Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)
Step-by-step explanation:it’s a
b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.
A
a and 143 are supplementary. So a + 143 = 180
a + 143 = 180 Subtract 143 from both sides.
a = 180 - 143
a = 37
B
b and 143 are vertically opposite angles and are equal
b = 143 degrees.
C
Interior angles on the same side of a transversal for parallel lines are supplementary
b + c = 180
143 + c = 180
c = 37
D
c + d + 85 = 180 degrees
37 + d + 85 = 180
d + 122 = 180
d = 180 - 122
d = 58
E
e = c They are vertically opposite.
e =37
F
All triangles have 180 degrees.
e + f + 90 = 180 degrees.
37 + f + 90 = 180
f + 127 = 180
f = 180 - 127
f = 53
G
G and 48 are opposite 2 equal sides. So G and 48 are equal
G = 48
H
h + 48 + 48 = 180
h + 96 = 180
h = 84
K
K and H are supplementary
K + H = 180
k + 84 = 180
k = 95
M
m+ k + d = 180
M + 95 + 58 = 180
M + 143 = 180
M = 37
P
the top angle is 2*m and 2m is bisected. You are using the m on the left.
P + 85 + M = 180
P + 85 + 37 = 180
P + 122 = 180
p = 180 - 122
p = 58
R
r + p are supplementary.
r + p = 180
r + 58 = 180
r = 180 - 58
r = 122
S
s + r + c + b = 360 All quadrilaterals have 360 degrees.
s + 122 + 37 + 143 = 360
s + 302= 360
s = 360 - 302
s = 58
By using what we know about right triangles, we conclude that the height is 11ft.
<h3>
How far is the top of the escalator from the ground floor? </h3>
We can think of this as a right triangle.
Where the length of the escalator is the hypotenuse
We know that the angle of depression is 42.51°, then the top angle of our right triangle is:
90° - 42.51° = 47.49°
Now, the height of the top of the escalator would be the adjacent cathetus to said angle, then we can use the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know:
cos(47.49°) = height/16ft
cos(47.49°) *16ft = height = 10.8ft
Rounding to the nearest foot, we get:
height = 11ft
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
x = 5
y = 7
Step-by-step explanation:
See the image that I have added to you above to get the whole working.
