Line segment DB is an angle bisector of ∠ADC. Which statement best describes the relationship between the triangle ABD and CBD? a.) Triangles ABD and CBD are congruent by the SSS Congruence Postulate.
b.) Triangles ABD and CBD are similar by the SSS Similarity Postulate.
c.) Triangles ABD and CBD are congruent by the SAS Congruence Postulate.
d.) Triangles ABD and CBD are similar by the SAS Similarity Postulate.

c.) Triangles ABD and CBD are congruent by the SAS Congruence Postulate.

Step-by-step explanation:

Line segment DB divides <ADC into two congruent angles. That is:

<ADB is congruent to <CDB

Segment DB of ∆ABD is congruent to segment DB of ∆CBD.

Also, Segment AD of ∆ABD is congruent to segment CD of ∆CBD.

This means two sides (DB and AD) and an included angle (<ADB) of ∆ABD are congruent to the corresponding two sides (DB and CD) and included angle (<CDB) of ∆CBD.

Therefore, by the SAS Congruence Postulate, ∆ABD is congruent to ∆CBD.

18/157

Step-by-step explanation

The key to solving this problem is to find the greatest common divisor of 72 and 628.

To find the greatest common divisor of 72 and 628, we list all of the factors of both numbers so we can compare the lists.

When we compared the factors of 72 (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72) and 628 (1, 2, 4, 157, 314, 628) we found that 4 is the largest factor that they have in common.

Since 4 is the largest common factor of 72 and 628, 4 is also the greatest common divisor of 72 and 628.

Now, we divide both the numerator and denominator in 72/628 by the greatest common divisor as follows:

Numerator: 72/4 = 18

Denominator: 628/4 = 157

Then, we put the numerator and denominator that we are left with back together to get our answer. 72/628 to the simplest form is: 18/157