Answer:
x = 3
Step-by-step explanation:
We can tell the two pictured angles are equal because they have the red lines showing they are equal. Because of this we can set up the following equation and solve
(for your info, all numbers without x in the steps have °, but for the sake of time left them out)
<em>(equation)</em> 2x + 5 = 7x - 10
<em>(subtracting 2x from both sides & adding 10 to both sides)</em> 15 = 5x
<em>(dividing both sides by 5) </em>3 = x
Hope this helps, have a nice day :D
1 7/17+ 2 11/12
it only asked for an expression, in other words, write what you see
First denominator -- x
<span>first numerator ---- x-2 </span>
<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>
<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>
<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>
<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>
<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>
<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>
Answer:
2y + y/x + 2
Step-by-step explanation:
is the answer.....