<span>In triangle WXZ,
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
Now, in any triangle, the sum of all the three angles is 180.
In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.
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.
Answer:
No, it is NOT a function.
Step-by-step explanation:
A functions' inputs are assigned to exactly one output.
We are given the points:
{(8,2) (4,-3) (6,4) (8,1)}
The input of 8 is repeating.
The given relation is not a function.
Hope this helps!
Answer:
6041.666.....
Step-by-step explanation:
We have: 725 : 12% = 6041.6666.....
Answer:
The score is 66
Step-by-step explanation:
Say the unknown score is x
Average = Total score/no of occurrence
78 = (x + 76 + 74 + 76 + 80 + 83 + 91)/7
78 × 7 = x + 76 + 74 + 76 + 80 + 83 + 91
546 = x + 480
546 - 480 = x
66 = x
∴ x = 66