Answer:
C) x = 20.8
Step-by-step explanation:
Since the line with the length equal to 6 forms a right angle on line x then we know it is perpendicular and bisects it.
Plug in the values: a^2 + b^2 = c^2
a^2 + 6^2 = 12^2
a^2 + 36 = 144
a^2 + 36 - 36 = 144 - 36
a^2 = 108
√a^2 = √108
a = √108
a = 10.3923048454
a = 1/2 x
2a = x
2(10.3923048454) = x
x = 20.7846096908
x = 20.8
The arithmetic sequence general formula is an = a1 + d *(n-1) where d is the arithmetic difference and n is an integer. In this case, upon derivation, the formula that represents the sum of the series is S = (a1 + an)*(n/2). Substituting, S = (3+75)*(10/2) equal to 390
Answer:
The area of the rectangular coral = 2,976 ft²
Step-by-step explanation:
Bryce has 220 ft of fencing to fence a rectangular coral.
Let the dimensions of the corral be x ft. × y ft.
One side of the coral is 48 ft. long
A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.
Total length of material for fencing = 220 ft.
Hence the perimeter of the reef = 220 ft.
2x + 2y = 220
And one length of the rectangular coral = x = 48 ft.
We can solve for the remaining dimension of the rectangular coral this way.
2(48) + 2y = 220
2y = 220 - 96 = 124
y = (124/2) = 62 ft.
Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²
Hope this Helps!!!
Answer:
180 Vertical angles are opposite angles that share only a vertex. Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.
This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.
