We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40
For x / 108 = 4/9
x = (4/9) * (108)
x = 48
For 7/11 = x / 121
x = (7/11) * (121)
x = 77
For x / 144 = 2/6
x = (2/6) * (144)
x = 48
The area of the triangle ABC is 81. 33 square units.
We have to determine
What is the area of triangle ABC?
<h3>
What is the formula for the area of a triangle?</h3>
The area of the triangle is determined by;

Where the value of s is = a + b + c= 12 + 14 + 16 = 42
Substitute all the values in the formula;

Hence, the area of the triangle ABC is 81. 33 square units.
To know more about the Area of the triangle click the link given below.
brainly.com/question/9299277

Let's do the bracket part first,
and solve further as shown,
Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴ 
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴ 
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴ ![x[log(9)+log(10)]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%289%29%2Blog%2810%29%5D%3D3log%283%29)
∵ log(10) = 1 , 9 = 3²
∴ ![x[log(3)^{2}+1]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%283%29%5E%7B2%7D%2B1%5D%3D3log%283%29)
∴
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244