Respuesta :

Answer:

#1

Use ratios to solve similar triangles

  • x/5 = 30/8
  • x = 5*30/8
  • x = 18.75
  • Option A

#2

The included angles are

  • ∠PQT ≅ ∠RQS as vertical angles
  • Option B

#3

  • AD = DB, AE = EC
  • D is midpoint of AB, E is midpoint of AC
  • DE is midsegment and midsegment is half of the parallel side:
  • DE = 1/2 BC
  • Option C

A 18.75

B vertical angles are congruent

30/8= 3.75

5• 3.75=18.75