First, find out x
x+15+2x+15=180
3x+30=180
3x=150
x=50
so the two angels are x+15=65(let's name is ∠5 for convenience), and ∠6= 2x+15=115
notice the two inner lines are marked as congruent, so
∠4=∠5=65
∠1=180-∠4-∠5=180-65-65=50
Name the right bottom angle ∠7, ∠3=∠7 and ∠3+∠7=the exterior angle 100 degree, therefore, ∠3=50
∠2+∠3=∠4, therefore, ∠2=∠4-∠3=65-50=15
∠1=50, ∠2=15, ∠3=50, ∠4=65
Answer:
Salesman is not correct
Step-by-step explanation:
First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:
Bonus Share For 7 Salesmen = (0.6)(£ 2100)
Bonus Share For 7 Salesmen = £ 1260
Now, this is equally divided among 7 salesmen:
Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7
S₁ = £ 180
Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:
Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10
S₂ = £ 210
S₂/S₁ = £ 210/£ 180
S₂/S₁ = 1.16
S₂ = 1.16S₁
S₂ = 116% of S₁
This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.
<u>Therefore, salesman is not correct</u>
Answer:
The answer to your question is a) y - 2 = -5(x - 3)
b) y = -5x + 17
Step-by-step explanation:
Data
A (1, 12)
B (3, 2)
Process
1.- Find the slope
Formula
Substitution
2.- Find the equation in point slope form
Equation
y - y1 = m(x - x1)
Substitution and equation
y - 2 = -5(x - 3)
3.- Find the slope-intercept form
Expand the point slope form
y - 2 = -5x + 15
Simplify
y = -5x + 15 + 2
Equation
y = -5x + 17
Answer:
SLOPE: 1
Y-Intercept: (0,4)
Step-by-step explanation:
The rate of change of any given function is simply taken to be the 1st derivate of that function.We are given:y = 5 x + 25So the rate of change is simply, rate of change = dy / dxdy = 5 dxdy / dx = 5
So rate of change = 5
