Step-by-step explanation:
Lets assume that angle of right angle trangles are <a,<b and <c
here one of the angle is 90°
so, <a=90°
now,
By the question
<c=3×<b+14
again,
<a+<b+<c=180° (being sum of interior angles of trangles)
90°+<b+(3×<b+14)=180° ( including the value of <a and <c)
90°+<b+3<b+14=180°
4<b=180-90-14
<b=86/4
<b=19°
<c=3×<b+14
=3×19+14
<c=71
smallest angle is 19°
and another small angle is 71°
Answer:
y2-y1 / x2-x1
-4/3
Step-by-step explanation:
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
Answer:
Each hour costs $2.75
Step-by-step explanation:
17.25 - 3.50 = 13.75
13.75/5 = 2.75
Hope this helped <3
Answer:
30cm
Step-by-step explanation:
Given data
When are square is cut diagonally into two parts
The resulting shape is a triangle
hence the area of the square = 50+50 = 100cm^2
The length of each side of the square = √100= 10cm
likewise the diagonal of the square = 10cm
Hence the perimeter of the resulting triangle= 10+10+10= 30cm