Question

Heyy! can someone please help me with my math homework!! its due tmr :) it would help a lot thanks. Swipe over for the next question

Answer 1

Answer: page 1 answers: A) the triangles are similar because two of their angles are the congruent (the 90 degree one and the one that is touching the dot)

B) 0.6 mi

please include a clearer image of page 2s diagram ty!

Step-by-step explanation:

Since I explained the answer of A) for page 1 in the answer section I will explain how I got 0.6mi.

Firstly find the scale factor between the 2 triangles. In other words, what do you need to multiply each side of the smaller triangle to get the same lengths of the bigger triangle. Since we know one side of both triangles where the side we do know measures 0.1mi and the same side but on the bigger triangle measures 0.3mi that means 0.1 times something makes 0.3.
That means the scale factor is 3 because 3 * 0.1 = 0.3. Now to get the base which is the line from D to E multiply 0.2 * 3 (0.2mi is the base of the smaller triangle and 3 is the scale factor) which is 0.6mi

Therefore the distance between D and E is 0.6mi.