Answer: x=-2
Step-by-step explanation:
Given
f(x)=2(3x+7)-4(x-2)
f(x)=18
Use substitution method
2(3x+7)-4(x-2)=18
Expand parenthesis
6x+14-4x+8=18
Combine like terms
2x+22=18
Subtract 22 on both sides
2x+22-22=18-22
2x=-4
Divide 2 on both sides
2x/2=-4/2
x=-2
Hope this helps!! :)
Please let me know if you have any questions
This looks like were trying to prove a pair of angles of an isosceles triangle are congruent.
To do that we need the fact that it's an isosceles triangle, which is AB=AC.
That's choice A.
None of the other choices make sense just by symmetry. AD=AC, nope the middle and the side, BD=AD, nope, AB=BD, nope.
choice A.
Answer:
If two parallel lines 
and 
are cut by a transversal, then the alternate interior angles are congruent.
Below is the prove of this.
Step-by-step explanation:
As we know that Alternate interior angles are two angles that are on the interior of and , but on opposite sides of the transversal.
In other words, If two parallel lines and are cut by a transversal, then the alternate interior angles are congruent.
Lets prove this.
Given: p ║ q
Prove: ∠1 ≅ ∠2
Statement Reasons
1. p ║ q 1. Given
2. ∠1 ≅ ∠3 2. Corresponding Angles Postulate
3. ∠3 ≅ ∠2 3. Vertical Angles Congruence Theorem
4. ∠1 ≅ ∠2 4. Transitive Property of Congruence
Answer:
Yes (6,1) is a solution to the inequality
Step-by-step explanation:
Plug in the coordinate point and check:
11(6)+3(1)>4?
66+3>4?
69>4
Since 69 is indeed greater than 4, then (6,1) is a solution to the inequality.
Please provide the context of problem
