Answer:
Option D)Neither solution is extraneous.
Step-by-step explanation:
we have
we know that
two possible solutions are x=-7 and x=1
<u><em>Verify each solution</em></u>
Substitute each value of x in the expression above and interpret the results
1) For x=-7
----> is true
therefore
x=-7 is not a an extraneous solution
2) For x=1
----> is true
therefore
x=1 is not a an extraneous solution
therefore
Neither solution is extraneous
the common difference is two of course
Answer:
Step-by-step explanation:
So we have the equation:
First, subtract 3 from both sides:
Definition of absolute value:
Divide both sides by 6 for both equations:
And we're done!
Using the two parallel line theorems we proved that ∠8 ≅ ∠4.
In the given question,
Given: f || g
Prove: ∠8 ≅ ∠4
We using given diagram in proving that ∠8 ≅ ∠4
Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So
∠8≅∠6
Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."
∠6≅∠4
Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."
∠8 ≅ ∠4
Hence, we proved that ∠8 ≅ ∠4.
To learn more about parallel line theorems link is here
brainly.com/question/27033529
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Answer : x = 20
Explanation :
3x + 2x +20 + 4x - 20 = 180
(3+2+4=9)
9x + 20 - 20
The 20s cancel each other out because one is positive and the other is negative
9x = 180
9x/9 = 180/9
X = 180 divided by 9
X = 20
