Answer: See below
Step-by-step explanation:
<u>Given:</u>
AB = CD and BC = DE
<u>To prove:</u>
AC = CE
Statements Reasons
- AB = CD Given
- AB + CB = CD + BC Addition property of equality
- AB + BC = CD + DE Given: BC = DE
- AC = CE By segment addition: AB + BC = AC and CD + DE = CE
Therefore, AC = CE has been proved
12x - 4y = -8
y = 3x + 2
Rewrite the first equation
12x + 8 = 4y
3x + 2 = y
As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.
Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.
Similarity is the comparison between two things in a fashion that shows what is similar or shared between those two things. Similar qualities, similar behaviors, etc are all categorized as a similarity comparison.
