Answer:
32centimeters
Step-by-step explanation:
4 sides are in a sqaure and all of them are equal so
8 times 4 is 32
Answers:
1) Given
2) angle 2 ** see note below
3) angle 3 ** see note below
4) converse of alternate exterior angle theorem
note: you can swap the answers for 2 and 3 and it doesn't matter
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Explanations:
1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.
2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)
4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).
I attached a couple below pictures with all the work and a bit more information to help you understand the problem.
I hope this helps! If you have any questions, just comment them below :)
The future worth (F) of the current investment (P) given that the interest (i) is compounded can be calculated by the formula,
F = P x (1 + i)^n
where n is the number of years. Substituting the given values to solve for P,
1000 = P x (1 + 0.115)^6
The value of P is approximately $520.42.
