Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan? Sarkis cannot draw a triangle with these side lengths.
Sarkis can only draw one unique triangle with these side lengths.
Sarkis can draw exactly two triangles with these side lengths.
Sarkis can draw more than one triangle with these side lengths.

Sarkis cannot draw a triangle with these side lengths.

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the other side.

Thus, Sarkis cannot draw a triangle with these side lengths.

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tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: