Given:
m(ar KN) = 2x + 151
m(ar LN) = 61°
m∠NMK = 2x + 45
To find:
m∠NMK
Solution:
By property of circle:
<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>



Multiply by 2 on both sides, we get


Subtract 90 from both sides.


Subtract 2x from both sides.



Substitute x= 0 in m∠NMK.
m∠NMK = 2x + 45
= 2(0) + 45
= 45
Therefore m∠NMK = 45.
Answer:
The weight of the parcel is 5 N
Step-by-step explanation:
we know that
Weight can be calculated using the equation:

where
W ----> weight (W) is measured in newtons (N)
m ----> mass (m) is measured in kilograms (kg)
g ----> gravitational field strength (g) is measured in newtons per kilogram (N/kg)
In this problem we have


Remember that

To convert g to kg
Divide by 1,000
so

substitute the values in the equation

therefore
The weight of the parcel is 5 N
Answer:
length = 6 feet
width = 4 feet
Step-by-step explanation:
To find the dimensions of the rectangle, you can set up a variable and an expression that will equal the perimeter of the figure. Given l = length, width is '8 feet less than twice the length' or w = 2l - 8.
The general formula for perimeter of a rectangle is:
2w + 2l = P, where w = width and l = length
Using the variable and expression from above and the perimeter of 20 feet:
2(2l - 8)+ 2l = 20
distribute: 4l - 16 + 2l = 20
combine like terms: 6l - 16 = 20
add 16 to both sides: 6l - 16 + 16 = 20 + 16 or 6l = 36
divide and solve for 'l': 6l/6 = 36/6, or l = 6 feet
solve for 'w': w = 2(6) - 8 or w = 12 - 8 = 4 feet
Answer: -10,-5,3,15
A,C,D,E
The next one is a= -5, b=1, c=-5, d=-12
The last one is 3 & 4