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.,

hello! just here for points! though i wish i knew!

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²