The 2 marked angles are alternate angles and so they are equal.
Therefore:- 3x + 5 = 65
3x = 60
x = 20 (answer)
For an arithmetic sequence, the nth term is the first term plus (n-1)×the differece
the first term is 28, the difference between each adjacent number is 8
so -36=(28)+8(n-1)
8(n-1)=64
n-1=8
n=9
the 9th term is -36
Answer:
Reflection with respect to the x axis
Step-by-step explanation:
Reflection with respect to the x avis, or horizontal reflection.
9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
Answer:
Y - 6x = - 20
Step-by-step explanation:
Y = 6x + c
Substituting the value of x and y
4 = 24 + c
Subtracting 24 from both sides
C = - 20
Y = 6x - 20
Subtracting 6x from both sides
Y - 6x =- 20