The following can be deduced from the expressions
m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12
Please note that the sum of angles in a triangle is 180 degress. Therefore,
M∠ A + m ∠ B + m ∠ D = 180equation(3)
Substitute for equation 1 and 2 in equation 3 as shown below
m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0
Substitute for m∠A= 24 in equation 1 and 2 as shown below
m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0
,
∠= °
∠= °
∠= °
Answer:
Step-by-step explanation:
I assume your equation to solve is
When we have a product of two factors equal to zero,
The solution is either A = 0 or B = 0.
In this case, this means that we can break the equation into two equations:
Solving the first one, we get:
For the second one, we rewrite it as:
And we see that this equation has two solutions:
Therefore, the three solutions are:
Answer:
5. 43 / 6
6. 8.027778
2. -0.167
4. 1.5
Step-by-step explanation:
5. Conversion a mixed number to a improper fraction: 9 2/3 = 9 · 3 + 2 /3 = 29/3
Conversion a mixed number to a improper fraction: 2 1/2 = 2 · 2 + 1 /2 = 5/2
Subtract: 29/3 - 5/2 = 29 · 2 / 3 · 2 - 5 · 3 / 2 · 3 = 58 / 6 - 15 / 6 = 58 - 15 / 6 = 43 / 6
6. 2 4/9 + 5 7/12 = 289 / 36 = 81 / 36 = 8.027778
2. 3/4 - 11/12 = -1 / 6 =-0.1666667
4. 1 9/10 - 2/5 = 3 / 2 = 11 / 2 = 1.5
X=1
The length of line DF is 18
Answer:
Step-by-step explanation:
72%
