Answer:
x = 4
Step-by-step explanation:
<em>To solve, we need to isolate </em><em>x</em><em>.</em>
<em>Start by moving the </em><em>20</em><em> to the other side by subtracting it from both sides.</em>
2x = 8
<em>Since </em><em>x</em><em> is being multiplied by </em><em>2</em><em>, we need to </em><u><em>divide</em></u><em> both sides by </em><em>2</em><em> to move it to the other side.</em>
x = 4
A right triangle is a type of triangle which contains a right triangle. To be a right triangle, it should satisfy the Pythagorean Theorem which relates the three sides of the triangle. In this triangle, the longest side is called as the hypotenuse. To determine the hypotenuse, we use the Pythagorean Theorem which is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse
We calculate as follows:
c^2 = a^2 + b^2
c^2 = 6^2 + 5^2
c^2 = 61
c = √61
Therefore, the hypotenuse of the right triangle with sides 6 and 5 would be √61 which, clearly, is longer than the two sides.
Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.
.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37
23 quarters
37 dimes
23* .25 = 5.75
37 * .1 = 3.70
5.75 + 3.70 =9.45
ALL LINES CAN BE REPRESENTED IN THE FORM 
.
We know that:
and
Observe that:
So:
But we know that 
, so:
Since:
So the line is:
