Answer:
6x+5
Step-by-step explanation:
2x+4x =6x
10-5=5
6x+5
Answer: The correct option is (C). an exterior angle.
Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.
Let ABC be a triangle as shown in the attached figure.
∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.
Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.
∠ACD is called the exterior angle of ΔABC.
Therefore, the newly created angle is an exterior angle.
Thus, option (C) is correct.
Answer:
Step-by-step explanation:
let's break down 2,000,000 into its multiples,
Multiples of 2,000,000= 2⁷ × 5⁶
Using above values to find different combinations of length(l) and breadth (b) of rectangle and corresponding parameter of rectangle
- l=5, b=400,000 ,parameter= 2(5) + 2(400,000)= 800,010, total length of fence required= parameter+ side with shortest length= 800,015
- l=2 b=1,000,000 parameter= 2,000,004, shortest fence required= 2,000,008
- l=4, b= 500,000 parameter= 1,000,008, shortest fence required= 1,000,012
- From above, we can see a trend that the parameter of rectangle decreases if length and breadth are increased provided that area is constant. So, a rectangle will have shortest parameter if all of its sides are equal.
- length of side of rectangle with shortest possible parameter= 2^3 ×5^3= 1000 and breadth of side of rectangle with shortest possible parameter= 2^4× 5^3=2000
- Shortest possible length of fence= 2(2000)+2(1000)+1000=7000ft
