Same side, interior angles of parallel lines cut by a transversal are supplementary.
The sum of the measures of supplementary angles is 180.
Angles 4 and 6 are same side, interior angles, so their measures add to 180.
m<4 + m<6 = 180
109 + m<6 = 180
m<6 = 180 - 109
m<6 = 71
Answer: m<6 = 71 deg.
<h3>
Answer:</h3>
96 necklaces
<h3>
Step-by-step explanation:</h3>
To find out how many necklaces Camilla can make, we need to see how many times the required number of beads "goes into" the available number of beads.
Silver: 8160/85 = 96
Black: 2880/30 = 96
Camilla has enough beads to make 96 necklaces.
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<em>Comment on this answer</em>
Obviously, if one of the quotients is smaller than the other, Camilla can only make as many necklaces as are supported by the constraining resource.
Even if she had 3000 black beads (way more than 2880), she could still only make 96 necklaces (for example) because she would run out of silver beads making that 96th necklace. (There would be 120 black beads left over in that scenario.)
We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
Let s represent the number of sales, and t the total pay
the equation to represent this situation is t = 2s + 50
so set t to 100, and solve for s
100 = 2s + 50
50 = 2s
25 = s
you need to make at least 25 sales
