You can use the properties of exponents in three ways: Products of Power and Power to Power
Explanation:
Product of a Power: When you multiply exponentials with the same base, you add their exponents
Power to a Power: When you have a power to a power, you multiply the exponents.
Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents.
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Equation 1) 4x + 2y = 8
Equation 2) 16x - y = 14
Multiply all of equation 2 by 2.
2) 2(16x - y = 14)
2) 32x - 2y = 28
1) 4x + 2y = 8
Add equations together.
36x = 36
Divide both sides by 36.
x = 1
Plug in 1 for x in the first equation.
4x + 2y = 8
4(1) + 2y = 8
4 + 2y = 8
Subtract 4 from both sides.
2y = 8 - 4
2y = 4
Divide both sides by 2.
y = 4/2
y = 2
So, x = 1, y = 2
~Hope I helped!~