Fiona's school is in the shape of a triangle, with three hallways connecting the corners. fiona enters the building and walks 90 yards through the first hallway to the first corner. then, she walks 60 yards through the second hallway to the second corner.
what are the possible lengths of the third hallway?
between 30 yards and 60 yards
between 30 yards and 90 yards
between 30 yards and 120 yards
between 30 yards and 150 yards

between 30 yards and 150 yards

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

x > the possible lengths of the third hallway in yards

Applying the Triangle Inequality Theorem

1) 90+60 > x

150 > x

Rewrite

x < 150 yd

2) 60+x> 90

x > 90-60

x > 30 yd

The possible lengths of the third hallway in yards is the interval

(30,150)

All real numbers greater than 30 yards and less than 150 yards

therefore

between 30 yards and 150 yards

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation:

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