It will either be -2 or -3
Answer:
<x= 31°
Step-by-step explanation:
m<BCA= m<GCJ (vertical angles)
m<BCA= 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC=90°
m<BAC+m<ABC+m<BCA=180° (sum of triangle)
m<BAC+90°+59°=180° (substitution)
m<BAC+149°=180°
m<BAC=180°-149°
m<BAC=31°
<x=<BAC (vertical angles)
m<x=31° (substitution)
Answer:
b = 7
Step-by-step explanation:
108 = -2(-5 - 7b)
Distribute -2 to the terms inside the parenthesis:
108 = 10 + 14b
Subtract 10 from both sides of the equation to isolate 14b:
108 - 10 = 10 + 14b - 10
98 = 14b
Divide 14 on both sides of the equation to solve for b:

7 = b
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer:
Answers: 46, 23, and 111
Step-by-step explanation:
To answer, we need to know the angles. Therefore, give each angle a name. Angle 1 will be x, 2 will be y, 3 will be z. So, using this system of equations:
x=2y
z=y+88
x+y+z=180
Substituting, z = 1/2(x)+88, now plug z into the third equation:
x+1/2(x)+1/2(x)+88=180
this simplifies to 2x+88=180
subtracting 88 from both sides leaves 2x=92
x=46
plug this in to the first equation: 46 = 2y, so y = 23
plug this into the third one leaves z = 111
Hope this helps!