Answer:
The accurate statements are 2 and 3.
Step-by-step explanation:
Triangle SRQ undergoes a rigid transformation resulting in triangle VUT
Thus, ΔSRQ ≅ ΔVUT
Consequently, point S maps to point V, point R corresponds with point U, and point Q corresponds with point T.
Based on this information, let's review the statements:
1) SQ corresponds to VU. False as SQ corresponds to VT
2) ∠R corresponds to ∠U. True
3) UV corresponds to RS. True
4) ∠S corresponds to ∠T. False since ∠S corresponds to ∠V
5) QS corresponds to RS. False since QS corresponds to TV
Therefore, the true statements are 2 and 3.
2) ∠R corresponds to ∠U
3) UV corresponds to RS.
In the case of an equilateral triangle ABC, each angle measures 60 degrees, as the total angle sum in any triangle is 180 degrees, and dividing that by 3 yields 60. Setting this equal to 3x-12, we have 60 = 3x - 12. After adding 12 to both sides, we get 72 = 3x, and dividing 72 by 3 gives us x = 24.66! I hope this clarifies things for you!
