Answer:
1-2x>13
Step-by-step explanation:
1-2x>13
-2x>13-1
-2x>12
x>-12/2
x<-6
Answer: The answer is 144.
Step-by-step explanation: Let 'a' be the first term and 'd' be the common difference of the given arithmetic progression (A.P.).
According to the given information, A.P. is {0, 4, 8, 12, 16, . . .}, i.e., a=0 and d=4.
The sum of first n terms is given by
So, the sum of first 9 terms is
Thus, the required sum is 144.
Answer:
(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Step-by-step explanation:
The lateral faces of the building are the 4 sides of the building consisting:
2 rectangles of 120 ft by 80 ft
Area of the two rectangular faces = (2)(120)(80)
And
2 rectangles of 120 ft by 50 ft
Area of the two rectangular faces = (2)(120)(50)
✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)
Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.
Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building
Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)
✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Answer: 
Step-by-step explanation:
Given: ∠H ≅∠L and line HJ congruent to Line JL.
Since, In triangles HIJ and LKJ,
∠H ≅ ∠L
HJ ≅ JL
And, ∠HJI ≅ ∠ LJK
Therefore, By ASA postulate,
Δ HIJ ≅ Δ LKJ
This is why Option first is correct.
Note: Option third ΔHIJ≅ΔJKL is not correct,
Because, HI≠JK
