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:
8√0.2
Step-by-step explanation:
using Pythagoras Therom
(68)^2 = (60)^2 + (x)^2
4624 = 3600 + x^2
4624/3600 = x^2
1.28 = x^2
√1.28 = x
x = 8√0.02
Step-by-step explanation:
to compare day 1 with day 2 :
100% = 8
1% = 100%/100
25% = 25×1% = 100% × 25/100 = 8 × 1/4 = 2
so, on day 2 he walks 8+2 = 10 laps.
on day 3 he walks then 10-1 = 9 laps.
so, now, to calculate the % decrease compared to day 2
100% = 10
1% = 100%/100 = 0.1
how many % is represented by this 1 lap he was walking less ?
1 / 1% = 1 / 0.1 = 10%
so he had a 10% decrease from day 2 to day 3.
Answer:
Step-by-step explanation:
Given that,
Mass of a certain material, m = 71 pounds
Since, 1 ton = 2000 pounds
71 pounds = 0.0355 ton
Volume of the material, V = 2.5 gallons
Since, 1 m³ = 264.172 gallon
2.5 gallon = (2.5/264.172 ) m³
Density,
Answer:uh
Step-by-step explanation: