find the value of $x$ given the image below.

a $x = 7$
b $x = 3$
c $x = 5$
d $x = 6$

Question

find the value of $x$ given the image below.

a $x = 7$
b $x = 3$
c $x = 5$
d $x = 6$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Geometric Segment Solving", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Geometric Segment Solving", "Linear Equations", "Segment Addition Postulate" ] } ## Set up the segment addition equation $$ GH + HF = GF $$ $$ 3x + 19 = 28 $$ ## Solve for x $$ 3x = 28 - 19 $$ $$ 3x = 9 $$ $$ x = 3 $$

(A) $x = 7$

(B) $x = 3$

(C) $x = 5$

(D) $x = 6$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Geometric Segment Solving" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the segment addition equation

Solve for x

Answer: