C 39.99 adding it all together
Answer: 150
Step-by-step explanation:
To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d
From the question,
First term = a = 4
12th term = 31.5
We need to get the common difference which will be:
Since 12th term = 31.5
a + (n - 1)d = 31.5
a + (12 - 1)d = 31.5
a + 11d = 31.5
Recall that a = 4
4 + 11d = 31.5.
11d = 31.5 - 4
11d = 27.5
d = 27.5 / 11
d = 2.5
Since last term is 376.5, the number of terms in it will be calculated as:
a + (n - 1)d = 376.5
4 + (n - 1)2.5 = 376.5
4 + 2.5n - 2.5 = 376.5
2.5n = 376.5 - 4 + 2.5
2.5n = 375
n = 375 / 2.5
n = 150
The number of terms in the series is 150.
x = 7
∠ABD = ∠CBD = 20 ( BD bisects ∠ABC )
solve either 3x - 1 = 20 or 34 - 2x = 20
3x - 1 = 20 ( add 1 to both sides and divide by 3 )
3x = 21 ⇒ x = 7
OR
34 - 2x = 20 ( subtract 34 from both sides and divide by - 2 )
- 2x = - 14 ⇒ x = 7
Answer:
meadian because 30 is a very lange outlier
Step-by-step explanation:
Cause 5+3+8, 8+3=11 11+3=14, so 14+3=17 17+3=20, 20+3=23 23+3=26 26+3=29 29+3=32
so its 5, 8, 11, 14, 17, 20, 23, 26, 29, 32
so the answer is 32