Answer: Angle C = 51.5°
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo.
we would apply the law of Cosines which is expressed as
c² = a² + b² - 2bcCosC
Where a,b and c are the length of each side of the triangle and C is the angle corresponding to c.
Therefore,
18² = 23² + 14² - 2(23 × 14)CosC
324 = 529 + 196 - 2(322)CosC
324 = 725 - 644CosC
644CosC = 725 - 324
644CosC = 401
CosC = 401/644
CosC = 0.623
C = Cos^- 1(0.623)
C = 51.5° to the nearest tenth
Option 1. and option 4.
are equivalent to
Step-by-step explanation:
Step 1:
The given expression is expanded as follows.
The -2 is multiplied with the 5x and then the -2 is multiplied with the .
So the expression becomes as follows;
This is the first option given so the first expression is equivalent.
Step 2:
Of the other four options, only the fourth expression has the fraction so the fourth expression is also equivalent.
Expressions 1 and 4 are equivalent to the given expression.