Answer:
The correct option is 1.
Step-by-step explanation:
Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.
In triangle MNO and triangle RTS.
(Given)
(Given)
According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.

Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.
The triangle are congruent by AA rule of similarity. Each triangle has two congruent angles, therefore both triangles are similar. Option 1 is correct.
Answer:
2 units of X and 5 units of Y
Step-by-step explanation:
(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)
This condition holds for the following cases
1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)
2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)
For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).
In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).
Optimal case contains X = 2 units, Y = 5 units.
You will need to multiply 2.25 by 375.5 which will then give you 844.87 but if we round it the answer will be 844.9
Answer:
The answer is $1.85
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- The cost of 5 chocolate bars = $5.75
- The cost of 2 chocolate bars and 3 packets of sweets = $7.85
<h3>
<u>To </u><u>Find</u>;</h3>
- The cost of one packet of sweets.
Now, we know that the cost of 5 chocolate bars are $5.75.
For 1 chocolate bar
5.75 ÷ 5 = $1.15
Here, we get the price of 1 chocolate bar
So, the cost of 2 chocolate bars and 3 packets of sweets are $7.85.
2 × chocolate bar = 2 × (1.15) = $2.3
Now, we want to find only the cost of one packet of sweets.
So,
7.85 – 2.3 = $5.55
3 packets of sweets cost $5.55
For 1 packets of sweets
5.55 ÷ 3 = $1.85
Thus, The cost of one packet of sweets = $1.85
Answer:
The mode would be 2 because it has the higher amount of x's
I hope this is helpful
Step-by-step explanation: