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:
Savings per can would be 0.02 cents when purchased in lots.
Step-by-step explanation:
Given:
Ordinary price of soup 2 cans = 0.33 cents.
When purchases in lots 12 cans = 1.74
We need to find the saving per can when purchased in Lots.
Solution:
Ordinary price of soup 2 cans = 0.33 cents.
1 can = Cost of 1 can when purchased ordinary.
By Using Unitary method we get;
Cost of 1 can when purchased ordinary = 
Now we will find the Cost of 1 can when purchased in lot.
12 cans = 1.74
1 can = Cost of 1 can when purchase in lot.
Again by using Unitary method we get;
Cost of 1 can when purchase in lot = 
Savings = Cost of 1 can when purchase in lot - Cost of 1 can when purchased ordinary
Savings = 
Hence Savings per can would be 0.02 cents when purchased in lots.
Answer:
the cost will be Rs 350
Step-by-step explanation:
The Scateboard cost Rs 450 each in the local store,The shop keeper says if I buy 1 I can buy another for only
of the normal price. We are asked to determine the cost of a second scateboard .
Hence the cost will be
of the normal cost that is


the cost will be Rs 350
(x+y=31)2
2x-y=11
2x+2y=62
- 2x -y=11
3y=51
y=17
x+17=31
x=14
y-x=3