Answer:
6x + -12 = 3x + 9
Reorder the terms:
-12 + 6x = 3x + 9
Reorder the terms:
-12 + 6x = 9 + 3x
Solving
-12 + 6x = 9 + 3x
Step-by-step explanation:
12 + 6x = 9 + 3x
-12 + 6x = 9 + 3x
-12 + 6x + -3x = 9 + 3x + -3x
6x + -3x = 3x
-12 + 3x = 9 + 3x + -3x
3x + -3x = 0
-12 + 3x = 9 + 0
-12 + 3x = 9
-12 + 12 + 3x = 9 + 12
-12 + 12 = 0
0 + 3x = 9 + 12
3x = 9 + 12
9 + 12 = 21
3x = 21
Divide each side by 3
x = 7
Answer:
p = 32.32; A = 47.91
Step-by-step explanation:
1. Calculate ∠B
∠A + ∠B + ∠C = 180°
60° + ∠B + 45° = 180°
∠B + 105° = 180°
∠B = 75°
2. Find sides BC and AC
We can use the Law of Sines

(i) Find BC

(ii) Find AC

3. Find the perimeter
p = AB + AC + BC = 9 + 12.29 + 11.02 = 32.32
4. Find the area of the triangle
A general formula for the area of a triangle is
A = ½ab sinC
If we use ∠A, the formula becomes
A = ½ × 9 × 12.29 × sin60° = 55.30 × 0.8660 = 47.91
Answer:
(a) is False (b) is true (c) is true
Step-by-step explanation: