I'm guessing 90 hours because if you add their hours together it'll be 180 if they work together it'll be like half the time which is 90
<u><em>Answer:</em></u>
a. The point (4,9) appears in both tables
<u><em>Explanation:</em></u>
<u>Note:</u> This question can be solved without the need of the tables
<u>A solution of a system of equations</u> is defined as a point (or set of points) that satisfy both equations
<u>This means that,</u> this point should belong to all the equations in the system
Now, a table is used to show a set of points that belong to a certain line
This means that, all vales in the table belong to the line they represent
<u>Since the point (4,9) appears in both tables</u>, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines
Hope this helps :)
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.
