Answer:
∠1 = 90°
∠2 = 66°
∠3 = 24°
∠4 = 24°
Step-by-step explanation:
Usually the diagonals of a rhombus bisect each other at right angles.
Thus; ∠1 = 90°
Since they bisect at right angles, then;
∠R1S = 90°
Now, sum of angles in a triangle is 180°
Thus;
66° + 90° + ∠4 = 180°
156 + ∠4 = 180
∠4 = 180 - 156
∠4 = 24°
Now, also in rhombus, diagonals bisect opposite angles.
Thus; ∠4 = ∠3
Thus, ∠3 = 24°
Similarly, the diagonal from R to T bisects both angles into 2 equal parts.
Thus; ∠2 = 66°
The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40
show me a example please
Step-by-step explanation:
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Answer:
288
Step-by-step explanation:
<em> Number of rectangles</em>
<em>____________________________________________________________</em>
1 × 1 squares 9-1 = 1 = 8*8 = 64
1 × 2 squares 9-2 = 7 = 8*7 = 56
1 × 3 squares 9-3 = 6 = 8*6 = 48
1 × 4 squares 9-4 = 5 = 8*5 = 40
1 × 5 squares 9-5 = 4 = 8*4 =32
1 × 6 squares 9-6 = 3 = 8*3 = 24
1 × 7 squares 9-7 = 2 = 8*2 = 16
1 × 8 squares 9-8 = 1 = 8*1 = 8
64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288
<em>Thus,</em>
<em>the number of squares on a chessboard is 228.</em>
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<em>Hope this helps :)</em>