Answer:
26.8°
Step-by-step explanation:
4x - 20 + 6x - 7 = 90
10x -27 =90
10x = 90+27
10x= 117
x = 11.7
so, the angle R = 4x-20 =4(11.7)-20
= 46.8-20 = 26.8°
"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
Answer:
x = 9
Step-by-step explanation:
Sum of all angles of a triangle = 180
63 + 7x + 6x = 180
63 + 13x =180
13x = 180 - 63
13x = 117
x = 117/13
x = 9
Answer:
AD = 84
Step-by-step explanation:
Since B is the midpoint of AC then AB = BC = 2x - 5
Since C is the midpoint of AD then AC = CD, thus
AB + BC = CD, that is
2x - 5 + 2x - 5 = x + 29
4x - 10 = x + 29 ( subtract x from both sides )
3x - 10 = 29 ( add 10 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Hence
AD = AB + BC + CD
= 2x - 5 + 2x - 5 + x + 29 = 5x + 19, thus
AD = (5 × 13) + 19 = 65 + 19 = 84
The answer is negative-48
