17. A scale drawing of a pool is shown. The length of the pool in the drawing is 4.6 inches. The scale that maps the drawing to the actual pool is 1 inch to 3.4 feet.
Using the scale given, enter the actual length, in feet, of the pool.

15.64 ft

Step-by-step explanation:

Scale of the drawing = 1 inch to 3.4 feet

Length of pool in the drawing = 4.6 inches

Let "x" represent the actual length of the pool.

Thus,

1 inch : 3.4 ft = 4.6 inches : x ft

Cross multiply

Actual length of the pool is 15.64 ft

Given that,

The angles in a triangle are represented by x, x+10, and x+50.

We had to,

find the measure of the largest angle.

Let's start to solve,

→ x + (x+10) + (x+50) = 180°

→ x + x + x = 180° (-50 -10)

→ 3x = 180° -60

→ 3x = 120

→ x = 120/3

→ x = 40°

Then the value of x + 10,

→ x + 10

→ 40 + 10

→ 50°

Then the value of x + 50,

→ x + 50

→ 40 + 50

→ 90°

The measure of the largest angle is,

→ D. 90 degrees

Hence, option (D) is correct answer.