Answer:
x = i π n + log(20)/2 for n element Z
Step-by-step explanation:
Solve for x:
500 = 25 e^(2 x)
500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:
25 e^(2 x) = 500
Divide both sides by 25:
e^(2 x) = 20
Take the natural logarithm of both sides:
2 x = 2 i π n + log(20) for n element Z
Divide both sides by 2:
Answer: x = i π n + log(20)/2 for n element Z
Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
-
A rotation, then a reflection.
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- Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
- In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
- A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
- A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
- In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.
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Thus, from the bullet points above, the correct options are:
- A reflection, then a translation.
- A rotation, then a reflection.
A similar problem is given at brainly.com/question/24267298
Answer:
A
Step-by-step explanation:
Answer:
$89.1
Step-by-step explanation:
13.5 % of $660
= 13.5/ 100 × 660
= 0.135 × 660
= 89.1
hence, $ 89.1
