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zhenek [66]
3 years ago
13

Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle

X Y T. Is there a series of rigid transformations that could map ΔRST to ΔXYT? If so, which transformations could be used? No, ΔRST and ΔXYT are congruent but ΔRST cannot be mapped to ΔXYT using a series rigid transformations. No, ΔRST and ΔXYT are not congruent. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y. Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so that R is mapped to X.
Mathematics
2 answers:
vredina [299]3 years ago
6 0

Answer:

C. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Step-by-step explanation:

Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation and translation.

To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.

Therefore, option C is correct from the given question.

snow_lady [41]3 years ago
5 0

Answer:

C

Step-by-step explanation:

:)

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The answer is 0 because it cancels itself out
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Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause
vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

  1. She drove 3 hours on the interstate
  2. The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

7 0
3 years ago
Find the surface area of a rectangular prism measuring<br> 5 m by 8 m by 9 m.
olganol [36]
The formula of the surface area of the rectangular prism is equal:
A=2(wl+wh+lh)
where:
l - length
w - width
h - height
We have:
l = 5m
w = 8m
h = 9m
Substitute:
A=2\cdot(5\cdot8+5\cdot9+8\cdot9)=2\cdot(40+45+72)=2\cdot157=314\ m^2

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vampirchik [111]

Answer:

(x, x2 − 3x − 28) for all real numbers

Step-by-step explanation:

6 0
2 years ago
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tatuchka [14]

Answer:

-37m+6

Step-by-step explanation:

mkay so when working with simplifying any expressions like that, you wanna start with getting rid of your brackets. To do that, you simply take the number directly outside the bracket and you multiply it by everything inside. Let's take -9(m+2) first. You have to multiply everything inside the bracket by -9, so you have -9*m and -9*2, so you end up with -9m and -18. Now you do that to the second part of the equation (4*6 and 4*-7m) and you end up with 24 and -28m. Now you join all your terms together, and you have -9m-18+24-28m. Now all you do is add like terms (so -9m + -28m and -18+24) and you end up with a simplified expression of -37m+6. I hope this helped a little :)).

5 0
2 years ago
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