Answer:
7
Step-by-step explanation:
arithmetic sequence: aₙ = a₁ + (n-1)d
a₈ = (-5) + (8-1)d = 37
7d = 42
d = 6
a₃ = -5 + (3-1) x 6 = 7
Answer:
3rd angle of a triangle = x = 75°
Step-by-step explanation:
1st angle of a triangle = 50°
2nd angle of a triangle = 55°
3rd angle of a triangle = x = ?
We know that sum of three angle of triangle = 180°
1st angle of a triangle + 2nd angle of a triangle + 3rd angle of a triangle = 180°
50° + 55° + x = 180°
105° + x = 180°
x = 180° - 105°
x = 75°
3rd angle of a triangle = x = 75°
Answer:
you would grid 14 on the right of a number line since it is a positive number
Let x = the smaller number
Let 2x + 7 = the larger number
x + 2x + 7 = 25
3x = 18
x = 6
2x + 7 = 2(6) + 7 = 19
Answer:
Measure of side C is 7.14
Step-by-step explanation:
In this question, we are to find the length of the side C.
To get this, we are to employ the use of the cosine formula.
Mathematically, this is calculated as;
c^2 = a^2 +b^2 - 2ab*cos(C)
Where; a = 10 b = 3 and c = 15 degrees
Plugging these values into the equation, we have;
C^2 = 10^3 + 3^2 -2(3)(10)Cos 15
C^2 = 100 + 9 - 57.96
C^2 = 51.04
C = √(51.04)
C = 7.14