Which of the following is the value of x to the nearest tenth? -2.8 -4.2 -4.8 -6.9 Question Which of the following is the value of x to the nearest tenth? -2.8 -4.2 -4.8 -6.9 in progress 0 All 7 months 2022-04-20T20:51:53+00:00 2022-04-20T20:51:53+00:00 1 Answer 0

## Answers ( 1 )

The correct answer is 4.8.

This forms a right triangle, so we will use the Pythagorean theorem. The radius x forms one leg of the triangle; 14 is the other leg; and (x+10) forms the hypotenuse:

xu00b2+14u00b2=(x+10)u00b2

xu00b2+196=(x+10)(x+10)

xu00b2+196=x*x+10*x+10*x+10*10

xu00b2+196=xu00b2+10x+10x+100

xu00b2+196=xu00b2+20x+100

Subtract xu00b2 from both sides:

xu00b2+196-xu00b2=xu00b2+20x+100-xu00b2

196=20x+100

Subtract 100 from both sides:

196-100 = 20x+100-100

96=20x

Divide both sides by 20:

96/20 = 20x/20

4.8 = x