Question

Please solve 11, the angle U is cut off it is all the way to the right

10. If PR=10,RS=6, and PT=15, then TU=?.
11. If PT=32,PU=48, and RS=10, then PR=?.
12. If PR=14,RS=7, and RT=26, then SU=?.

Answer 1

In question 11, TU is calculated to be 5 using given values for PT, PR, and RS. In question 12, PR is found to be -26 using given values for PT, PU, and RS. In question 13, SU is calculated as 33 using given values for PT, PR, RS, and RT.

Step-by-step explanation:

11. Given that PR = 10, RS = 6, and PT = 15, we can find TU. Since PR + RS = PT, we can subtract PR from both sides to get RS = PT - PR. Therefore, TU = PT - PR = 15 - 10 = 5.

12. In this case, we are given PT = 32, PU = 48, and RS = 10. We want to find PR. Since PT = PU + UT = PU + (PR + RS), we can substitute the known values in and solve for PR. PT = 32, PU = 48, and RS = 10. Therefore, PR = PT - (PU + RS) = 32 - (48 + 10) = -26.

13. Given PR = 14, RS = 7, and RT = 26, we need to find SU. Since PT = PR + RT, we can substitute the known values in and solve for PT. PR = 14, RS = 7, and RT = 26. Therefore, PT = PR + RT = 14 + 26 = 40. Now, we can find SU by subtracting RS from PT. SU = PT - RS = 40 - 7 = 33.