N= 66°
k= 29°
All triangles add up to 180 so that’s how i got those
The correct answer is 31. I did it incorrectly the first time, but the answer is 31. :-) Thanks Olivia!
<span>The equation that can be used is 90-10y=5x. In order to get this answer, you first start with figuring out how many miles total were hiked for each trail. The 5-mile mountain trail total would be equal to 5x and the 10-mile canal trail total would be 10y. Adding both of these totals together would give you 90 miles and an equation of 5x+10y=90. All you do now is rearrange the equation by subtracting 10y from each side and you get 90-10y=5x.</span>
Answer: x = 5, y = -1
<u>Step-by-step explanation:</u>
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
<em>I chose to eliminate y.</em> The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> <u> 6x - 10y</u> = <u>40 </u>
26x = 130
<u> ÷26 </u> <u>÷26 </u>
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
<u> -20 </u> <u>-20 </u>
2y = -2
<u> ÷2 </u> <u> ÷2 </u>
y = -1
<h3>−2x + 14 = 12</h3>
<em>Subtract</em><em> 14 </em><em>from both sides.</em>
<h3>−2x = 12 − 14</h3>
<em>Subtract </em><em>14</em><em> from </em><em>12 </em><em>to get </em><em>−2.</em>
<h3>−2x = −2</h3>
<em>Divide both sides by</em><em> −2.</em>
<h3>x= -2/-2</h3>
<em>Divide </em><em>−2</em><em> by </em><em>−2</em><em> to get 1.</em>
<h3>x = 1</h3>
<h2>Skandar</h2>
