dividing both numbers by 6, we get the smallest ratio of 2:3.
Moving to the ratio of 3:21,
Find the GCD of 3 and 21, which is 3.
Dividing both numbers by 3 results in the smallest ratio of 1:7.
Find the smallest ratio for 10:12.
The GCD of 10 and 12 is 2.
Dividing both numbers by 2 gives us the smallest ratio of 5:6.
Hence, the simplest form of ratios for the given ratios are:
12:18 = 2:3,
3:21 = 1:7,
10:12 = 5:6.
Hence,
The ratio equivalent to 2:3 is 12:18.
Learn more about the ratio visit:
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One table at a bake sale has 150 mini cupcakes. Another table has 180 mini cookies. Which allows more square arrangements when all the mini cupcakes and mini cookies are displayed? Explain.
Answers
Answer: 180
Step-by-step explanation:
their are many ways to split 180 into ways to be a square
Answer:
Another table has 180 mini cookies. Wich table allows more square arrangments when all mini cupcakes and mini cookies are displayed?
Step-by-step explanation:
Is –862 ÷ 1 positive or negative?
Answers
Answer:
Negative
Step-by-step explanation:
Answer:
It's negative
Step-by-step explanation:
–862 ÷ 1
= -862
and even remember that if a negative number is divided by positive the answer will be always negative
same applies here
Please get right and do quick
Answers
Answer:
h = S/(2 π r) - r
Step-by-step explanation:
Solve for h:
S = 2 π r (r + h)
S = 2 π r (r + h) is equivalent to 2 π r (r + h) = S:
2 π r (r + h) = S
Divide both sides by 2 π r:
r + h = S/(2 π r)
Subtract r from both sides:
Answer: h = S/(2 π r) - r
Answer:
h=s/(2 π r) -r
Step-by-step explanation:
I beg you, HELP MEEEE!!!!! One spinner is divided into four equal sections numbered 1 to 4. A second spinner is divided into five equal sections numbered 5 to 9. How many total outcomes are there if both spinners are spun?
13
9
20
36
Answers
Answer:
9 is the correct answer
please help me with this
Answers
what is a conversion i need a visual Please Hurry
Answers
Answer the question in the pic pls. Don’t answer unless you are sure if your answer
Answers
Answer:
its 20
Step-by-step explanation:
Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.
Answers
(4x^2+2x+1)(2x-1)
(2x-1) cancels out so
2x-1
4^2+2x+1
Find the function f(g(x)) if f(x) = x^2 + 2x. Given g(x) = x + 1. Also find f(g(2)) = f(2).
Please provide an explanation as well. Thank you! :)
Answers
I WILL MARK AS BRAINLIEST! Find the surface area and Volume of the following figures
Answers
Step-by-step explanation:
a) is really easy, right ?
the surface area consists of 6 rectangles (as you know, every die has 6 sides). they are 3 pairs of equally sized rectangles.
there are 2 rectangles 7×1, 2 rectangles 7×2, and 2 rectangles 2×1
SA = 2×7×1 + 2×7×2 + 2×2×1 = 14 + 28 + 4 = 46 in²
the volume is just length×width×height
V = 7×2×1 = 14 in³
b)
a little bit more difficult, but with a little trick just as easy.
the surface area consists of the 2 circle areas and the mantle "coating".
the area of a circle is pi×r².
we have to be careful as the given 10 ft is the diameter of these circles. the radius is half of it : 5 ft.
the area of the "mantle" we can calculate by imagining we simply slice it open with one straight line from top to bottom. and then we cut it off the two circles and put it flat on the table.
now we see it is just a rectangle. one side is 12ft. the other is the circumference of the previously attached circles.
circumference of a circle is 2×pi×r
so the surface area is 2×circle + (circumference circle)×12
SA = 2×pi×5² + (2×pi×5)×12 = 50pi + 120pi = 170pi =
≈ 534.07 ft²
the volume is one base area (circle) times height
V = pi×5²×12 = 300pi ≈ 942.48 ft³
at the mall, myna bought a shirt for 25.36, a hat for 5.09 and a belt for 11.45. how much did she spend altogether?
Answers
Answer:
41.90
Step-by-step explanation:
25.36 + 5.09 + 11.45 = 41.90
Answer:
25.36+5.09+11.45= 41.9
Step-by-step explanation:
At 6:00 AM, the temperature was 2 degrees Celsius. At 11:00 AM, the temperature was -11 degrees Celsius. By how many degrees Celsius did the temperature change?
A.
-13 degrees
B.
13 degrees
C.
9 degrees
D.
-9 degrees
Answers
Answer:
A
Step-by-step explanation:
2 + (-13) = - 11
Answer:
A
Step-by-step explanation:
It seems right, I checked 2
Given that |-6| > 3, which statement is not true?
-6 is farther from 0 than 3 is on the number line.
6 > 3
3 > -6
-6 is greater than 3.
Answers
Answer:
-6 is greater than 3.
Step-by-step explanation:
-6 is less than 3
3/2 = 5d - 1/2
solve for d
Answers
Answer:
D = 2/5 or 0.4
Step-by-step explanation:
3/2 = 5d - 1/2
move the terms
3/2 - 5d = -1/2
calculate the difference
-5d = -2
divide both sides by -5
2 = 2/5
3/2 = 5d - 1/2
+1/2 +1/2
2=5d
divide both sides by 5
D = 2/5
I am literally struggling lol
Answers
Answer:
The blank space is 2.
