Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.
Answer:P(x<10) =0
Step-by-step explanation:
M =1/μ
M= 1/15 =0.066667
X- Exp (0.066667)
Where: X is the random variable for number of days
P (X<x) = 1 - e^-mx
P(X - x) = 1 - e^-0.06666 x10
P(x<10) = 0
Answer:
Step-by-step explanation:
Im assuming it's asking for the area of the shape.
We need to break the shape into two sections as shown in the picture. First we find the area of the rectangle (9×10)
90cm^2
Now for the triangle section (3×10)÷2
15cm^2
Now add up the two amounts.
105cm^2
