Question

A gurney is a wheeled cot or stretcher used in hospitals. Many gurneys are made so that the base will fold up for easy storage in an ambulance. When partially folded, the base forms a parallelogram. In O STUV, VU = 91 centimeters, UW = 108.8 centimeters, and mZTSV= 57°. Find each measure .

Option 1: SV (length of side ST) in centimeters.
Option 2: Angle ∠VTS in degrees.
Option 3: Angle ∠USV in degrees.
Option 4: None of the above.

Answer 1

With the given information about parallelogram STUV, we cannot directly calculate the length of SV or the measures of angles ∠VTS and ∠USV. Therefore, the correct answer is option 4: None of the above.

Step-by-step explanation:

Given a parallelogram STUV with VU = 91 centimeters, UW = 108.8 centimeters, and the measure of angle mZTSV = 57°, we have to determine the length of the side SV and the measures of angles ∠VTS and ∠USV. Unfortunately, with the given information, we are unable to directly find these measurements because a parallelogram does not guarantee right angles, and we do not have enough information to apply trigonometry or the properties related to the sides and angles of parallelograms. Hence, the correct answer to the question would be option 4: None of the above.