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:
I hope first term is 1.
Hope this is your question, if not I think you will, still be able to
find an answer of your question based on this solution.
The formula for general term of a geometric sequence is,
Where, first term: a_{1} =1 and common ratio: r = -4.
So, first step is to plug in the values of a1 and r in the above formula to get the rule of this geometric sequence. Hence,
So, the rule of the geometric sequence is .
To find the seventh term, plug in n = 7 in the above rule. Therefore,
= 
= 4096
Hope this helps you!.
Answer:
The perimeter of the rectangle is 54 meters.
Step-by-step explanation:
In order to find the perimeter of the rectangle, which is the sum of all the sides, we need to know not only the length, but also the width. The formula for area of a rectangle is A = length x width. Setting up an equation to find width 'w', we get: 162 = 18 x w. Using inverse operations, we divide both sides of the equation by 18 to get w = 9. Since we now know that w = 9 and l = 18, we can find the perimeter using the following equation: P = 2w + 2l or P= 2(9) + 2(18) or P=54 meters.
Answer:
The Quadratic Formula: Given a quadratic equation in the following form:
ax2 + bx + c = 0
...where a, b, and c are the numerical coefficients of the terms of the quadratic, the value of the variable x is given by the following equation:
\small{ x = \dfrac{-b \pm \sqrt{b^2 - 4ac\phantom{\big|}}}{2a} }x=
2a
−b±
b
2
−4ac
∣
∣
∣
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Select 3 equivalent expressions
Express 9 as 3^2
--- This is one equivalent expression
Take 
as difference of two squares
-- This is another equivalent expression:
Solving further:
becomes
-- This is another equivalent expression:
Hence, the equivalent expressions are:
