Answer:
Yes
Step-by-step explanation:
This is becuase 46 x 1.06= 48.76, thats less than $50.
Answer:



Step-by-step explanation:
Step 1: Pythagoras Theorem
Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

Step 2: Trigonometric Functions
Only for a right angle triangle following three trigonometric relations are valid



Step 3: Verifying all the possible answers
A: Since, LN = x and using 
we can calculate


therefore, NM = x (true)
B: As NM = x therefore it can not be equal to
.
C: Using Pythagoras Theorem



It can also be proved using trigonometric relation


As, 
Therefore

D and E:
Using same approach similar to part A
Since, LN = x and NM = x
we can calculate


Therefore,
and not equal to 
<em>x =1/3</em>
- Step-by-step explanation:
<em>25ˣ⁺¹ = 125/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³/5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>
<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>
<em>2(x + 1) = 3 - x</em>
<em>2x + 2 = 3 - x</em>
<em>2x + x = 3 - 2</em>
<em>3x = 1</em>
<em>x = 1/3</em>