Answer:
13) Angle A is 30°
14) Angle A is 45°
15) Angle A is 40°
16) Angle A is 40.5°
Step-by-step explanation:
By the angle sum theorem for the interior angles of a triangle, we have;
13) 130° + 2·x + 3·x = 180°
∴ 2·x + 3·x = 180° - 130° = 50°
2·x + 3·x = 5·x = 50°
x = 50°/5 = 10°
∠A = 3·x = 3 × 10° = 30°
∠A = 30°
14) 3·x + 9 + 4·x + 9 + 78° = 180°
7·x + 18 + 78° = 180°
7·x = 180° - (18 + 78)° = 180° - 96° = 84°
x = 84°/7 = 12°
∠A = 3·x + 9 = 3 × 12° + 9 = 45°
∠A = 45°
15) 90° + x + 51 + x + 61 = 180°
∴ x + 51 + x + 61 = 180° - 90° = 90°
2·x + 112 = 90°
2·x = (90 - 112)° = -22°
x = -22°/2 = -11°
x = -11°
∠A = x + 51 = -11° + 51 = 40°
∠A = 40°
16) x + 79 + x + 49 + 70° = 180°
x + x = (180 - 70 - 79 - 48)° = -17°
2·x = -17°
x = -17°/2 = -8.5°
x = -8.5°
∠A = x + 49 = (-8.5 + 49)° = 40.5°
∠A = 40.5°.
Answer:
First one.
Step-by-step explanation:
0.3/3=0.1 ==> 0.1$ per meter
0.77/7 ==> 0.11$ per meter
The first option is cheaper, therefore better to buy if you agree with "the cheaper. the better".
Answer:
Oerhaps 17.3333 miles, see assumption below
Step-by-step explanation:
There are no units for 52. 52 m/sec? 52 feet/min?, 52 mph?
Once we have the units for the 52, convert the 20 minutes to the same unit as in the speed unit, hours in this case. I'll assume miles/hour for the speed here. So convert 20 minutes into hours: (1 hr/60min)*(20 minutes) = (1/3) hour.
Now multiply by the 52 mph:
(52 miles/hr)*(1/3 hour) = (52/3) miles or 17.33 miles
I think the answer is x= 33, -7
