Question

score on last try: 0 of 1 pt. see details for more. next question you can retry this question below use euler’s theorem to find the number of faces given an octagonal pyramid with 16 edges and 9 vertices. enter an integer or decimal number more.. check answer

Explanation:

Step1: Recall Euler's Theorem

For polyhedra, Euler's Theorem is $V - E + F = 2$, where $V$ = vertices, $E$ = edges, $F$ = faces.

Step2: Plug in known values

Substitute $V=9$, $E=16$:
$9 - 16 + F = 2$

Step3: Solve for $F$

Simplify left side: $-7 + F = 2$
Add 7 to both sides: $F = 2 + 7$

Answer:

9