The sum of complementary angles is 90 degrees, thus
3x + 6 + 3x + 18 = 90
=> 6x + 24 = 90
=> 6x = 90 - 24 = 66
=> x = 66 / 6 = 11
=> m<A = 3(11) + 6 = 33 + 6 = 39 degrees.
Answer:
A. The graph has two zeroes.
Step-by-step explanation:
A <em>zero of a polynomial</em> is a value of x that makes the polynomial equal to zero.
In other words, it is <em>an x-intercept</em>.
The graph crosses the x-axis twice, so there are two zeroes.
Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume 
and prove 
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
Answer:
4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.
Answer=8
Step-by-step explanation:
