using the pythagorean theorem
a^2+b^2 = c^2 where c is the hypotenuse
9^2 +12^2 = x^2
81 + 144 = x^2
225 = x^2
taking the square root of each side
sqrt(225) = x
15 =x
x = 15 inches
Step-by-step explanation:
2(x-3)=5(x-3)+10
=> 2x - 6 = 5x - 15 + 10
=> -6 + 15 -10 = 5x - 2x
=> 5x -2x = 15 - 6 - 10
=> 3x = 15 - 16
=> 3x = -1
Answer: x = 9, 5
<u>Step-by-step explanation:</u>
4 | x - 7 | + 2 | x - 7 | = 12
6 | x - 7 | = 12 <em>added like terms</em>
| x - 7 | = 2 <em>divided both sides by 6</em>
x - 7 = 2 or x - 7 = -2 <em>removed absolute value sign</em>
x = 9 or x = 5 <em>added 7 to both sides of both equations</em>
Answer:
Step-by-step explanation:
Your answer is 6
Answer:
V = 3
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Perimeter of the pentagon is 52 units.</em>
<em>Solve for value of v.</em>
<u>Solve:</u>
<em>Let first put it into a equation base on the given;</em>
<em>6v + 8 + 8 + 3v + 1 + v + 5 = 52</em>
<em>Add the numbers</em>
<em>6v + 22 + 3v + v = 52</em>
<em>Combine like terms</em>
<em>10v + 22 = 52</em>
<em>Subtract 22 from both sides</em>
<em>10v + 22 - 22 = 52 - 22</em>
<em>Simplify</em>
<em>10v = 30</em>
<em>Divide both sides by 10</em>
<em>10v/10 = 30/10</em>
<em>Simplify</em>
<em>v = 3 </em>
<em>Check Answer:</em>
<em>6(3) + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 16 + 9 + 1 + 8</em>
<em>18 + 16 + 9 + 9</em>
<em>18 + 16 + 18</em>
<em>36 + 16</em>
<em>52</em>
<em>Hence, v = 3</em>
For more information:
brainly.com/question/18640399
<u><em>Kavinsky</em></u>
