20 inches
283838383838382828 + 83838383888282ab
1 answer:
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Answer: x = 20.
Step-by-step explanation:
x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines.
Right angles are 90 degrees, so you can add both angles to get 90:
Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that 
. This yields 
which yields s^2=2x+7, hence a) is the correct answer.
which yields s^2=2x+7, hence a) is the correct answer.