Answer/Step-by-step explanation:
1. ∠XVR = 180 - <XVW (angle on a straight line)
∠XVR = 180 - 55°
∠XVR = 125°
2. ∠RVS = <XVW (Vertical angles are congruent)
∠RVS = 55°
3. ∠WVS = ∠XVR (vertical angles are congruent)
∠WVS = 125°
4. ∠RST = <R + <RVS (exterior angle theorem)
<RST = 55 + 55
<RST = 110°
5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)
∠RSV = 180 - (55 + 55)
∠RSV = 70°
6. ∠VSU = <RST (vertical angles are congruent)
<VSU = 70°
7. ∠UST = <RSV (vertical angles)
<UST = 70°
8. ∠TUS = 180 - (<UST + <T) (sum of triangle)
<TUS = 180 - (70 + 71)
<TUS = 39°
$24 in 6 hours.
6 hours = $24
1 hour would be: $24/6 = $4
8 hours would then be: $4 * 8 = $32.
So he would make $32 in 8 hours.
Hope this explains it.
First, lets determine the regular price of his purchase :
16.99 (3) + 34.99 (3) + 52.99 (2) + 5.99 (5) = 50.97 + 104.97 + 105.98 + 29.95 = 291.87
Therefore, the regular price of his purchase is $291.87 before sales tax.
If he receives 25% off of his total purchase, then the price is now :
291.87 * .75 = $218.90
We multiply by 75% because we are only paying 75% of the total purchase price since we received a 25% discount.
The total savings is
291.87 - 218.90 = $72.97
If sales tax is 10%, the total purchase price after sales tax is :
218.90 * 1.10 = $240.79
The sales tax is $21.89 since
240.79 -218.90 = 21.89
If he pays with 3 $100 bills, we should receive :
300 - 240.79 = $59.21
in change.
