We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:
2(5y – 2) = 12 + 6y
In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:
a(b + c) = ab + ac
a(b – c) = ab – ac
In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:
2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4
In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.
The student first made an error in Step 2, and the correct step is:
Step 2: 10y – 4 = 12 + 6y
I hope this helps!
Answer: 10
Step-by-step explanation:
Angles x and 64 deg are "complementary," so x+64=90, and x= 26 deg.
Answer:
6.8 inches
Step-by-step explanation:
Given data :
m∠ A = 53° , m∠ C = 84° , side a = 8 inches
therefor m ∠ B = ( 180 - (84 + 53 )) = 43°
<u>Find the length of side b </u>
we will apply sine rule here

=
= 
∴ b = ( sin43° * 8 ) / sin53°
= ( 0.6819 * 8 ) / 0.7986
= 5.4552 / 0.7986 = 6.83 ≈ 6.8 inches