In the diagram, the length of segment bc is 23 units. what is the length of segment dc? 3 units 8 units 13 units 33 units

based on the drawing  both sides are the same length

 so knowing BC = 23 you need to find the value of x  and put it in the formula for the side

23=2x+7

16 = 2x

x=8

4x+1 = 4(8)+1 = 33 units

The length of segment DC is 33 unit.

Step-by-step explanation:

As given

The length of segment BC is 23 units.

As given in the figure .

AB = 2x + 7

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

Put x = 8

AD = 4 × 8 + 1

      = 32 + 1

    = 33 unit

Thus AD = DC = 13 unit

Therefore the length of segment DC is 33 unit.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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step-by-step explanation: