A builder is building a rectangular deck with dimensions of 16 feet by 30 feet. To ensure that the sides form 90° angles, what should each
diagonal measure?

Each diagonal should measure 34 feet to ensure that the sides form 90°

Step-by-step explanation:

The relation between the diagonal of the rectangle and its length and width is D = ⇒ Pythagoras Theorem

∵ A builder is building a rectangular deck with dimensions of 16 feet

   by  30 feet

∴ L = 16 feet

∴ W = 30 feet

→ By using the Pythagoras Theorem above to find its diagonal

∵ D =

∴ D =

∴ D =

∴ D = 34 feet

→ The diagonals of the rectangle are equal

∴ The length of each diagonal of the rectangle = 34 feet

Each diagonal should measure 34 feet to ensure that the sides form 90°

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a