Answer:
5029
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14
This indicates the sequence is arithmetic with sum to n term
= [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 215 and d = 14 , then
= [ (2 × - 215) + (46 × 14) ]
= 23.5 (- 430 + 644)
= 23.5 × 214
= 5029
Answer:
x<40
Step-by-step explanation:
x+10<50
x+10-10<50-10
x<40
Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
Answer:
The larger of the two angles is x, which is 75. y is the smaller angle at 15.
Step-by-step explanation:
In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.
x + y = 90
x + (1/5x) = 90
1.2x = 90
x = 75
Now we can plug that value into either equation to find y
y = 1/5x
y = 1/5(75)
y = 15
