Answer: attached image
Are the Triangle similar? Why or why not?
2 answers:
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9514 1404 393
Answer:
x < -2 or 3 < x
Step-by-step explanation:
<u>6x -4 > 14</u>
6x > 18 . . . . add 4
x > 3 . . . . . . divide by 6
<u>3x +10 < 4</u>
3x < -6 . . . . subtract 10
x < -2 . . . . . divide by 3
The solution is the union of disjoint sets:
x < -2 or x > 3
Based on the triangle sum theorem, exterior angle theorem, the true statements are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
<h3>What is the Triangle Sum Theorem and the Exterior Angle Theorem?</h3>According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.
Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.
∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.
In summary, the true statements about the diagram given are:
- m∠5 + m∠6 = 180°
- m∠2 + m∠3 = m∠6
- m∠2 + m∠3 + m∠5 = 180°
Learn more about the triangle sum theorem on:
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