Let p: a triangle is acute.
let q: a triangle is equilateral.

if q is true, which statements must be true? select three options.

p ∨ q
p ∧ q
p → q
q → p
q ↔ p

An equilateral triangle has all three angles as 60 degrees, this also makes the triangle an acute triangle.  

This makes both p and q true.

P V q is also true, the V means “or”, so if either p or q is true the statement is true

p ∧ q means and, since both p and q are true, this is also true.

The left and right arrows means “implies”, so this is true if and only

     if the p is false or q is true (the sentence ((~p)vq) is true). Since Both p and q are true both the left and right arrows are true

The last one means equal and is true if both p and q are the same, which they are, so this is also true,.

All the given statements are true.,

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,