x > -1
-2x+5 < 7
-2x<2
Now since you divide by (-1) to get positive 2,you need to flip the sign
(-2)/(-1)= 2 2/(-1)=-2
SO
2x>-2
x > -1
To check the solution do not replace the x by -1 because it shouls be more than -1 (You can choose 0,1,2,3....)
Example choose x=3
-2x3+5<7
-6+5<7
-1<7
You can have 8, 20lb bags of sand plus the balloon pilot
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
3.5r.....................