Answer:
55% on the internet and 45% on video games
Step-by-step explanation:
Together Gary spends 11 + 9 = 20 hours during the week on the internet and on video games. This means of the total per week he spends 11/20 on the internet or 55%. This also means of the total per week he spends 9/20 or 45% of his free time on video games.
Answer:
B
Step-by-step explanation:
Close to equator, hotter and more humid. Alaska not near equator.
Answer:
8
Step-by-step explanation:
To find the discriminant, we need to get the equation in standard form
9x^2+2=10x^2
Subtract 10x^2 from each side
9x^2-10x^2+2=10x^2-10x^2
-x^2 +2 =0
This is in the form ax^2+bx +c =0
where a=-1 b=0 and c=2
The discriminant is
b^2 -4ac
0^2 -4*(-1)*2
0+8
The discriminant is 8
Answer:
664434444455667765433344455576
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.