Step-by-step explanation:
the angle ABC = 180 - x, as ABD and ABC are complementary angles on top of the bottom line : all angles around a point on one side of a line are always adding up to 180 degrees.
but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say
180 = ACB + ABC + CAB
180 = y + 180 - x + CAB
0 = y - x + CAB
x = y + CAB
x - y = CAB
therefore, the second answer option is correct.
Answer:
a: 3
b. 6973568802
Step-by-step explanation:
a₁ = 6 , r = 3 , a₂₀ =?
Result:
a₂₀ = 6973568802
Explanation:
To find a₂₀ we use the formula
aₙ = a₁ · r
^ⁿ⁻¹
In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above
formula, we obtain:
aₙ = a₁ · r
^ⁿ⁻¹
a₂₀ = 6 · 3
^²⁰⁻¹
a₂₀ = 6 · 1162261467
a₂₀ = 6973568802
The answer is 16
Refer image for working :-
Drop comments if any doubt arises.
Answer:
QS = 8x - 2
Step-by-step explanation:
QS = QR + RS
QS = 6x - 11 + 2x + 9
QS = 8x - 2