Answer:
2<x<4/3
Step-by-step explanation:
Given the equation of a graph to be y = |3x− 5|, if the equation is one unit to the right, this can be expressed as |3x-5| > 1.
Solving the resulting equation
|3x-5| > 1.
Since the function 3x-5 is in a modulus sign, this means that the function can take both negative and positive values.
For positive value of the function;
+(3x-5) > 1
3x > 1+5
3x>6
x>6/3
x>2 ... (1)
For the negative value of the function;
-(3x-5) > 1
On expansion
-3x+5 > 1
-3x > 1-5
-3x > -4
Multiplying through by -1 will also change the inequality sign
x < -4/-3
x < 4/3...(2)
Combining equation 1 and 2, we have;
2<x<4/3
50 + (.75 x d)
D = distance traveled by in miles
Answer:
x:
5x - 29 = 3x+ 19
2x = 48
x = 24°
Angle 1:
180 - (3x+7) = 180 - 79 = 101°
Angle 2:
3x + 7 = 79°
Angle 3:
Same as Angle 1 = 101°
Angle 4:
Same as Angle 1 = 101°
Angle 5:
Same as Angle 2 = 79°
Angle 6:
Same as Angle 5 = 79°
Angle 7:
180 - (5x - 29) = 180 - 91 = 89°
Angle 8:
Same as Angle 7 = 89°
Angles 2 and 3 are Supplementary angles
An acute angle is an angle that is less than 90°. An angle bisector is a ray drawn along an angle that bisects it into two equal and adjacent parts. Now, if the total angle is, say 270°, which is more than a half circle, it would result to two 135-degree angles. In this case, the angle is no longer acute, but obtuse.
