Answer: (2) p=67 and q=15
Step-by-step explanation:
If you 82 and 31 together you would get 113 and you know that a triangle equals 180° so you take 180-113 and you get 67. You do the same for the other triangle you take a 98° and the new angle which is 67 and add them together and you get 165 so then you get 180 which is your overall triangle degree and subtract 165 from it and you get 15 which is Q, angle Q equals 15°
so 24cm out of 300 cm is spliced
24/300 is the fraction
we can simplify this by dividing top and bottom by 3 to get
8/100
we can divide top and bottom by 4 to get
2/25 is the most simplified fraction
Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
If a line passes through two points
and
, then the equation of line is

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is




All area above the solid line is shaded. It means the sign of inequality is ≥.

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is




All area below the dashed line is shaded. It means the sign of inequality is <.

System of inequality is


Therefore, the correct option is D.
<span>1. </span><span>4x –y = 8, the point (-4, 3)
Let’s say y = 0
=> 4x – 8
=> 4x / 4 = 8 /4
=> x = 2
So the point is (2 , 0).
Now, we have 2 forms, the (2,0) and the (-4, 3)
=> (y2 – y1)(x2 – x1) = m
=> m = (0 - 3)(2-(-4))
=> m = (0 - 3)(2+4)
=> m = (-3)(6)
=> m = -1/2
Thus,
y = -1/2x + a
=> 0 = -1 + a so a = 1
y = -x/2 + 1</span>