To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.
Then we will assign a variable to represent the value and also shift the repeating segment to the left.
Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;


you can verify that using your calculator.
∠1 and ∠8 are alternate exterior angles while ∠3 and ∠6 are alternate interior angles.
step-by-step explanation:
When transversal l intersects lines m and n, the angles formed outside each line on the opposite side of the transversal constitute alternate angles (like ∠1 and ∠8). In contrast, alternate interior angles appear on opposite sides but are located between the two lines (like ∠3 and ∠6).
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Keywords: Transversal, angles
Jason can confirm the accuracy of his solution by substituting the calculated x value back into the original equation to check if it holds true. If the equality fails, it indicates that his calculated x is incorrect.
Answer:
The value equals 1
Step-by-step explanation:
Consider the expression

Recall that


For two complementary angles A and B (where A+B=90°),
the identity is
cos(A) = sin(B)
Here, 26° and 64° are complementary angles, so

Substituting values,


From this, we find

By substitution,
