Angle MON= 58
Step-by-step explanation:
MON+LOM=LON
(2×+33)+(3×+20)=113
5×+53=113
5x=60
x=12
Solve MON by plugging in the x value
MON=2(12)+33
MON=24+33
MON=58
Hope this helps =W= nya

6 0

2 years ago

Which part of the graph best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ –1?

Lady bird [3.3K]

<span>The part of the graph that best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ –1 is Part C.</span>

8 0

4 years ago

Solve the system of equations using substitution<br> 4x + 2y = 16<br> =−12+5

mario62 [17]

Answer:

$x=\frac{70}{11},\:y=\frac{20}{11}$

Step-by-step explanation:

$\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}$

$\mathrm{Substitute\:}y=-\frac{1}{2}x+5$

$\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

$Simplify$

$\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

Isolate x for 3x+10=16(-1/2x+5): $x=\frac{70}{11}$

$\mathrm{For\:}y=-\frac{1}{2}x+5$

$\mathrm{Substitute\:}x=\frac{70}{11}$

$y=-\frac{1}{2}\cdot \frac{70}{11}+5$

$-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}$

$y=\frac{20}{11}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=\frac{70}{11},\:y=\frac{20}{11}$

3 0

3 years ago