Answer:
Given: 
, y =6
To prove: x =7
On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.
or
42 = 8x -14 ......[1]
Addition Property of equality states that you add the same number to both sides of an equation.
Add 14 to both sides in equation [1];
42+14 =8x -14+14
Simplify:
56 = 8x
or
8x =56 ......[2]
Division Property of equality states that you divide the same number to both sides of an equation.
Divide by 8 to both sides of an equation [2];
Simplify:
x =7 Hence proved!
A two Column proof:
Statement Reason
1. 7y = 8x -14 Given
y= 6
2. 7(6) = 8x -14 Substitution property
3. 42+14 = 8x Addition property of equality
4. 56 =8x Simplify
5. x =7 Division Property of equality
Given that the number rolled is odd, it can be 1, 3, or 5 = 3 possibilities.
Only one of the possibilities is success . . . rolling a 3 .
So the probability of success is 1/3 = 33 and 1/3 percent .
52x because there are approximately 52 weeks in a year.
Answer:
<h2><em><u>The</u></em><em><u> </u></em><em><u>sun</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>e</u></em><em><u>arth's</u></em><em><u> </u></em><em><u>interior</u></em><em><u> </u></em></h2>
Step-by-step explanation:
As,
The Earth has two basic sources of energy -
- <em><u>Earth's</u></em><em><u> </u></em><em><u>I</u></em><em><u>n</u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>i</u></em><em><u>o</u></em><em><u>r</u></em><em><u>-</u></em><em><u> </u></em>hat reaching the Earth from the Sun (Solar Energy) and that reaching the surface of the Earth the Earth itself <em><u>(Internal or Geothermal Energy). </u></em>
- <em><u>Solar Energy</u></em> - reaches the Earth in the form of radiant energy, and makes up 99.987% of the energy received by the Earth.
