Mathematics, 10.10.2021 17:00, elreemali03
The figure below shows rectangle ABCD:
Rectangle ABCD with diagonals AC and BD passing through point E
The following two-column proof with a missing statement proves that the diagonals of the rectangle bisect each other:
Statement Reason
ABCD is a rectangle. Given
Line segment AB and Line segment CD are parallel. Definition of a Parallelogram
Line segment AD and Line segment BC are parallel. Definition of a Parallelogram
Alternate interior angles theorem
Line segment BC is congruent to line segment AD. Definition of a Parallelogram
∠ADB ≅ ∠CBD Alternate interior angles theorem
ΔADE ≅ ΔCBE Angle-Side-Angle (ASA) Postulate
Line segment BE is congruent to line segment DE. CPCTC
Line segment AE is congruent to line segment CE. CPCTC
Line segment AC bisects Line segment BD. Definition of a bisector
Which statement can be used to fill in the blank space?
∠ABD ≅ ∠DBC
∠CAD ≅ ∠ACB
∠BDA ≅ ∠BDC
∠CAB ≅ ∠ACB
Answers: 2
Mathematics, 21.06.2019 16:30, eliascampos823
Which choice represents the sample space ,s for this event
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Mathematics, 21.06.2019 19:20, cody665
1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?
Answers: 2
Mathematics, 21.06.2019 22:00, harry5112
Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250
Answers: 1
The figure below shows rectangle ABCD:
Rectangle ABCD with diagonals AC and BD passing through poi...
Mathematics, 16.03.2020 23:58