Answer:
The two angles are 25.5 and 114.5
Step-by-step explanation:
<u><em>x = measure of one angle
</em></u>
<u><em>5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}
</em></u>
<u><em>
x + 5x - 13 = 140 {sum of the two angles is 140}
</em></u>
<u><em>6x - 13 = 140 {combined like terms}
</em></u>
<u><em>
6x = 153 {added 13 to each side}
</em></u>
<u><em>x = 25.5 {divided each side by 6}
</em></u>
<u><em>5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}</em></u>
<u><em /></u>
Answer:
A-a rectangle with two 12-ft sides and two 2-ft sides
Step-by-step explanation:
Got it right on edge
3+16=19,
3+20=23
So the correct answer would be 19 and 23
Answer:
An example of a quadratic equation is:

Step-by-step explanation:
This answer follows the standard form for a quadratic equation:

To solve this equation you do the following:
x^2 + 5x + 6 =0
The factors that can be added to get *5* and multiplied to get *6* are 3 & 2.
Therefore the new equation would be:
x^2 +3x + 2x + 6 = 0
<em>group the terms</em>: (x^2 +3x) (+2x + 6) = 0
<em>factorize</em><em>:</em><em> </em>x (x + 3) 2 (x + 3) = 0
<em>therefore</em><em>:</em><em> </em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>2</em><em>)</em><em> </em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>3</em><em>)</em><em> </em><em>=</em><em>0</em>
<em>x</em><em> </em><em>=</em><em> </em><em>-1</em><em> </em><em> </em><em>x</em><em> </em><em>=</em><em>-3</em>