To solve the equation [tex]\(0.9 \times 0.9 = 0.2 \times x\)[/tex], follow these steps:
1. Start by simplifying the left side of the equation:
[tex]\[
0.9 \times 0.9 = 0.81
\][/tex]
2. Now the equation is:
[tex]\[
0.81 = 0.2 \times x
\][/tex]
3. To solve for [tex]\(x\)[/tex], isolate [tex]\(x\)[/tex] by dividing both sides of the equation by 0.2:
[tex]\[
x = \frac{0.81}{0.2}
\][/tex]
4. Perform the division:
[tex]\[
x = 4.05
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is 4.05. Since none of the provided options match this value directly, it seems there might be a miscalculation in the options given. None of the answers A, B, C, or D match the correct result of [tex]\(x = 4.05\)[/tex].
