Answer:
m<23 = 57° & m<24= 33°
Step-by-step explanation:
You have to create an equation that equals 90°.
(x+24)+x=90
2x+24=90
2x=66
x=33
m<23 = 33+24= 57° so m<23= 57°
m<24= 33°
Answer:
x = 13
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
30 = 1/2 (5x-5)
Multiply each side by 2
2*30 = 2* 1/2 ( 5x-5)
60 = 5x-5
Add 5 to each side
60+5 = 5x-5+5
65 = 5x
Divide each side by 5
65/5 = 5x/5
13 = x
Answer:
z-value of rachel = 1.875
z-value of rob = -2
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
Step-by-step explanation:
Let's denote the salary of Rob and Rachel per year by X. So, X = $50,000
We are told that;
For Rachel's industry;
Mean salary;μ1 = $35,000
Standard deviation;σ1 = $8,000
For Rob's industry;
Mean salary;μ2 = $60,000
Standard deviation;σ2 = $5,000
Formula for z - value is;
z = (X - μ)/σ
Thus;
z-value for rob is;
z2 = (X - μ2)/σ2
z2 = (50000 - 60000)/5000
z2 = -2
z-value for rachel is;
z1 = (X - μ1)/σ1
z1 = (50000 - 35000)/8000
z1 = 1.875
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
Write down equations what you know.
NML is 28x-1, this is the total angle.
NME is 5x-1, this is the small part of the angle
EML is 115, this is the large part of the angle
So,
NME + EML should equal NML
5x-1 + 115 = 28x-1
Solve for x
Add 1 both sides
5x+115 = 28x
Subtract 5x both sides
115 = 23x
Divide 23 both sides
X=5
Answer:
Given
Distributive property
Subtraction property of equality
Simplify
Subtraction property of equality
Simplify
Division property of equality
Simplify
Step-by-step explanation:
If you want an explanation I would be happy to provide you with one, but I do not want to have to explain the entire thing right here because it would be really long.
