97! =
97 itself is prime......so it is the largest prime factor of 97!
First one
a = 58°
b = 32°
So
3a + 2b =
3(58) + 2(32) =
238°
Second one
Since SW is an altitude....then angles TSW and USW sum to 180 °
And since STUW is a quadrilateral....then....
n + p = 180°
m = 90 - 55 = 35°
m + n + p =
35 + 180 =
215°
66% = 66/100 = 33/50
Note that AN = 36
And since O is the midpoint of AN, then AO = 18
And
GR = 2RH
GR + RH = 36
2RH + RH = 36
3RH = 36
RH = 12
So GR = 24
GR - AO = PQ
24 - 18 = PQ = 6
Yep, GM....got your message.....
In a regular hexagon, a vertex angle = 120°
3m + 40 = 120 2n - 30 = 120
3m = 80 2n = 150
n = 75
3m + n =
80 + 75 =
155°
Let the side of the pentagon = x and the side of the hexagon = y
2AB = 3MN
CD + QR = 10 ......so.....
2x = 3y
x + y = 10
2x - 3y = 0
x + y = 10 multtiply the second equation by 3
3x + 3y = 30 add these
5x = 30
x = 6
And y = 4
4BC + 5PQ =
4(6) + 5(4) =
24 + 20 =
44
In a parallelogram, two adjacent angles sum to 180°
x + (x - 32) = 180
2x - 32 = 180 add 32 to both sides
2x = 212 divide both sides by 2
x = 106°
We have an irregular pentagon
The sum of the interior angles = 540°
84 + 12x + 92 + (9x - 16) + (13x + 6) = 540 simplify
166 + 34x = 540 subtract 166 from both sides
34x = 374 divide both sides by 34
x = 11