Answer:
The length of the missing segment is 24
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
Cross Multiply
Open bracket
Subtract 15x from both sides
Divide both sides by 5
Hence, the length of the missing segment is 24
ANSWER
EXPLANATION
Given information
The sum of the two numbers is 76
The larger number is 16 more than 2 times the smaller number
Let the two numbers be x and y
x ----> Larger number
y ----> smaller number
To find the value of x and y, follow the steps the below
Step 1: Write the algebraic expressions for the statement given
The sum of the two numbers is 72
Mathematically, this can be expressed as
Also, the larger number is 16 more than twice