Answer:
Angle 1 = 75°
Angle 2 = 55°
Angle 3 = 55°
Angle 4 = 40°
Angle 5 = 140°
Angle 6 = 40°
Angle 7 = 75°
Angle 8 = 65°
Angle 9 = 115°
Step-by-step explanation:
1) We start with angle 2
Angle 2
Angles on a straight line = 180°
Hence,
b + 125° = 180°
b = 180° - 125°
b = 55°
Angle 2 = 55°
2)Angle 1
The sum of angles in a triangle = 180°
Hence
Let Angle 1 = a
50° + 55° + a = 180°
a = 180° - (50° + 55°)
a = 180° - 105°
a = 75°
3)Angle 3
Angle 2 and Angle 3 are vertical angles
So we use the Vertical angle theorem
This means
Angle 2 = Angle 3
Angle 2 = 55°
Hence, Angle 3 = 55°
4) Angle 4
Sum of Angles in a triangle = 180°
Let Angle 4 = d
Hence:
85° + Angle 3 + d = 180°
85° + 55° + d = 180°
d= 180° - (85° + 55°)
d = 180°- 140°
d = 40°
5)Angle 5
Angle 4 and Angle 5 are angles on a straight line
Sum of angles on a straight line = 180°
Angle 4 = 40°
Let Angle 5 = e
Hence:
40° + e = 180°
Collect like terms
e = 180° - 40°
e = 140°
6) Angle 6
Angle 4 and Angle 6 are vertical angles
Using Vertical angle theorem,
Angle 4 = Angle 6
Angle 4 = 40°
Hence, Angle 6 = 40°
7)Angle 9
Solving for Angle 9,
Sum of angles on a straight line = 180°
Angle 9 = i
i + 65° = 180°
i = 180° - 65°
i = 115°
8) Angle 8
= Angle 9 and Angle 8 are angles in a straight line
= Angle 8 = h
h + 115° = 180°
h = 180° - 115°
h = 65°
9)Angle 7
Sum of angles in a triangle = 180°
Angle 7 = g
g = 180° - (65° + Angle 6)
= 180° - (65 + 40
= 180° - 105°
= 75°
Answer:
a) curva denominada parábola com vértice voltado pra baixo
Step-by-step explanation:
espero que esto ayude
No sé si es del todo correcto, ¡pero que tengas un buen día!
The most appropriate choice for similarity of triangles will be given by -
Speed of tip of the shadow of woman = 6 ft/s
What are similar triangles?
Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.
Here,
The diagram has been attached here
Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.
Height of street light = 18 ft
Height of woman = 6ft
The two triangles are similar [As height of woman is parallel to the height of pole]
To find the speed, we have to differentiate both sides with respect to time 't'
Speed of tip of her shadow = 6 ft
To learn more about similarity of triangles, refer to the link-
brainly.com/question/14285697
#SPJ4
Answer:
in polynomial form
Step-by-step explanation:
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