Answer:
Step-by-step explanation:
14 - If you add all she spent such as (1.95,30.00,7.50) then add it to what she has left over. You get $77.65
16- (63 x 2)+63+6=195
Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
Answer:
a. 18 b. 119°, 118°
Step-by-step explanation:
a. Given angles are vertical, so they are equal.
6a+11 = 2a+83
6a-2a = 83-11
4a = 72
a = 72/4
a = 18
b. Substituting the value of a in the given angles,
6a+11 = 6*18+11 = 108+11 = 119°
2a+83 = 2*18+83 = 36+83 = 118°
