A.) Find x value. The diagram is not drawn to scale.
B.) Is the triangle equilateral, isosceles, scalene? Explain

Question

A.) Find x value. The diagram is not drawn to scale.
B.) Is the triangle equilateral, isosceles, scalene? Explain

arabpride · Answer

Is there a picture? *^.^*

anonymous · Answer

attachment

anonymous · Answer

There's three arcs: 

8x - 10
6x
10x + 10

They add up to 360, the degree of the full circle.

anonymous · Answer

So 360 = 8x - 10 + 6x + 10x + 10

anonymous · Answer

You can use this to first solve for x

anonymous · Answer

$$360 = 8x - 10 + 6x + 10x + 10$$

$$360 = 24x$$

$$x = 360/24$$

$$x = 180/12$$

$$x = 90/6$$

$$x = 30/2$$

$$x = 15$$

anonymous · Answer

To see what type of triangle this is, we ca now use x to find the length of the arcs. The angles are inscribed angles, so the value of the angles will be half the value of the arcs.

anonymous · Answer

The angles are 1/2 the value of the arcs, so inputting x for the arcs we find that:

angle R = 55
angle Q 45
angle P = 80

anonymous · Answer

A scalene triangle is a triangle where no angles are sides are equivalent.

anonymous · Answer

x = 15

It is a scalene triangle because none of the sides or angles of the triangle are equivalent.