Answer:

Step-by-step explanation:
we know that

----> 
see the attached figure to better understand the problem
Triangles ABD and BCD are similar by AA Similarity Theorem
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so

substitute the given values



simplify

Can you take picture better?I need to see this good
Okay so you want to do the parentheses first okay? So 2.3333...+1.3333333 is?3.666 or 3 2/3. So you got that right? So then 5 1/3+ 3 2/3. You get an easy 9. Because 1/3+ 2/3 adds up to 3/3, and is normally written as 1. So add a one to 5+3=8+1.
Answer:
See below.
Step-by-step explanation:
Part A:
triangle QPR and triangle PSR are similar
Part B:
Triangle QPR is a right triangle with right angle QPR.
Triangle SPR is a right triangle with right angle PSR.
Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.
Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.
The similar triangles by AA Similarity are
triangle QPR and triangle PSR
Part C:
QR/PR = PR/SR
16/PR = PR/4
PR² = 16 * 4
PR² = 64
PR = 8