The diagonals of a rhombus are perpendicular bisectors of each other, and are also angle bisectors. The 4 congruent right triangles the rhombus is cut into by the two diagonals are 30-60-90 degree triangles, the longer leg is √3/2 of the hypotenuse, √3/2 of 10=5√3. so the longer diagonal is twice of 5√3=10√3
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Answer:
(x + y)(1 + x - y)
Step-by-step explanation:
x + y + x² - y²
(x + y) + (x - y)(x + y)
[ Using a²-b² = (a-b)(a+b) ]
Taking (x + y) common
(x + y)(1 + x - y)
Answer:
D. 6x + 3
Step-by-step explanation:
A perimeter is just the sum of all sides of a shape.
First, write an equation to add all sides of the triangle:
(x + 4) + (3x - 2) + (2x + 1)
What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:
x + 3x + 2x + 4 -2 + 1
6x + 3
And that's our final answer: 6x + 3
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Answer:
b
Step-by-step explanation:
