Hello,
Answer D
1) if 4x+2>0 then |4x+2|=4x+2
==> 4x+2<26
==>4x<24
==>x<6
2) if 4x+2<0 then |4x+2|=-(4x+2)=-4x-2
==>-4x-2<26
==>-4x<28
==>x>-7
thus -7<x<6
Amount of potatoes that Zoe has = 5 pounds
Quantity of potatoes that Zoe need for each recipe = 5/(3/4)
= 5 * (4/3)
= 20/3
= 6 2/3
From the above deduction, we can conclude that only 6 recipes can be made. The remaining amount of 2/3 will remain unused. I hope the procedure is clear enough for you to understand.
The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°.
Therefore,
45° + 62° + k = 180
107° + k = 180
k = 73°
The value of k is 73°