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Question 1:
For that point where all the lines intersect to be an incenter, the following must be true
4x - 1 = 6x - 5
Subtract both sides by 6x
-2x -1 = -5
Add both sides by 1
-2x = -4
Divide both sides by -2
x= 2
Question 2:
Plug in x=2 into any of the two equations.
You get 7.
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Answer:
Whitney made 6 baskets
Step-by-step explanation:
Let the number of baskets made by Whitney be x.
The 15 baskets made by
Chiyann is equal to 2 times plus 3 what Whitney made
Mathematically what she made would be 2x + 3
To get x, we equate this equation to 15
2x + 3 = 15
2x = 12
x = 12/2
x = 6 baskets
Answer:
V = 115.3 ft³
Step-by-step explanation:
The left part of the figure shows a cube of side length 4.2 ft. The volume of a cube is V = s³, where s is the side length. Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.
The volume of a pyramid is V = (1/3)(base area)(height).
Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.
Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or
V = 115.3 ft³ after rounding up to the nearest tenth.
The value of 3ab+5b-5 is 18
