Answer:
see explanation
Step-by-step explanation:
The 2 angles form a right angle, thus their sum is 90°, hence
4x + 7 + 35 = 90
4x + 42 = 90 ( subtract 42 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
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To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
m =
=
= 4
The lock has 3 different cylinders that can take up to 70 possible numbers. The possible combination of each cylinder would be 70!
The order of cylinder would be important because the password on 1st cylinder can't be used on cylinder 2. The calculation would be:
possible lock combination= 1st cylinder possible combination* 2nd cylinder possible combination * 3rd cylinder possible combination
possible lock combination= 70!*70!*70!
36 inches are in one yard.
1 yard * 3 feet * 12 inches.
3*12 = 36