The figure below shows rectangle abcd: the following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other: which statement can be used to fill in the blank space? (a) ∠abd ≅ ∠dbc (b) ∠cad ≅ ∠acb (c) ∠bda ≅ ∠bdc (d) ∠cab ≅ ∠acb

B would be the answer because if you were to search up a picture of alternate interior angles, it would be the same as <CAD and <ACB

(B) ∠CAD≅∠ACB

Step-by-step explanation:

Given in the question quadrilateral ABCD is a rectangle and a table of two-column proof with missing statement for proves that the diagonals of the rectangle bisect each other.

If we want to prove that the diagonals bisects to each other, then for this  first we will prove that ΔADE≅ΔCBE. But given in the two-column proof  

∠ADB≅∠CBE , side BC= side AD .  ∠CAD ≅ACD must be  necessary for to prove that ΔADE≅ΔCBE (ASA postulate). Hence statement  ∠CAD ≅ACD can be used to fill in the blank space.

27

step-by-step explanation:

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: