Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°
Answer:
A. The ability to do something well without wasted time or effort.
The Great War (WW1) killed many empires who had been around for hundreds of years. It introduced some very inhumane weapons such as gas, and was the 1st war when old tactics met new ones. Back then, a war on this scale has never been seen.
It also gave birth to many new nations
Answer:
6:10pm
Step-by-step explanation:
At 6:00 the hands are 180° apart.
The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.
The minute hand moves 1/60 of the circle per minute = 6° per minute
Angle between the hands decreases by 6-0.5 = 5.5° per minute.
180 - 5.5t = 125
t = 125/5.5 = 10 minutes
The hands are 125° apart at t minutes after 6:00, or 6:10.
Answer:
Step-by-step explanation:
Males proportion 
Females proportion 
(one tailed test for comparison of proportions)
Test statistic = 
=-1.3641
Here p= combined proportion = 
p value = 0.0869
Since p >0.05, accept null hypothesis.
The evidence does not suggest a higher proportion of females are annoyed by this behavior
