Let the three consecutive integers be x , x+1 ,x+2
Given, sum of three consecutive integers = -126
x +x+1+ x+2 = -126
3x +3 = -126
3x = -126 -3
3x = -129
x = -129/3
x = - 43
x +1 = -42
x +2 = -41
Answer:
Step-by-step explanation:
See attachment for the figure
Volume of pyramid can be defined as
V = 1/3 x area of the base x height.
-> Pyramid A:
Volume of Pyramid can be determined by:
V = 1/3 x (2.6cm)² x (2cm) = 4.5067 cm³
Pyramid B:
Volume of Pyramid can be determined by:
V = 1/3 x (2cm)² x (2.5cm) = 3.3333 cm³
Difference b/w two oblique pyramids: 4.5067 cm³ - 3.333 cm³ = 1.17 cm³
By Rounding the volumes to the nearest tenth of a centimeter
1.17cm³ ≈ 1.2cm³
Therefore, the difference of the volumes of the two oblique pyramids is 1.2cm³
Y = -2x +8
y = x-1
y=y
-2x+8 = x-1
-3x = -1 -8
-3x = -9
3x = 9
x = 3
Answer:
x = 11
Step-by-step explanation:
69° + (2x - 1)° = 90° (complementary angles)
69 + 2x + 1 = 90
Add like terms
69 - 1 + 2x = 90
68 + 2x = 90
Subtract 68 from each side
68 + 2x - 68 = 90 - 68
2x = 22
Divide both sides by 2
2x/2 = 22/2
x = 11