Answer:
All those canbe expressed in the form of p/q, where q≠0 are rational
clearly A is rational
now 0.62 =62/100=31/50----its also rational
and 0.6 =6/10=3/5--- it's also rational
0.6π =(3/5)π, 3/5 is rational but π is irrational so overall it's irrational!
A,B&C are rational!
✌️:)
Answer:
7) No
8) Yes
Step-by-step explanation:
Tangent lines are perpendicular to the radius lines at the point of intersection. So we just need to check if these are right triangles.
7) c² = a² + b²
20² = 12² + 14²
400 = 340
No
8) c² = a² + b²
13² = 7.8² + 10.4²
169 = 169
Yes
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.
Answer:
yes, idk if thats the answer you are looking for though
