Using the defects method, which relationship represents the Law of Cosines if the measure of the included angle between the sides a and b of ΔABC is less <span>than 90°?
</span><span>C) area of square c2 = area of square a2 + area of square b2 − area of defect1 − area of defect2
</span>
I'm really not familiar with this subject area but I have encountered this problem before and this answer was confirmed.
Here we go ~
[ add 2 on both sides ]
[ form identity : a² + b² + 2ab ]
[ a² + b² + 2ab = (a + b)² ]
so, the value of required expression is 6
[usually positive value is considered, but if asked the value can be either positive or negative]
Answer:
The total amount of sugar used=2/3 of a cup
Step-by-step explanation:
The expression for the total amount of sugar used for the cake is;
T=S+O
where;
T=total amount of sugar
S=amount initially added
O=amount sprinkled over the top
This expression can also be written as;
Total amount of sugar=amount initially added+amount sprinkled over the top
In our case;
S=3/6 cup
O=1/6
replacing;
T=(3/6)+(1/6)=4/6 in its lowest form=2/3
The total amount of sugar used=2/3 of a cup
3x-6 = 7x +1
7x-3x= -(6+1)
4x=-7
x= -7/4
