The correct answer choice is:
______________________________________________ [C]: "<span>
Multiply each side by −8, subtract 35 from each side" .
_______________________________________________Explanation:_______________________________________________Given: "</span>

(x + 35) = -7 " ;
We can START by multiply each side of the equation by "-8" to completely get rid of the "

" fraction on the "left-hand-side" of the equation:
since: "

* -8 = 1 ; and: "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.
"

* -8 =

*

=

=

= 1 .
____________________________________________________So, given: "

(x + 35) = -7 " ; ;
We multiply each side of the equation by "-8" ;
→ -8 * {

(x + 35) } = -7 * {-8) " ;
→ 1 (x + 35) = 56 ;
→ x + 35 = 56 ;
Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;
→ x + 35 − 35 = 56 <span>− 35 ;
</span>→
x = 21 .
______________________________________________________
So, as explained, the correct answer is:
______________________________________________________
Answer choice: [C]:
______________________________________________________
"<span>
Multiply each side by −8, subtract 35 from each side" .
______________________________________________________</span><span>
</span>
Answer:
∠1 ≅ ∠2
Step-by-step explanation:
As shown in the figure:
We need to prove e ∥ f using the congruent angle.
So, check the options:
A) ∠2 ≅ ∠4 ⇒ (Wrong)
B) ∠1 ≅ ∠2 ⇒ (True) because a ∥ b (Given)
C) ∠2 ≅ ∠3 ⇒ It is required to prove that to prove e ∥ f , it can't be used.
D) ∠1 ≅ ∠4 ⇒ (Wrong)
The complete sentence will be:
We see that <u>∠1 ≅ ∠2</u> by the alternate exterior angles theorem.
Therefore, angle 2 is congruent to angle 3 by the transitive property.