Step 1: Subtract 63 from both sides.<span><span><span><span><span>x2</span>−<span>14x</span></span>+31</span>−63</span>=<span>63−63</span></span><span><span><span><span>x2</span>−<span>14x</span></span>−32</span>=0</span>Step 2: Factor left side of equation.<span><span><span>(<span>x+2</span>)</span><span>(<span>x−16</span>)</span></span>=0</span>Step 3: Set factors equal to 0.<span><span><span>x+2</span>=<span><span><span>0<span> or </span></span>x</span>−16</span></span>=0</span><span><span>x=<span>−<span><span>2<span> or </span></span>x</span></span></span>=16</span>Answer:<span><span>x=<span>−<span><span>2<span> or </span></span>x</span></span></span>=<span>16</span></span>
Vertically opposite angles are always equal.
Given angles are (8x+12)° and (3x+37)°
=> (8x+12)° = (3x + 37)°
=> 8x - 3x = 37-12
=> 5x = 25
=> x = 25/5 = 5°
Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°
Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
If A=Aiden’s weight and J=Jacob’s weight, so A=J-39 or J=A+39.
J>100 so A+39>100, and A>61 pounds.
A+J>>61+100, A+J>>161. Or, A+J=2J-39=2A+39>161.
If A=62, J=101, so A+J=163 pounds.
Therefore we can say their combined weights will 161 pounds, and 163 pounds would be a typical weight.
Range is the y-values.
So the y-values are: {1,2,3,4}
