Step-by-step explanation:

Well we know these two angles are congruent, so we set their angles equal to each other.
5w - 69 = w + 3
4w = 72
w = 18
Now we plug w back into one of the equations, and then multiply whatever number we get by 2.
18 + 3 = 21
21 x 2 = 42
The measure of STU is 42°
The first step would be to add 7 to both sides.
3n-7=30
add 7
3n=37
divide by 3
n=12.33
Just substitute each number into the expression:
5(5) - 6(3) + 20(1/4)/4(3)(1/4) = 25 - 18 + 5/3 = 7 + 5/3 = 26/3 or 8 and 2/3.
For each curve, plug in the given point
and check if the equality holds. For example:
(I) (2, 3) does lie on
since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.
For part (a), compute the derivative
, and evaluate it for the given point
. This is the slope of the tangent line at the point. For example:
(I) The derivative is

so the slope of the tangent at (2, 3) is

and its equation is then

For part (b), recall that normal lines are perpendicular to tangent lines, so their slopes are negative reciprocals of the slopes of the tangents,
. For example:
(I) The tangent has slope 7/4, so the normal has slope -4/7. Then the normal line has equation
