In circle r, rd¯¯¯¯¯ is a radius and df¯¯¯¯¯ is a tangent segment. which statement must be true? a. △rdf is an obtuse triangle. b. rd=df c. rd=rf d. △rdf is a right triangle.

It is given in the question that RD is a radius and DF is a tangent segment.

And in a circle, radius and tangent are always perpedicular.

And it is not necessary that they are equal.

Neither it is necessary that RD and RF are equal.

So the only correct option is the last option, that is triangle RDF is a right triangle.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.