Answer with explanation:
Properties of Rectangle
1. Opposite sides are equal and parallel.
2. Diagonals are equal and bisect each other.
3. Adjacent Sides are Perpendicular to each other.
→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.
→A Rectangle is a Quadrilateral also.
→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.
⇒Slope of AB × Slope of BC = -1
⇒Also, Slope of AB × Slope of BC = -1
Slope of AB × Slope of AD = -1
⇒ Slope of AD × Slope of CD = -1
Slope of CB × Slope of CD = -1
Option B And Option C
are statement which proves that polygon ABCD is not a rectangle.
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Answer;
1. m = 16
2. x = -z + 34 or z = -x + 34
3. p = 49
Step-by-step explanation;
1. m + 13 - 13 = 29 - 13 | Subtract 13 from both sides ( m = 16 )
2. - z + 34 | Add -z to both of the sides ( x = - z + 34 )
Or - x + 34 | Add -x to both of the sides ( z = - x + 34 )
3. 136 - 87 = 49 | Subtract 87 from both sides ( p = 49 )
[ Hope This Helped ! ]
Answer:
1.b
2.d
Step-by-step explanation:
i think
Choices A, C, D have a y-value that is 5 more than the x-value, so those points are on the line defined by the first equation.
Choice D satisfies the requirement
... y = 2x - 13
... 23 = 2·18 - 13
... 23 = 36 - 13
The appropriate choice is ...
... D (18, 23)