Answer:
the slope of line j is -1/8, the slope of lines m and n are both 8.
Explanation step by step:
Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:
1. line j is perpendicular of line m, so j*m= -1
2. J is perpendicular of line n, so j*n=-1
3. m and n and parallel so m=n
As we want to know the slope of j we clear the equations presented to us in order to find it.
(1) m* n* j = -8, since n=m we have 
* j = -8.
we clear j; 
replacing in the equation n*j = -1 we get
n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.
Answer:
108 : 145
Step-by-step explanation:
253 - 108 = 145
Ratio of those who receive 2 weeks of paid vacation is 108
Ratio of those paid vacation is not 2 weeks is 145
108 : 145
Answer:
Isosceles and obtuse
Step-by-step explanation:
It is not a scalene triangle because it has two same lengths 41 degrees and 41 degrees.
<u>It is a </u>Isosceles triangle because two of the sides have the same lengths 41 degrees and 41 degrees
<u>It is an</u> obtuse triangle because it has on obtuse angle which is 98 and two acute angles that are 41 degrees
It is not an equilateral because not all of the sides are the same lengths
It is not a right triangle because there are 90 degree angles
It is not an acute triangle because not all the angles are acute angles
Answer:
7 to the 12th power. (The last one.)
Step-by-step explanation:
When dividing expressions with the same base you need to subtract the powers. In this case subtract 2 from 14 which makes 12. So your answer will be <u><em>7^12</em></u>.
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
