If mzABD = 100° and mZDBC = 30°,
then mZABC = [? ]°

 130°

Step-by-step explanation:

∠ABD = 100° (given)

∠DBC = 30° (given)

Angle Addition Postulate states: ∠ABD + ∠DBC = ∠ABC

                                                         100°  +    30°  = ∠ABC

                                                                 130°        = ∠ABC

130°

Step-by-step explanation:

Given: m<ABD=100° and m<DBC=30°

To find m<ABC, we must add up the two other angles.

100°+30°=130°

Hope this helped :D

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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