Triangle ABC with segment BD where point D is between points C and A, BC equals x, BD equals y, CD equals w, DA equals z, and BA equals v What expression represents the value of x?

x equals the square root of quantity w times the sum of w plus z end quantity

x equals the square root of quantity z times the sum of w plus z end quantity

x equals the square root of quantity w times y end quantity

x equals the square root of quantity w times z end quantity

The correct option is

x equals the square root of w times the sum of w plus z end quantity

Step-by-step explanation:

The parameters given are

ABC = Right triangle, with ∠B = 90° and CA = Hypotenuse = CD + DA

∴ CA = w + z

BA = v

Hence;

x² = (w + z)² - v²

Where:

v² = z² + y²

∴ x² = (w + z)² - (z² + y²)

x² = w² + 2·w·z + z² - z² - y²

x² = w² + 2·w·z - y²

Where:

y² = x² - w²

We have;

x² = w² + 2·w·z - (x² - w²)

x² = w² + 2·w·z - x² + w²

Which gives;

2·x² = 2·w² + 2·w·z

Removing the common factors, we have;

x² = w² + w·z

The correct option is x equals the square root of w times the sum of w plus z end quantity.

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.

the answer is  

a.

28 ft2

step-by-step explanation: