Natalie can take one of her three friends with her on a trip to italy. she can't decide whom to take. nick suggests that natalie use a random number generator to assign numbers 1 through 20 to him, sarah, and mike until all the numbers are used. then natalie can pick a number from 1 to 20, and that friend will go. is nick's suggestion fair? explain.

No, one friend will have fewer numbers assigned

Step-by-step explanation:

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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.