Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,

56x = (18√14)²
56x = 4536
x = 
x = 81
2). By applying geometric mean theorem,

16x = (8√21)²
16x = 1344
x = 
x = 84
Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:

<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
The purchasing price of the store = $29.25.
They want to resale it at 54% markup of the purchasing price.
54% of 29.25 = 0.54 × 29.25.
On multiplying 0.54 and 29.25, we get 15.795.
Resale price = The purchasing price + Markup
= 29.25 + 15.795.
On adding 29.25 and 15.795, we get 45.045.
We can round it to 45 to the nearest dollar.
<h3>Therefore, the resale price to the nearest dollar is $45.</h3>
15 is the answer hope this helps