To construct an angle MNT congruent to angle PQR:
Steps to construct an angle MNT:
Step 1: Use a compass to draw an arc from point Q which intersects the side PQ at point A and the side QR at point B.
Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X.
Step 3: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the previous arc drawn from N in a point Y.
Step 4: Join points N and Y using a straightedge.
Step 5: Angle MNT is the required angle congruent to angle PQR.
The answer to the question is D
Answer: - 2
Step-by-step explanation:
(1/36)^n = 216^n+5
(1/6^2)^n = (6^3)^n+5
(6^-2)^n = (6^3)^n+5
Opening the brackets
6^-2n = 6^3n+15
-2n = 3n + 15
collecting like terms
-2n - 3n = 15
-5n = 15
divide both sides by - 5
n = 15/-5
n = - 3