Answer:
2
Step-by-step explanation:
9*22 = 198
(9*20) + (9*2)
= 180 + 18
= 198
Which number has a 9 that is 1/10 the value of the 9 in 296?
195
409
981
1,956
Answers
Answer:
409
Step-by-step explanation:
This is very easy. First of all you need to workout out 1/10 of the value of the 9 in 296. The value of the 9 in 296 is 90.
1/10 of 90 is 9 (since 1/10 x 90 = 90/10 = 9)
The only number which has 9 as its final digit is 409
If you would explain your answer, that'd be great, but you can just answer it if you want
Answers
Explanation:
1) domain is all possible x values the graph covers so you can see the arrows point bot direction meaning it will go on forever
2) range is all possible y values so the graph goes all the way up but stops at -4 when going down, but it doesn’t touch 4 so it’s a parenthesis not a bracket (which is used when it’s equal to that number)
3) as x increases in number from negative to positive than y is also increasing (based on the graph)
4) as x decreases it stops a -4 but and doesn’t pass this y value ( it’s finding the limit)
5) x intercept is when y=0
6) y intercept is when x=0
Hope this helps!!
Find the number that makes the ratio equivalent to 11:4.
44:
Answers
Answer:
16
Step-by-step explanation:
11:4
44;x
11x4=44
4x4=16
Answer:
44:16
Step-by-step explanation:
11:4
44:x
44/11=4
4x4=16
11:4
44:16
pleasee helppp 15 pointss pleaseee
Answers
The first triangle with sides 7 and 3.5 be ΔABC
The second triangle with sides 3 and x be ΔCDE
ΔABC ≅ ΔCDE (they are congruent) as:
1) They have a common point C
2) ∠ABC = ∠CDE = 90° (given)
Hence we can say,
AC/CE = BC/CD
= 7/x = 3.5/3
Therefore,
x = (7*3)/3.5
= 21/3.5
= 6
Easyyy
Help me mateee or person
Answers
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Answers
Answer:
3 quadrant
3 quadrant
2 quadrant
2 quadrant
1 quadrant
4 quadrant
4 quadrant
3 quadrant
3 quadrant
2 quadrant
2 quadrant
1 quadrant
4 quadrant
4 quadrant
3 quadrant
Find the number that makes the ratio equivalent to 35:42
16
Answers
Answer:
5:6
Step-by-step explanation:
35:42
42/ 6 = 7
35/7 = 5
Answer:
35:42
Step-by-step explanation:
Calculate the Mean: 24, 27, 31, 21, 27
Answers
Answer: 26
Step-by-step explanation:
mean is the same thing as finding the average
you add up all the numbers then divide by the amount of numbers there are
24+27+31+21+27=130
130\5=26
In complete sentences, describe how Spain established territorial claims in the Caribbean and South America. Include these terms in your answer: Christopher Columbus, conquistadors, Hernán Cortés, Francisco Pizarro.
PLEASE help me
Answers
pls help this is due tmrw!! i will give brainliest :)
Answers
Answer:
C integers
Step-by-step explanation:
Becoz postive and negative numbers makes integers.
Answer:
A
Step-by-step explanation:
ny number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number. Examples of rational numbers are 1/2, -3/4, 0.3, or 3/10.
I WILL MARK AS BRAINLIEST! Find the area and perimeter of the following figures
Answers
Step-by-step explanation:
it is really not complicated. we only need to type the numbers into the calculator.
so, what's the problem ? you don't know what a perimeter is ? it is the circumference, the total way you have to go when waking all around the figure.
you don't know the formulas for the areas of specific figures ?
let's start :
a)
the area of a rectangle is length×width. I hope you know this at least since first grade.
the important thing here is : the result is in² and not just in. it means an area counts the little squares that fill that area.
A = 30×8 = 240 in²
the perimeter, as explained, is the whole way around it. so, in the end, as you can easily see, we would have to go 2 times the long side and 2 times the short side.
the result is in (just a length, a distance not an area, not a cube, ...).
P = 2×30 + 2×8 = 60 + 16 = 76 in
b)
the area of a triangle is
baseline × height / 2
in this case (a right-angled triangle) we can assume one of the sides enclosing the 90 degree angle as baseline and the other as height (since there is already a 90 degree angle between them).
and again, the result is ft². we could express it also e.g. as in², but since the basic measures are in ft, it makes it better understandable to use ft².
A = 12×5/2 = 6×5 = 30 ft²
the perimeter is even easier than for the rectangle, as we have one side less to count.
and as before, we stay with ft.
P = 12 + 13 + 5 = 30 ft
c)
this is the only more special case.
but it is still easy.
the area is baseline × height.
and our unit of measurement here is cm, so the result will be cm².
A = 10×2 = 20 cm²
the perimeter is the same principle as with a regular rectangle, as the angles don't matter. only the side lengths matter.
so, again, while waking around it, we have to pass 2 times the long side and 2 times the short side.
and the result is a length, a distance again, so, it is cm.
P = 2×10 + 2×4 = 20 + 8 = 28 cm
2. A= 30 feet squared. P=30 feet
3. A= 20 cm squared P= 28 cm
please helpp me i'm kinda not smart in da head
Answers
Answer:
the answer would be C.
Step-by-step explanation:
C is your answer
Answer:
answer b
Step-by-step explanation:
find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4) K(5,-3)
Answers
Answer:
ee
Step-by-step explanation:
e
