The diameter of the bottom of a lamp shade is twice the diameter of the top of the lamp shade. the top of the lamp shade has a 9-inch diameter. what’s the circumference of the bottom of the lamp shade? (hint: find the diameter of the bottom of the shade, then the circumference.)

p> q if you calculate p is100 q is 79

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.