Answer: the angle is 1°+n×120°
1°, 121°, 241°
Step-by-step explanation:
Angles are taken modulo 360°, so 363° = 3°.
Angle plus supplement gives 180°.
Let a be angle, s be supplement of a.
So s = 180-a. Given a = 3 + 2s
a = 3 + 2(180 - a)
a = 3 + 360 - 2a = 363 - 2a
3a = 363° or 3° or 723°
a = 121° or 1° or 241°
a = 1°
s = 179°
2s = 358°
2s+3 = 361° = 1° (modulo 360)
a = 121°
s = 180-121 = 59°
2s = 118°
2s + 3 = 121°, as required.
a = 241°
s = 360+180-241 = 540-241 = 299
2s = 598
2s + 3 = 601 = 241 (modulo 360)
Find the greatest common factor of both numbers:
Factors for 150:
150: 1, 2, 5 , 6, 10, 15, 25, 30, 50, 75, 150
Factors for 270:
1, 2, 3, 5, 6 , 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The largest number they both have in common is 30, so the largest tile could be 30 cm^2.
Answer:
109410480 dates.
We can find 555*888*222 different dates = 109410480 dates.
This is because we can find the total number of combinations between the different choices by multiplying the numbers of each different factor.
Hope this helped!
You have a right triangle.
a^2+b^2=c^2
4^2+b^2=256
16+b^2=256
b^2=256-16
b^2=240
b=sqrt240
b=15.49 ft. ans. for the height of the ladder up the wall.
23x36=828
This should be your answer
