12 groups in a 1:1 ratio of boys:girls. there are only 12 girls so one in each group + 1 boy per group gives you 12 groups. with a remainder of 6 boys
Answer:
455ways
Step-by-step explanation:
This is expressed as 15 C 3 ( C- combination)
The concept of combination is used when we talk about selection.
Now we are selecting 3 from a sample of 15
15 C 3 = 15! / (15-3)! 3! = 15 ×14×13×12!/12!×3×2
= 5 × 7 × 13 = 455ways
Answer:
Step-by-step explanation:
3x - 50 = 2x - 5 { a// b, so alternate interior angles are equal}
3x - 2x = -5 +50
x = 45
Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.
