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

all the statements are true

Step-by-step explanation:

The acute triangle is the triangle in which all the angles are less than 90°

While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle

Given that

p = Acute triangle

q = equilateral triangle

Based on the above explanation

The conditions are as follows

p ∨ q is  true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true

p ∧ q is also true, the ∧ refers that both the statements should be true.

The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows

The last means equal and is valid if both p and q are the same as they are, so that is true too.

Hence, all the statements are true

13875138answer:

step-by-step explanation:

use a calculator!

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."