Question

Check answers? Will award a medal!
Jeremiah uses bamboo rods to make the frame of a tailless kite. He ties three bamboo rods together to form right triangle PQR. He then ties another rod from P that meets RQ at a right angle. Segment PS in the figure below represents this rod, and it is 10 inches long.
A right triangle PQR with right angle at P. PS meets RQ at a right angle and is 10 inches long.

Which of the following could be the lengths of segments QS and SR? (5 points)

QS = 30 inches, SR = 70 inches
QS = 2 inches, SR = 5 inches
QS = 5 inches, SR = 20 inches
QS =

Answer 1

I think this is C

Answer 2

The figure shows five locations in a city. The road that connects the playground and the pharmacy is parallel to the road that connects the school with the ice-cream shop, as shown.

A right angled triangle with school, ice-cream shop, and town hall located at the vertices. The right angle of the triangle is located at the ice-cream shop. The playground is located on the line joining the town hall with the school. The pharmacy is located on the line joining the town hall with the ice-cream shop. The line joining the playground and pharmacy is parallel to the line joining the school and ice-cream shop. The distance from the town hall to the school is 4.5 miles. The distance from the town hall to the playground is 3.0 miles. The distance from the town hall to the ice-cream shop is 3.0 miles

What is the distance between the town hall and the pharmacy?
(5 points)

1.5 miles
2.0 miles
3.0 miles
4.5 miles

Answer 3

I think this is B