Answer:
Step-by-step explanation:
1). In ΔABC,
For angle A as a reference angle,
Opposite side of ∠A → BC
Adjacent side of ∠A → AC
Hypotenuse → AB
2). By using tangent ratio in ΔYWZ,
tan(72°) = 
tan(72°) = 
x = 
x = 3.899
x ≈ 3.9
3). By using sine rule in ΔKNM,
tan(x°) = 
tan(x) = 
x = 
x = 19.03
x ≈ 19.0°
4). By applying cosine ratio in ΔJKF,
tan(70°) = 
tan(70) = 
x = 
x = 21.838
x ≈ 21.8
Answer:
The system of inequalities is


Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope

Find the equation of the line in slope intercept form

we have

substitute

The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is

step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope

Find the equation of the line (direct variation)

we have

substitute

The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is

therefore
The system of inequalities is


Answer:
-4x<16 the sign flips if you divide by a negative
Step-by-step explanation:
4x<-16
x<-4
but
-4x<16
x>-4
The equation is
Y=-3/1 +2
Y-Intercept at (0,2)
Answer:
She earned 1,076 dollars and 25 cents.
Step-by-step explanation:
x = 7.25 * 4,500 / 100
x = 7.25 * 45
x = 326.25
So commission earned is 326.25 $
We need to add this to her base salary for the week, so:
750 + 326.25 = 1, 076.25
Therefore she earned 1,076 dollars and 25 cents.
Hopes this helps ;p