Answer:
Sₙ = 57/2 * (504 + 896) = 39900
Step-by-step explanation:
first multiple of 7 after 500 is: 72 *7 = 504
last multiple of 7 before 900 is: 128 *7 = 896
a₁ = 504
aₙ = 896
where n = 128-72 +1 = 57
sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)
Sₙ = 57/2 * (504 + 896) = 39900
Answer:
D and E
Step-by-step explanation:
27 and 50 are greater than 20. The scale factor is more than 1, so the answer(s) have to be more than 1.
z° = 80° (Being corresponding angles)
y° + 80° = 180° (Being linear pair of angles)
=> y° = 180° - 80°
=> y° = 100°
x° = y° (Being interior opposite angles)
=> x° = 100°
Answer:
|x + 6| = 2
Step-by-step explanation:
|x - b| = c
b is the centre: (-4-8)/2 = -6
b = -6
c is the distance from the centre
-6 - (-8) = -6 + 8 = 2
Or,
-4 - (-6) = -4 + 6 = 2
| x - (-6)| = 2
|x + 6| = 2
