Question

A ladder shelf is a shelf that leans against a wall like a ladder. The image shows a side view of a ladder shelf. There are three parallel shelves supported by a brace. The brace acts like a transversal. Write an expression for m/DCF in terms of x.​

Answer 1

180-x

Explanation:

by the corrosponding angles theorem converse, (it states consecutive angles two parallel lines cut by a tranversal is equal to 180)

Answer 2

The expression for m/DCF in terms of x is m/DCF = tan(x).

In this scenario, we have a ladder shelf leaning against a wall-like a ladder. The brace acts like a transversal and there are three parallel shelves supported by the brace. We want to find an expression for m/DCF in terms of x.

Given that m/DCF represents the inclination of the ladder shelf, we can use trigonometry to express this in terms of x.

Since the ladder shelf is leaning against the wall, we can use the tangent function. Therefore, the expression for m/DCF in terms of x would be: m/DCF = tan(x).