Given: AB || DC ∠A ≅ ∠D

Prove: ΔABC ≅ ΔDCB

Triangles A B C and D C B share common side C B. Angles C D B and C A B are congruent. Sides C D and A B are parallel.
Isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. What statement and reason could she have used?

∠ABC ≅ ∠BAC; corresponding angles of parallel lines are congruent.
∠CAB ≅ ∠DCB; alternate interior angles of parallel lines are congruent
∠ABC ≅ ∠DCB; alternate interior angles of parallel lines are congruent
∠ACD ≅ ∠ABD; corresponding angles of parallel lines are congruent.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

answer: dead jah

step-by-step explanation:

bullet + jah= dead jah

the answer is 62.8 cubic units

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: