Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

Mathematics

2 answers:

Serjik [45]3 years ago

4 0

Answer by JKismyhusbandbae:

|x| - 2 > 0

|x| -2 + 2 > 0 + 2

|x| > 2

Answer: x < - 2 or x > 2

grandymaker [24]3 years ago

3 0

|x| - 2 > 0

first step is to get the absolute value alone

add 2 to each side

|x| - 2 +2> 0+2

|x| > 2

then separate the absolute value in to inequalities, one positive and one negative (the negative flips the inequality)

x >2 or x<-2

Answer: x >2 or x<-2

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Determine whether the triangles are similar. or not.

mr Goodwill [35]

Answer:

Step-by-step explanation:

We know that ∠ $ABE$ ≅ ∠ $DBC$ because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠ $BAE$ and ∠ $DCB$ as they have different measures, so we'll have to find the measure of either ∠ $AEB$ or ∠ $BDC$ . Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is $180$ °, we know that $m$ ∠ $AEB=180-(53+42)=180-95=85$ °. Now, we know that ∠ $AEB$ ≅ ∠ $DCB$ because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by $AA$ . Hope this helps!