50 degrees
All triangles have 180 degrees total.
Since it’s an isosceles triangle, the 2 bottom angles are congruent; thus, they have the same angle measurement.
Now just subtract the two angles from 180 to get the third angle.
180 - 65 - 65 = 50
Diameter of the circle is BD as shown, as indicated and passed through center where BD passes, triangle ABD is a right triangle with angle ABD as the right angle. It means ADB and ABD are complementary which means
AB = 140 degree
AD=40 degree
There are 6, you'd think there would be 8 but the answer is actually 6. A diagonal is a line segment that connects to vertices, the two vertices chosen do not count when forming the triangle, two vertices that are adjacent to that chosen vertex are NOT included when forming the diagonal. It's confusing, but I hope this helps. If you have any follow up questions I'd love to answer them.
Solution
Problem 6
For this case we can do this:
12, 16,__, 14, 8, 7
We can solve for x like this:
Problem 7
F
The variable b represents the area of the base of the prism or pyramid. Hope that helps!
