FIND THE SOLUTION OF EACH EQUATION IF THE REPLACEMENT SETS ARE
A = {0,3,5,8,10}
1 . B - 12 = 9
2. 15/A = 3
3. 31 = 3A + 7
FIND THE SOLUTION OF EACH EQUATION USING THE GIVEN REPLACEMENT SET.
4. T - 13 = 7 {10, 13, 17, 20}
5. 22 = N/3 {62,64, 66, 68, 70}
SOLVE EACH EQUATION
6. A = 32 - 9(2)
7. 12 x 5/ 15 - 3 = Y
8. 27 + 5/ 16 = G
9. R = 9(6)/ ( 8 + 1 ) 3
10. DURING A LIFETIME, THE AVERAGE AMERICAN DRINKS 15,579 GLASSES OF MILK, 6220 GLASSES OF JUICE, AND 18,995 GLASSES OF SODA. WRITE AND SOLVE AN EQUATION TO FIND (G), THE TOTAL NUMBER OF GLASSES OF MILK, JUICE, AND SODA THAT THE AVERAGE AMERICAN DRINKS IN A LIFETIME.
FIND A SOLUTION SET FOR EACH INEQUALITY USING THE GIVEN REPLACEMENT SET.
11. S - 2 < 6 {6, 7, 8, 9, 10, 11}
12. 3 ≥ 25/ M {1, 3, 5, 7, 9, 11}
PLEASE HEP THANKS! :)

< 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)

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).