While preparing for a party, Luis spent 25 minutes blowing up 10 balloons. Write an equation to express how many minutes it took
2 answers:
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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.
Answer:
Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.
2) Multiply both sides by 3.
Simplify 4 × 3 to 12.
4) Add 10 to both sides.
5) Simplify -12 + 10 to -2.
So, therefor, the answer is, x = -2.