6x2 + 6x – 1= -5x – 4

x= -1/3 or x= -3/3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+6x−1=−5x−4

Step 1: Subtract -5x-4 from both sides.

6x2+6x−1−(−5x−4)=−5x−4−(−5x−4)

6x2+11x+3=0

Step 2: Factor left side of equation.

(3x+1)(2x+3)=0

Step 3: Set factors equal to 0.

3x+1=0 or 2x+3=0

x= -1/3 or x= -3/3

∠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.

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72