180 is the least common multiple.
1/5
1/10 / 1/2= 2/10
Then simplify it by 2, it becomes D.1/5
The Greates Common Factor (GCF) is: 1
Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
The correct option about the proof is C. Both Amanda and Stephen are correct.
<h3>How to illustrate the information?</h3>
It should be noted that both Amanda and Stephan are correct as they are taking two different pairs of supplementary angles.
Amanda's proof is that he takes (∠1 and ∠4) and (∠3 and ∠4)as the supplementary angles and writes ∠1 + ∠4 = 180° and ∠3 + ∠4 = 180°,
Stephan's proof is that he takes (∠1 and ∠2) and (∠3 and ∠4) as the <em>supplementary</em> angle pair.
Therefore, the correct option is C.
Learn more about proof on:
brainly.com/question/1788884
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