Answer:
The area of a rhombus is
square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle



Multiply both sides by 6.

The height of the rhombus is
.
Area of a rhombus is



Therefore, the area of a rhombus is
square units.
Answer:
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Step-by-step explanation:
Answer: Y = 2 ; 3 ; 4
Step-by-step explanation:
Given the rule : y=1/4x + 1
X = 4, 8, 12
When x = 4
y = 1/4(4) + 1
y = 1 + 1
y = 2
When x = 8
y = 1/4(8) + 1
y = 8/4 + 1
y = 2 + 1
y = 3
When x = 12
y = 1/4(12) + 1
y = 12/4 + 1
y = 3 + 1
y = 4
Therefore ;
X - - - 4 - - - 8 - - - 12
Y - - - 2 - - - 3 - - - 4
Answer:
The equivalent expressions are;
9x + 9
and
9(x + 1)
Step-by-step explanation:
Mathematically, we should understand that an equilateral triangle has all of its sides equal
So if one side is 3x+ 3, the other sides too measures same
Therefore, the length of the rope represents the perimeter of the triangle
This is obtainable by adding all the side lengths together
This will be;
3x + 3 + 3x + 3 + 3x + 3 = 9x + 9
This is also same as 9(x + 1)