Step-by-step explanation:
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Answer:
Please see the attached pictures for full solution.
I can only give possible combination of the ages. Had the sum of the ages been given, then the 3 specific numbers would have been derived.
We need to do prime factorization of 72.
72 ÷ 2 = 36
36 ÷ 2= 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 1 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72
Possible combinations:
1 x 8 x 9 = 72 1 + 8 + 9 = 18
1 x 4 x 18 = 72 1 + 4 + 18 = 23
2 x 4 x 9 = 72 2 + 4 + 9 = 15
3 x 4 x 6 = 72 3 + 4 + 6 = 13
Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon =
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A =
A = 120°
Similarly, interior angle of the regular pentagon,
B =
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D =
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
Answer:
x^2(squared) +2x+1
Step-by-step explanation: