Answer:
Properties of rhombus
. all the properties of a parallelogram( apply the ones that matter hair are parallel sides opposite angles congruent and consecutive angles are supplementary)
. all sides are congruent by definition
. the diagonals bisect the angles
. the diagonals are perpendicular bisectors of each other
Properties of rectangle
. all the properties of parallelogram apply (the ones that matter hair are parallel sides, opposite sides are congruent, and diagonals bisect each other)
. all angles are right angles by definition
. the diagonals are congruent
Properties of square
. all the properties of a rhombus apply( the ones that matter have a parallel sides diagonals are perpendicular bisector of each other and diagonals bisect the angles)
. All the properties of rectangle apply (the only one that matter where is diagonals are congruent)
. All angles are right angles by definition
Hope it will help you
Step-by-step explanation:
Answer:
9 5/6 + 1 1/4 - 2 11/12 = 14
-37 7/8 - 20 -3 1/4 = 14 5/8
17/3 - 2 19/30 +5/2 = 10 4/5
23.1 + 1 7/10 - 18 1/5 = 66/10
Step-by-step explanation:
Monthly salary = $5667
25% of monthly salary = $1417
30% of monthly salary = $1700
Answer: X minus 1 over 2
Step-by-step explanation:
Use an inverse function calculator
Answer: The m ∡KLM is: 130° .
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Explanation:
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(3x − 4) = (4x − 27) ; (Since these are "bisected, congruent angles", they are equal).
⇒ 3x − 4 = 4x − 27 ;
⇒ Subtract "4x" from EACH SIDE of the equation; and add "4" to EACH SIDE of the equation;
⇒ 3x − 4 − 4x + 4 = 4x − 27 − 4x + 4 ;
to get:
⇒ - 1x = -23 ;
⇒ Divide EACH SIDE of the equation by "-1" ; to isolate "x" on one side of the equation; and to solve for "x" ;
⇒ -1x / -1 = -23 / -1 ; to get:
⇒ x = 23;
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To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ;
{Note: Remember: (3x − 4) = (4x − 27) } ;
So, plug in our solved value for "x" ; which is: "x = 23" into one of the expressions for one of the congruent angles.
Let us start with: "(3x − 4)" .
(3x − 4) = 3x − 4 = 3(23) − 4 = 69 − 4 = 65 .
By plugging in our solve value for "x" ; which is: "x = 23" ; into the expression for the other congruent angle, we should get: "65" ;
Let us try:
(4x − 27) = 4x − 27 = 4(23) − 27 = 92 − 27 = 65. Yes!
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So to find m ∡KLM:
(3x − 4) + (4x − 27) = 65 + 65 = 130° .
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Alternate method:
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At the point which we have:
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To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ; and at which we have our solved value for "x" ; which is: "x = 23" ;
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We can simply plug in our known value for "x" ; which is: "23" ; into the following:
m ∡ KLM = (3x − 4) + (4x − 27) = [(3*23) − 4] + [(4*23) − 27] ;
= (69 − 4) + (92 − 7) = 65 + 65 = 130° .
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{Note: Using this method, we determine that each angle is equal; that is, "65° ".}.
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