we know that
in the right triangle of the figure
Applying the Pythagorean Theorem
therefore
the answer is the option
C) 
<em>40</em>
- Step-by-step explanation:
<em>2 + 10 = 24</em>
<em>2(2 + 10) = 2×12 = 24</em>
<em>3 + 6 = 27</em>
<em>3(3 + 6) = 3×9 = 27</em>
<em>7 + 2 = 63</em>
<em>7(7 + 2) = 7×9 = 63</em>
<em>5 + 3 = 40</em>
<em>5(5 + 3) = 5×8 = 40</em>
The cheetah runs 2 meters/sec faster than the gazelle. Eventually the cheetah will overcome the gazelle. Since distance = rate times time, time = distance/rate.
Thus,
300 meters / (2 meters/sec) = 150 sec = 2 min 30 sec
<span>Simplifying
2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms:
20 + -26x = 60 + -34x
Solving
20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation.
20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x
20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0
20 + 8x = 60 + 0
20 + 8x = 60
Add '-20' to each side of the equation.
20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0
0 + 8x = 60 + -20
8x = 60 + -20
Combine like terms: 60 + -20 = 40
8x = 40
Divide each side by '8'.
x = 5
Simplifying
x = 5</span>
