Given:
JK is tangent to a circle with center H
To find:
The length of HK.
Solution:
The image is attached below.
JK = 8 mi, HJ = 15 mi
JK is tangent to a circle.
The tangent is always perpendicular to the radius.
Therefore, m∠J = 90°
Using Pythagoras theorem:
HK² = JK² + HJ²
HK² = 8² + 15²
HK² = 64 + 225
HK² = 289
HK² = 17²
Taking square root on both sides.
HK = 17
The length of HK is 17 mi.
The answer is:
(Option 1).
(Option 4).
(Option 5).
The explanation for this answer is shown below:
1. The commutative property of addtion establishes that if you change the order of the addends, the sum will not change.
2. Let's say that and
are real numbers, Then they can added them to obtain a result
:
3. If you change the order, you will obtain the same result:
4. Therefore, the only options that show the applicaction of this property, are the options shown above.