Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x
Answer:
m=-1/2
Step-by-step explanation:
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.
YQ/SQ = JB/DB
YQ/72 = 60/45
YQ = 72*(60/45) = 96
Selection D is appropriate.
Answer:
Both of them can be simplified.
Recall that 4 = 2^2.
2^7 / 4^2 = 2^7 / (2^2)^2 = 2^7 / 2^4 = 2^(7-4) = 2^3 = 8
Similarly, 2^7 / 2^4 = 2^(7-4) = 2^3 = 8
The answers to both exercises are 8.
