this triangle is equilateral.
find the value of z.
(10z + 4)
(8z + 14)
(z = ?)

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Equilateral Triangle Properties" ], "current_concepts": [ "Equilateral Triangle Properties", "Linear Equations" ] } ## Set up the equation using equilateral triangle properties $$ 10z + 4 = 8z + 14 $$ ## Solve for z $$ \begin{aligned} 2z + 4 &= 14 \ 2z &= 10 \ z &= 5 \end{aligned} $$ This triangle is equilateral. Find the value of z. $z =$ 5 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Equilateral Triangle Properties" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the equation using equilateral triangle properties

Solve for z

Answer: