Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Given:
The equation is

To find:
The coefficient and reciprocal.
Solution:
We have,

Here,
is multiplied with x.
So, the coefficient of x is
.
To find the reciprocal, we need to interchange numerator and denominator of a fraction.
So, the reciprocal of
is 
Therefore, the reciprocal is 3.
Answer:
X= 43
y=120
Step-by-step explanation:
3x + 8 + X = 180
4x = 180 - 8
X = 43
2y +17+X = 180
2y + 17 + 43 = 180
y = 180 - 60
= 120
Answer: B. Similar - AA
Step-by-step explanation:
The AA or Angle-Angle postulate states that if two corresponding angles are congruent, then the triangles are congruent.
Answer:
5
Step-by-step explanation:
It's the one that's missing.
Hope I helped!
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