What is the value of x to the nearest tenth?
4.7
3.3
8.0
9.5
![What is the value of x to the nearest tenth 47 33 80 95 class=](https://us-static.z-dn.net/files/dcf/bdecebda7a960fde7bc49df101255f61.png)
Answer:
4.7
Step-by-step explanation:
The segment marked x connects the midpoints of the chord and the diameter, so is the unknown leg of a right triangle with hypotenuse 16/2=8 and leg 6.5.
The Pythagorean theorem tells you ...
x² + 6.5² = 8²
x = √(64 -42.25) ≈ 4.664 ≈ 4.7