The letters of the word mathematics are written of pieces of paper and placed in a hat. a slip of paper is drawn from the hat. find each of the following probabilities without replacing the letters. 1. p(m or a then c)

4/11, then 1/10

Step-by-step explanation:

11 letters in Mathematics, 4 are Ms or As. 4/11

now, after 1 has been taken out, it cant be put back in. "...without replacing the letters."

10 letters left after 1 has been taken out. 1 is a C. 1/10

BOOM! MaThEmAtIcS :P

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.