Answer: Angle A = 120° and angle C = 45°
Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,
{12x + 12} + 15 + {3x + 18} = 180
12x + 12 + 15 + 3x + 18 = 180
By collecting like terms, we arrive at,
12x + 3x + 12 + 15 + 18 = 180
15x + 45 = 180
Subtract 45 from both sides of the equation
15x = 135
Divide both sides of the equation by 15
x = 9
At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.
Angle A = 12x + 12
= 12(9) + 12
= 108 + 12
= 120
Angle A = 120°
Angle C = 3x + 18
= 3(9) + 18
= 27 + 18
= 45
Angle C = 45°
Answer:
The height appear to be reported because there are disproportionately more 0s and 5s.
Step-by-step explanation:
Given the data :
0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 8 8 8 9
Creating a frequency table :
Last digit ______ Frequency
0 ______________ 9
1 _______________ 1
2 _______________1
3 _______________3
4 _______________ 1
5 _______________11
6 _______________ 1
8 _______________ 3
9 ________________1
From the frequency distribution table, it could be seen that the volumeof 5's and 0's are far more than the volume of the other digits. We could infer from this numbers were reported and not measured.
Substitute 6 for y: We get (2[6]-2)/x, or:
(12-2) / x. Now subst. 2 for x. We obtain 10/2, which equals 5 (answer)
