For a cyclic quadrilateral
The opposite angles are supplementary (meaning they sum up to 180 °)
I.e (x +20) ° + 3x ° =180 °
20 + 4x = 180
4x=180 - 20
4x = 160
Divide through by 4
x = 40 °
Angle at point A
(2x + 38) = (2(40) + 38) = 118 °
Angle at point B
3x = 3(40) = 120 °
Angle at point D
x + 20 = 40 + 20 = 60 °
Angle at point C
The total angle in a quadrilateral is 360 °
I.e 118 + 120 + 298 +
1) 6.6 * 3.3 = 21.78
2) (10^ - 2 )*(10^ - 4) = 10 ^ ( -2 - 4) = 10 ^ - 6
3) result: 21.78 * 10 ^ - 6
4) to convert to standard form run the period on space to the lef and multiply the ten base by 10 =>
2.178 * 10 ^ - 5
Answer: 2.178 * 10 ^ - 5
He worked on the car for 4 hours. 35+7+7+7+7=63.
Initial charge charged by the Singer A = $50
Hourly charge of Singer A = $20
Initial amount charged by Singer B = $100
Hourly rate charged by Singer B = $10
Let us assume the time after which both singers will charge the smae amount of money = x
Then
50 + 20x = 100 + 10x
20x -10x = 100 - 50
10x = 50
x = 50/10
= 5
So after 5 hours both Singer A and Singer B will charge the same amount of money. I hope the procedure is clear to you and you can attempt such problems in future without needing any kind of help.
