Draw a perpendicular from the center of the
circle to the midpoint of a side of the triangle.
Now draw a line from the center to the vertex
of that side. You now have a right triangle with
a base angle of 30º, side adjacent to that angle
of 3, and hypotenuse = r, the radius of circle. So,
cos 30º = 3/r, r = 3.46, the diameter
is twice that, 6.92 round to 6.9
Answer: Rhombus
A rhombus is a quadrilateral with all four sides the same length. If all four angles are the same (all 90 degrees), then the rhombus is more specifically a square. Any rhombus is a parallelogram which is why we have congruent opposite pairs of angles.
Answer:
e = 6
Step-by-step explanation:
Step 1: Write equation
-2(8 - e) = 2 - e
Step 2: Solve for <em>e</em>
- Distribute -2: -16 + 2e = 2 - e
- Add e to both sides: -16 + 3e = 2
- Add 16 to both sides: 3e = 18
- Divide both sides by 3: e = 6
Step 3: Check
<em>Plug in e to verify it's a solution.</em>
-2(8 - 6) = 2 - 6
-2(2) = -4
-4 = -4
