Someone help me Solve x
2 answers:
Answer:
<em>x = 12</em>
Step-by-step explanation:
<u>Angles and Lines</u>
The figure attached below has been completed with the angle y to support the calculations to come.
The sum of the interior angles of a rectangle is 180°. Applying on triangle PQR:
30 + 4x + 2 + y = 180
Simplifying:
32 + 4x + y = 180
Solving for y:
y = 180 - 32 - 4x
y = 148 - 4x
Angles y and 8 + 6x are a linear pair, i.e. their sum is 180°, thus:
y + 8 + 6x = 180
Substituting y from the equation above:
148 - 4x + 8 + 6x = 180
Simplifying:
156 + 2x = 180
Dividing by 2:
78 + x = 90
Subtracting 78:
x = 90 - 78
x = 12
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Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:
From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points is:
From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:
The cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 54 cents
