Answer:
<h2>x = -2, y = 1</h2>
Step-by-step explanation:
given the system of equations y=1/2x+2 and y=-2x+-3, since the 2 equations are functions of y, we will equate both equations together and calculate the value of x as shown
1/2x+2 = -2x-3
x/2+2x = -3-2
5x/2 = -5
5x = -10
x = -10/5
x = -2
Substituting x = -2 into any of the equation to get the value of y we have;
y = -2(-2)-3
y = 4-3
y = 1
The solution to the system of equation (x, y) = (-2, 1)
Answer:
x=12
Step-by-step explanation:
4x - 20 = -2 ( -3x + 22 )
4x-20=6x-44
24=2x
x=12
The polygon have 59 sides.
Solution:
Sum of the measure of interior angle of the polygon = 10260°
Interior angle theorem of polygon,
<em>The sum of measure of interior angles of a polygon is (n – 2) × 180°.</em>
By this theorem,
(n – 2) × 180° = 10260°
Divide by 180° on both sides.


Add 2 on both sides, we get
n – 2 + 2 = 57 + 2
n = 59
Hence the polygon have 59 sides.
Answer:
10y = 13x + 139
Step-by-step explanation:
Points (-5, -3) and (-15, -16) are the two points through which Line 1 passes.
So, the slope of the line 1 is 
Now, the slope of the parallel straight line i.e. line 2 will be same as line 1 i.e. 
Let us assume that the equation of line 2 is
{Where c is a constant} ....... (1)
Now, line 2 passes through the point (-13, 17). Hence, this point will satisfy equation (1).
So, 
⇒ 
Therefore, the equation of line 2 will be

⇒ 10y = 13x + 139 (Answer)