△rst is similar to triangle △xyz by the aa similarity postulate .

what is the measure of ∠x?

The measure of ∠X  is  110°

Step-by-step explanation:

If two triangles are similar then their corresponding angles are same by AA similarity.

we can observe from provided triangles,

∠S=∠Y=23°

∠T=∠Z=47°

So, In triangle Δ XYZ ;

∠X +∠Y +∠Z = 180° (∵By angle sum property)

∠X +23° +47° = 180°

∠X +70° = 180°

Subtract 70° from both the sides in the above expression,

∠X  = 180°-70°

∠X  = 110°

Hence the measure of ∠X  is 110°

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: