Given: AB || DC ∠A ≅ ∠D

Prove: ΔABC ≅ ΔDCB

Triangles A B C and D C B share common side C B. Angles C D B and C A B are congruent. Sides C D and A B are parallel.
Isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. What statement and reason could she have used?

∠ABC ≅ ∠BAC; corresponding angles of parallel lines are congruent.
∠CAB ≅ ∠DCB; alternate interior angles of parallel lines are congruent
∠ABC ≅ ∠DCB; alternate interior angles of parallel lines are congruent
∠ACD ≅ ∠ABD; corresponding angles of parallel lines are congruent.

2

step-by-2step explanation:

pakistan's principal natural resources are arable land and water. about 25% of pakistan's agriculture accounts for about 21% [1] of gdp and employs about 43% of the labour force. in pakistan, the most agricultural province is punjab where wheat and cotton are the most grown.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560