Which statements about the diagram are true? select three

DE+EF>DF

5<DF<13

∆DEF in a scalene triangle.

Step-by-step explanation:

When combined, DE and EF must be longer than DF, or else the three sides will not all be connected, and the shape will no longer be a triangle.

DE+EF>DF

When combined, DE and EF must be longer than DF, or else the three sides will not all be connected, and the shape will no longer be a triangle.

When combined, DE and DF must be longer than EF, or else the three sides will not all be connected, and the shape will no longer be a triangle.

DE+EF=13

DF<13

DE+DF>EF

4+DF>9

DF>5

5<DF<13

The |, ||, and ||| on the lines EF, DE, and DF means that all of the sides have different lengths. This means that the triangle is scalene.

∆DEF is a scalene triangle.

I hope this helps. :)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

80

step-by-step explanation: