In the diagram, the length of segment BC is 23 units,
What is the length of segment DC?
13 units
18 units
33 units
46 units
22 +7

The length of segment DC 33 units.

Step-by-step explanation:

Given:

The length of segment BC is 23 units.

To find:

Length of segment DC=?

Solution:

AB = 2x + 7

From the figure ,AB = BC

2x + 7 = 23

2x = 23 - 7

2x = 16

x = 8

In the Δ ABD and ΔCBD

(1) AB = BC(As given in the figure.)

(2) ∠DBA = ∠DBC = 90°

(3) BD = BD(Common side of both the triangle.)

Thus by using SAS congurence property .

Δ ABD ≅ ΔCBD

Thus AD = DC(Corresponding sides of the congurent triangle.)

Thus AD = 4x + 1

Substituting  x = 8

AD =

AD = 32 + 1

AD    = 33 unit

Thus AD = DC = 33 unit

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: