Answer:
∠MEJ=25°
Step-by-step explanation:
step 1
Find the value of x
we know that
arc LJ+arc KM+arc KL+arc MJ=360° ----> complete circle
substitute the values
(4x+50)°+6x°+(x+10)°+4x°=360°
solve for x
(15x+60)°=360°
x=300°/15=20°
step 2
Find the measure of angle MEJ
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
∠MEJ=(1/2)[arc MJ-arc KL]
arc MJ=4(20°)=80°
arc KL=20°+10°=30°
substitute the values
∠MEJ=(1/2)[80°-30°]=25°
** Calculation is based on 52 weeks per year.
![\boxed {Annual \ Premium \ = \$2530}](https://tex.z-dn.net/?f=%5Cboxed%20%7BAnnual%20%5C%20Premium%20%5C%20%3D%20%5C%242530%7D)
Your employer is paying 75% of the Premium:
![\boxed {75\% \ of \ \$2530 \ = \ 0.75 \times 2530\ = \ \$1897.50}](https://tex.z-dn.net/?f=%5Cboxed%20%7B75%5C%25%20%5C%20of%20%5C%20%5C%242530%20%5C%20%3D%20%5C%200.75%20%5Ctimes%202530%5C%20%20%3D%20%5C%20%5C%241897.50%7D)
Amount you need to pay:
![\boxed { \$2530 - \$1897.50 = \$632.50}](https://tex.z-dn.net/?f=%20%5Cboxed%20%7B%20%5C%242530%20-%20%5C%241897.50%20%3D%20%5C%24632.50%7D)
Amount needed to be deducted weekly from paycheck:
![\boxed{ \$632.50 \div \ 52 = \$12.16}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%24632.50%20%5Cdiv%20%5C%2052%20%3D%20%5C%2412.16%7D)
Answer:
it depends on the multiplication problem
Step-by-step explanation:
because u have to add in some and others you dont.
Answer:
16 is 2/5th's of the line between the point at 6 and the point at 31.
Step-by-step explanation:
First, to get the point on the number line that would be 2/5th's of point 31 and point 6, you need to get the absolute value / difference between both points.
31 - 6 = |25|
So then you need to get what a fifth (1/5) equals from 25.
25 / 5 = 5.
So 2/5th's of the difference between point 31 and point 5 would be two 1/5th's (5 + 5) which equals 10.
Add 6 to 10 (since 6 is the beginning of the line between both points) and you get 16, which is 2/5th's of the line from point 6 to point 31.
Answer: Hi!
First, UxV = sin(a)*IUI*IVI
where a is the angle between U and V, in this case 45°.
First, the cross product of UxV points:
Here you can use the right hand method,
Put your hand flat, so the point of your fingers point in the same direction that the first vector, in this case U, so your fingers will point to the north.
Now roll your fingers in the direction of the second vector, so here you will roll your fingers in the northeast direction. Now you will see that your thumb is pointing down, so the cross product of UxV points down.
And the magnitude is 6*5*sin(45) = 21.213