noah took a long bike ride. he began at his house, riding 3 km west. he turned north and rode 5km . he took a turn to the east and rode 6km. next he rode south for 2km. noah turned west and rose 3km, then made one more turn to get home . which direction was his last turn and how far was the last leg of the trip

His last turn was in West direction and his last leg of the trip is 6 Km away

Step-by-step explanation:

The direction and distance travelled is as follows

a) West - 3 Km

b) North - 6 Km

c) South 2 Km

d) West - 3 KM

At last he turned in the west direction and he travelled 3 Km + 3 Km = 6Km

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.