Each of the equations can be solved as shown below:
a. 
(<em>addition property of equality</em>)
(<em>Subtraction property of equality</em>)
<em> (Division property of equality)</em>
<em />
b. 
<em>Add like terms </em>
<em />
(<em>Subtraction property of equality</em>)
<em> (Subtraction property of equality)</em>
<em />
<em> (Division property of equality)</em>
<em />
c. 
d. 
<em>The value of x in each </em><em>equation</em><em> are:</em>
<em />
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P(B) = 0.75.
For independent events, P(A and B) = P(A)*P(B). This gives us
1/8 = 1/6(x)
Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
6/8 = x
3/4 = x
0.75 = x
The scale factor is About 1.077. It is important to know how to Find scale factor to understand how much smaller is the object from the other, it helps in Construction and architecture mainly but it helps with other things too.
The total surface area of a regular tetrahedron is calculated through the equation,
SA = (sqrt 3) x a²
Substituting the known value,
SA = (sqrt 3) x (10 cm)² = 173.20 cm²
Its volume is obtained by,
V = ((sqrt 2)/ 12) x a³
V = ((sqrt 2) / 12) x (10 cm)³ = 117.85 cm³
Thus, its surface area and volume are 173.20 cm² and 117.85 cm³, respectively.
