What is the length of pq? 3 units 4 units 6 units 7 units

Second option is correct.

Step-by-step explanation:

Since we have given that

In Δ TSR,

TR= 3

SR= 4

∠STR = 66°

So, we will first congruent the two triangle i.e.

Consider ΔPTQ and ΔTSR,

PT= TR = 3 (∵ Radii of circle )

∠PTQ= ∠STR = 66° (∵ Vertically opposite angles are equal )

TS= QT = 3 ( ∵ Radii of circle )

∴ ΔPTQ ≅  ΔTSR ( By SAS congruence )

So, by CPCT( corresponding parts of congruent triangle ),

PQ= SR = 4

Hence, PQ =4

Therefore, Second option is correct.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)