Question

3x + 67 + 4x + 50 = 180

Answer 1

X=9

Explanation:

3x + 67 + 4x + 50 = 180

7x+117=180

7x=63

x=9

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CHECK

3(9)+67+4(9)+50=180

27+67+36+50=180

180=180

Answer 2

m∠DBC = 86°

Explanation:

Find the variable, x. First, combine like terms. Like terms are terms with the same amount of the same variable:

3x + 4x + 67 + 50 = 180

(7x) + (117) = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis,

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

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First, subtract 117 from both sides of the equation:

7x + 117 (-117) = 180 (-117)

7x = 180 - 117

7x = 63

Next, divide 7 from both sides of the equation:

(7x)/7 = (63)/7

x = 63/7 = 9

x = 9

Next, plug in 9 for x in the angle DBC:

m∠DBC = 4x + 50

= 4(9) + 50

= 36 + 50

= 86°

m∠DBC = 86°