In ΔABC shown below, Line segment AB is congruent to Line segment BC : Triangle ABC, where sides AB and CB are congruent

Given: line segment AB ≅ line segment BC

Prove: The base angles of an isosceles triangle are congruent.

The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent:

Statement Reason

1. segment BD is an angle bisector of ∠ABC. 1. by Construction

2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector

3. 3. Reflexive Property

4. ΔABD ≅ ΔCBD 4. Side-Angle-Side (SAS) Postulate

5. ∠BAC ≅ ∠BCA 5. CPCTC

Which statement can be used to fill in the numbered blank space? (4 points)

a

Line segment BD ≅ Line segment AC

b

Line segment BD ≅ Line segment BD

c

Line segment AC≅ Line segment AC

d

Line segment AD≅ Line segment DC

250

step-by-step explanation:

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction

well if he bought them at 5 cedis each sold them at 7 cedis each then he would make a profit of 2 cedis of each book. if in total he made 150 cedis profit that means he sold 75 books. he lost 12 books at the start so that means he originally bought a total of 82 books.

step-by-step explanation:

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81