Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is <em>arithmetic </em>(a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form 
, where 
is the term number and 
is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that
and hence 
. Therefore, the 30th term of the sequence is 
.
Answer:
11.7
Step-by-step explanation:
If I'm understanding the problem correctly, the vendor sells water in exactly 8 oz increments, but only has glasses that can hold 6 oz or 10 oz.
Fill up the 10 oz glass, then (carefully) pour its contents into a 6 oz glass until it it is full. Then the 10 oz glass should contain 4 oz of water. Drink the 4 oz, repeat this process to get your 8 oz, and pay the man.
Answer:
x = 58°
Step-by-step explanation:
ABCD is a cyclic quadrilateral and opposite angles are supplementary , so
∠ DAB = 180° - 121° = 59°
The angle between a tangent and a chord is equal to the angle in the alternate segment, then
∠ ABD = 63° , thus
x = 180° - (59 + 63)° = 180° - 122° = 58°
