wireless keyboard sold = x
regular keyboard sold = 3x
105x + 84(3x) = 4998
105x + 252x = 4998
357x - 4998
x = 14 <============ Number of wireless keyboard
3x = 3(14) = 42 <============ Number of regular keyboard
Check the picture attached.
let m(VTI)= m(ITU)=a and let m(VUI)= m(IUT)=b
Then, in triangle TUV:
2a+2b+c=180°
2(a+b)+c=180°
c=180°-2(a+b)
In triangle TUI:
a+b+109°=180°
a+b=180°-109°=71°
substitute in c=180°-2(a+b):
c=180°-2(a+b)=180°-2*71°=180°-142°=38°
Answer:she had $63.75 at first.
Step-by-step explanation:
Let x represent the amount of money that she had at first.
kathy spent 3 fifths of her money on a necklace. This means that the amount of money that she spent on the necklace is
3/5 × x = 3x/5
The amount of money remaining would be
x - 3x/5 = 2x/5
She used 2 thirds of the remainder on a bracelet. This means that the amount of money that she spent on the bracelet is 2/3 × 2x/5 = 4x/15
If the bracelet costs $17.00, then
4x/15 = 17
4x = 15 × 17
4x = 255
x = 225/4
x = 63.75
Subtract 4 from both sides: -3x = -27
Divide by -3 on both sides: x = 9
x = 9
Diameter= 9
Radius= 4.5
Area= radius*radius* pi
Area= 4.5*4.5*3.14
Area= 63.585 square inches