24.2x3x(x + 12)(2x + 4)Sum of angle measures: 360°
1 answer:
Given the following angles:
2x
3x
(x + 12)
(2x + 4)
We know the sum of angle measures 360 degrees.
Thus, we have:
2x + 3x + x + 12 + 2x + 4 = 360
Let's solve for x:
Collect like terms
2x + 3x + x + 2x + 12 + 4 = 360
8x + 16 = 360
Subtract 16 from both sides:
8x + 16 - 16 = 360 - 16
8x = 344
Divide both sides by 8:
Therefore, the value of x is 43
ANSWER:
x = 43
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Answer:
vertex: (2,-18)
Step-by-step explanation:
y = ax² + bx + c
(-1,0) : a - b + c = 0 ...(1)
(5,0) : 25a +5b +c = 0 ...(2)
(0,-10): 0a + 0b + c = -10 c=-10
(1) x5: 5a - 5b + 5c = 0 ...(3)
(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2
(1): 2 - b -10 = 0 b = -8
Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18
equation: y = a(x-h)²+k (h,k): vertex
vertex: (2,-18)
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3
