If a triangle GHI is classified as right triangle, which statement is true? (5 points)
2 answers:
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Answer:
Since they both have the same slope, they are <em>Parallel</em>.
Step-by-step explanation:
We will have to calculate slope for this equation using this formula:
For line 1 our points are:
(-3,-1) and (2,4)
Substitute:
The slope for the first line is 1.
For line 2 our points are:
(2,-6) and (7,-1)
Substitute:
The slope for this equation is 1.
For these lines to be parallel, they would need their slopes to be the same.
For these lines to be perpendicular, they would need to be opposite reciprocals.
Since they both have the same slope, they are <em>Parallel</em>.
Let the Number of Dozens of Eggs in First Crate be : D
Given : The Shopkeeper Buys the First Crate Eggs at $1.50 per Dozen
⇒ The Cost of 'D' Dozens of Eggs in First Crate = D × 1.5 = 1.5D
Given : The Second Crate Contains 3 Dozens more than First Crate
⇒ The Number of Dozens of Eggs in Second Crate = D + 3
Given : The Shopkeeper Buys Second Crate at $2 per Dozen
⇒ The Cost of '(D + 3)' Dozens of Eggs in Second Crate = 2 × (D + 3)
⇒ The Total Dollars spend by Shopkeeper on Both Crates :
⇒ 1.5D + 2(D + 3) = 1.5D + 2D + 6 = 3.5D + 6
⇒ The Total Dollars spend by Shopkeeper on Both Crates = 3.5D + 6
Given : He sells all the Dozens at $2.5 per Dozen
⇒ The Money got by him selling all Dozens of Eggs = (D + D + 3) × 2.5
Given : By selling all the Dozens at $2.5 per Dozen, he makes $15 Profit
⇒ By subtracting the Profit from the Money he got, we get the Cost Price
⇒ The Money spent by Shopkeeper : {(2D + 3) × 2.5} - 15
Equating both Values of Money spent by Shopkeeper we get :
⇒ {(2D + 3) × 2.5} - 15 = 3.5D + 6
⇒ {5D + 7.5} - 15 = 3.5D + 6
⇒ 5D - 7.5 = 3.5D + 6
⇒ 1.5D = 13.5
⇒
⇒ Number of Dozens of Eggs in First Crate : D = 9
⇒ Number of Dozens of Eggs in Second Crate : D + 3 = (9 + 3) = 12