Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12. a. x = –6 or x = 1
b. x = –3 or x = –2
c. x = –1 or x = 6
d. x = 2 or x = 3

Step-by-step explanation:

(x + 2)(x + 3) = 12

x² + 5x + 6 = 12

x² + 5x - 6 = 0

(x + 6)(x - 1) = 0

By zero product rule, we have (x + 6) = 0 or (x - 1) = 0.

=> x = -6 or x = 1. (A)

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

welll its a very hard question but ill

step-by-step explanation:

first you take the 6 dollars and add 10 to it then add the 50 to that then multiply by 8 with xy and your answer will be

hope this