Prove that xr is equivalent to yp by using the terms in geometry, its just proofs

PQRS is a parallelogram                   Given
SR=PQ                                               property of parallelogram
m∠S=m∠Q                                         property of parallelogram
SP=QR                                               property of parallelogram
XP=RY                                               given
SP-XP=QR-RY                                  substitution
SX=QY                                              segment subtraction
ΔSRX is conggruent to ΔQPY           SAS theorem (side-angle-side)
XR=YP                                              CPCTC (corresponding parts of                                                                          congruent triangles are congruent)

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!