Explain why the indicated triangles are congruent.L is the midpoint of
. ?LKO ? ?LMN.
?
. Explain why ?LKO ? ?LMN.
What will be an ideal response?
Since L is the midpoint of ,
?
. ?LKO ? ?LMN and
?
are given. So two sides and an included angle of ?LKO are congruent to the corresponding parts of ?LMN. So ?LKO ? ?LMN by SAS.
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Find the indicated probability.The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of his car and its make (foreign or domestic): Age of Car (in years)If a car is selected at random from the lot, what is the probability that it is either a foreign car or less than 3 years old? Give your answer as a fraction.
A.
B.
C.
D.
Find the odds.What are the odds in favor of drawing a 2 from these cards?
A. 1:5 B. 4:1 C. 1:4 D. 5:1
Find the average value of the given function over the plane region R.
?
; R is the region bounded by the graph of
and
from
to
.
?
A.
B. ?
C. ?
D. ?
E. ?
Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. log
A.
B. log x -
log y
C.
D. log - log