Section 25 Exercise's Practice and Application Exercises
In Exercises 1–54, express each probability as a fraction reduced to
lowest terms.
In Exercises 1-10, a die is rolled. The set of equally likely outcomes
is (1,2,3,4,5,6). Find the probability of rolling
1. a 4.
2. a 5.
3. an odd number.
4. a number greater than 3.
5. a number less than 3.
6. a number greater than 4.
7. a number less than 20.
8. a number less than 8.
9. a number greater than 20.
10. a number greater than 8.

step-by-step explanation:

can you complete your sentence? i could !

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

a

step-by-step explanation: