<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;

Substituting the values, we get;




Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE = 
Length of EC = 
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;



Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;


Thus, the length of DB is 46.
Answer:
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Step-by-step explanation:
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Her total hair length is 10.5 inches total
hope this helps
The volume of the sphere is 267. 95 cm³.
<h2>Given </h2>
The radius of the sphere is 4cm.
<h3>What is the volume of sphere?</h3>
The volume of a sphere is the three-dimensional space occupied by a sphere.
The volume of the sphere is determined by the following formula;

Where r is the radius of the sphere.
Substitute all the values in the formula;

Hence, the volume of the sphere is 267. 95 cm³.
To know more about Volume of Sphere click the link given below.
brainly.com/question/369459
Answer:
x = 12
Step-by-step explanation:
IMPORTANT: Both answers should add up to 180 if they dont you did it wrong!
(10x - 20) + (6x + 8 ) = 180 plug in 12 for both of them
(10 * 12 - 20) + 6 * 12 + 8) = 120
(120 - 20) + (72+ 8 ) = 180
(100) + (80) = 180
so x = 12
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