The proof that ΔABC ≅ ΔCDA is shown. Given: ∥ Line segment A B is parallel to line segment C D and Line segment B C is parallel to line segment D A ∥Prove: ΔABC ≅ ΔCDAParallelogram A B C D is shown. A line is drawn from point A to point C to form 2 triangles. What is the missing reason in the proof?StatementsReasons1. AB ∥ CD; BC ∥ DA1. given2. Quadrilateral ABCD is a ▱2. definition of parallelogram3. AB ≅ CD; BC ≅ DA3. opposite sides of a parallelogram are ≅4. AC ≅ AC4. reflexive property5. ΔABC ≅ ΔCDA5. ?perpendicular bisector theoremPythagorean theoremHL theoremSSS congruence theorem

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

the answer is 8.64

step-by-step explanation:

134.6 us dollars

step-by-step explanation:

1 us dollar = 1.33 canadian dollars

so, 150 us dollars = 150 × 1.33 = $199.5.

in canada, the money mitchell spent = 20 canadian dollars.

remaining canadian dollars with him = 199.5 - 20 = 179.5.

after mitchell returned to us, he exchanged the remaining canadian dollars to us dollars.

179.5 canadian dollars = 179.5 × 0.75 = 134.6 us dollars.