Answers:
Reason 2: Reflexive Property of Congruence
Reason 4: Hinge Theorem
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Explanation:
The reflexive property of congruence basically says that any angle is congruent to itself. Also, any segment is congruent to itself. It's a trivial thing to think about, but needed for this proof to work
The hinge theorem says that the larger the angles are, the larger the opposite side will be. Think of a door opening on a hinge. The larger the hinge angle, the further the door will be from the frame.
Drag the expressions into the boxes to correctly complete the table.
Answer:
The bookshelf will fit between the windows with 1 inch remaining.
Step-by-step explanation:
Total width available for bookshelf
Six and half feet = 6.5 feet = 78 inches
Total width of the bookshelf = 77 inches
Hence, the bookshelf Mrs. Aguilar has purchased will fit between the windows with 1 inch remaining.
Answer:
(3x^2+y^2+2xy)(3x^2+y^2-2xy)
Step-by-step explanation:
9x^4+2x^2y^2+y^4
(3x^2+y^2+2xy)(3x^2+y^2-2xy)
Both terms are perfect squares. So you will factor using the difference of squares formula. a^2-b^2=(a+b)(a-b)
Take what the square is for every term.
9x^4. What squared is 9? 3 and take half of the power or 2. That's how you get the 3x^2
2x^2y^2 is the same way. 2xy and 2xy
y^4 is y but dived he powers by 2 to get y^2.
Take one of each and but in () like I have above.