Answer:
x = 9
Step-by-step explanation:
7x - 25 = 4x + 2 (vertical angles)
7x - 4x = 2 + 25
3x = 27
x = 27/3
x = 9
4(9) + 2 = 38 degrees
Answer:
The correct option is;
BC = 4 cm and DE = 4 cm
Step-by-step explanation:
The given sides parameters are;
In ΔABC
AB = 3 cm
AC = 5 cm
In ΔDEF
CD = 3 cm
CE = 5 cm
We note that the point F on ΔDEF is the same as point C on ΔABC
For the two triangles to be congruent, the third side must be equal hence e have;
Where ∠B = ∠D = 90°
Hence, AC² = AB² + BC²
∴ BC = √(5² - 3²) = 4
Similarly,
CE² = CD² + DE²
∴ DE = √(5² - 3²) = 4
Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.
Answer:
4x +y = 11
Step-by-step explanation:
)
y - 3 = -4(x - 2)
y - 3 = -4x + 8
4x + y -3 = 8
4x + y = 8+3
4x + y = 11
The third option should be correct
Answer: The limit does not exist.
Step-by-step explanation: The limit of a piecewise function f(x) as it approaches "a" will exist if and only if the value of the limit of f(x) as x approaches "a" from the left is the same with the value of the limit of f(x) as x approaches "a" from the right.
From the given question the value are not the same. We have 5 (limit from the left) and -3 (limit from the right). So, we can conclude that the limit of f(x) as x approaches "a" does not exist.