Use the converse of the side-splitter theorem to determine if . which statement is true?

line segment tu is parallel to line segment rs because .
line segment tu is not parallel to line segment rs because .
line segment tu is parallel to line segment rs because .
line segment tu is not parallel to line segment rs because .

The correct option is 1.

Step-by-step explanation:

From the given figure it is clear that QT=32, TR=36, QU=40 and US=45.

The converse of side splitter theorem states that if a line divides two sides proportionally, then that line is parallel to the third side.

The ratio in which TU divides the two sides is

It means the line TU divides two sides proportionally.

Using converse of side splitter theorem, Line segment TU is parallel to line segment RS because

Therefore the correct option is 1.

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47