Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by
To find (the common difference) we can simply subtract one of the terms by the last, for example:
The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:
We also have to know that stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term
Good luck!
Answer:
No, it isn't.
Step-by-step explanation:
We have and let
be the subset of
of all points on the line
We need to find if is a subspace of the vector space
.
In all the possibilities for own subspace of the vector space
are :
We know that is the subset of
of all points on the line
If we look at the equation, the point doesn't verify it because :
Which is an absurd. Therefore, doesn't contain the origin (and
is a line in
). Finally, it can't be a vector space of
Given: ∠JNL and ∠MNK are vertical angles and m∠MNK=90°
Prove: ∠JNL is a right angle.
Statements Reasons
1. ∠JNL and ∠MNK are vertical angles. Given
2. Vertical angle theorem
3. Angle congruence postulate
4. Given
5. <u> Substitution Property of Equality</u>
Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.
Therefore,
6. ∠JNL is a right angle. Definition of right angle