Answer:
Step-by-step explanation:
∠2= ∠1 { vertically opposite angles}
m,n are parallel lines and a is transverse.
So, ∠3 = ∠2 {corresponding angles}
∠3 = 108
Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is translated "k" units up
If 
, the function is translated "k" units down.
If 
, the function is translated "k" units left.
If 
, the function is translated "k" units right.
In this case you have the following function:
And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:
Finally, simplifying, you get that this is:
Answer:
the base of the ramp is 31 inches long.
Step-by-step explanation:
c = a/sin(α)
= 33.48514
b = √c2 - a2
= √33.4851373155042 - 122
= √977.25442103816
= 31.26107
Y=24 is a solution for the equation.
y/12=2 is solved by multiplying both sides by 12 to get y by itself. so you'd end up multiplying 2 • 12 which equals 24.
Answer:
x =3
Step-by-step explanation:
The axis of symmetry is at the vertex
The x coordinate gives the axis of symmetry
x =3
