Answer:
1. 11
2.9
3.16
4.8
5.i didnt understood that
Answer:
x = 55°
Step-by-step explanation:
The sum of the angles in a triangle is 180°.
x + 75 + 50 = 180
x + 125 = 180
x = 55
Therefore, x = 55°.
Answer:

Step-by-step explanation:
ΔJKL ~ ΔMNP
So, the sides of both of the triangles are proportional.
Taking proportionality of their sides.

=> 
Cross Multiplying
20 * 30 = 25(4x-4)
600 = 100x - 100
Adding 100 to both sides
600+100 = 120x
700 = 100x
Dividing both sides by 100
700/100 = x
x = 7
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25
Replace FGHIJ with ABCDE
<ABC = <FGH = 117
<BCD = <GHI = 90
<DEA = <IJF = 90
<CDE = <HIJ = 127