Answer:
8 40/7 - 5 40/7 = (56 + 40)/7 - (35 + 40)/7 = 96/7 - 75/7 = 21/7 = 3
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Answer:
31.18 units²
Step-by-step explanation:
The diagonals bisect the angles.
⇒ Angle at half the rhombus = 120 ÷ 2 = 60°
Both sides of the triangle are 6 units:
⇒ Half the rhombus is also an isosceles triangle.
⇒ the other angle is also 60°.
Both angles are 60°,
⇒ the third angle is 180 - 60 - 60 = 60°
⇒ it is an equilateral triangle.
Area of an equilateral triangle = √3/4 (6)² = 15.59 units²
The rhombus is made up of two of the triangles.
⇒ Area of the rhombus = 15.59 x 2 = 31.18 units²
Base: 6
height 12
because 6+12 is 18 and 18 times 2 is 36
We have AB + BC = AC.
2x + 7 = 6x - 5
2x - 6x = - 5 - 7
-4x = -12
x = -12/-4
x = 3
We both know that x is 3.
We also want AB.
AB = 2x
AB = 2(3)
AB = 6
Did you follow?