Question

Luke observes the Bermuda Triangle on two maps of different sizes. The triangles are similar and have dimensions, in centimeters.

Two similar triangles with vertices labeled Bermuda, Miami, and San Juan Puerto Rico are shown. In the bigger triangle, the distance between Bermuda and Miami is 9 and the distance between Miami and San Juan Puerto Rico is 3x. In the smaller triangle, the distance between Bermuda and Miami is 8 and the distance between Miami and San Juan Puerto Rico is x + 5.

What is the value, in centimeters, of x?


2. What is the product of the square root of t. (8the square root of 2. − 7)? Simplify if possible.

2t

the square root of the quantity 2 times t.

8the square root of the quantity 2 times t. − 7

8the square root of the quantity 2 times t. − 7the square root of t.

3. What is the simplified form of the expression the square root of the quantity 4 times c to the sixteenth power. − the square root of c squared. + 6the square root of c squared. + the square root of the quantity 9 times c squared.?

2c4 + 8c

2c4 + 10c

2c8 + 8c

2c8 + 10c