Answer:
Step-by-step explanation:
Note that ∠TSU and ∠PSR are vertical angles. Hence:
∠PSR is the sum of ∠PSQ and ∠QSR. Hence:
We know that ∠TSU measures 4<em>x</em> and ∠QSR measures 3<em>x</em>. Thus:
Solve for ∠PSQ:
Next, ∠PQS and ∠RQS form a linear pair. Thus:
∠RQS measures 68°. Thus:
Solve for ∠PQS:
The interior angles of a triangle must total 180°. So, for ΔPQS:
Substitute in the known values:
Simplify:
And divide. Hence:
Answer:
The price after the discount but before the tax is $21
Step-by-step explanation:
Here, we are told there is a price off of 40% on an item that costs $35.
What we want to calculate is the value of what the price would be before the tax
We proceed by finding 40% of $35
Mathematically, that would be;
40/100 * 35 = $14
The price of the item before the tax is thus;
35-14 = $21
Answer:
This is a 30-60-90 right triangle.
<u>The ratio of sides:</u>
<u>Compare with the given values:</u>
- a = 3√3, b = y, c = x
- y = 3√3*√3 = 9
- x = 2*3√3 = 6√3
Answer:
11488
Step-by-step explanation:
234 × 97 = 22698
22698 ÷ 2 = 11349
11349 + 139 = 11488
