Answer:
46
Step-by-step explanation:
∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.
∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.
Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.
So, the side lengths of the trapezoid are ...
and the perimeter is 9 +9 +12 +16 = 46 units.
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The percentage of parents that have one child under 18 in their homes is k = 15%
The percentage of parents that have two children is T = 65%
The percentage of parents that have three or more children is Y = 20%
Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as
=>
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