Ratio = 2 : 3 : 5
Hence, the interior angles of the triangles are 2x, 3x and 5x.
We know, the sum of the interior angles of are triangle is 180°.
2x + 3x + 5x = 180
10x = 180
x = 18
Hence, the angles are 36°, 54°, 90°.
Hence, the measure of the largest interior angle is 90°.
Answer:
x = 100°
y = 125°
z = 55°
Step-by-step explanation:
A straight line is 180°
A triangle is 180°
Solve in this order:
X: 180 - 80 = 100
Z: 180 - 80 - 45 = 55
Y: 180 - 55 = 125
Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
Answer:1/24
Step-by-step explanation:
You will do 3/8-1/3 and get 1/24.
Answer:
I think it’s B but I’m sorry if wrong
Step-by-step explanation: