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3 years ago

Help please for 40 points!! This is due tonight and i don’t know how to do it

Mathematics

1 answer:

Fofino [41]3 years ago

5 0

Answer:

x = -8

m∠BDC = 68°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up Equation

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

Step 2: Solve for x

Combine like terms: -15x + 60 = 180
Isolate x term: -15x = 120
Isolate x: x = -8

Step 3: Find m∠BDC

Define: m∠BDC = (-7x + 12)°
Substitute in x: m∠BDC = (-7(-8) + 12)°
Multiply: m∠BDC = (56 + 12)°
Add: m∠BDC = 68°

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