Jasmine bought 7 yards of fabric. The total cost was $45.43. What was the average cost per yard she bought?
1 answer:
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Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation:
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable:
Therefore, the third angle must have a measure of 62°.
we will proceed to resolve each case to determine the solution
we have
we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u>
Substitute the value of x and y in the inequality
-------> is true
so
The ordered pair is a solution
<u>case b)</u>
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
<u>case c)</u>
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
<u>case d)</u>
Substitute the value of x and y in the inequality
-------> is True
so
The ordered pair is a solution
<u>case e)</u>
Substitute the value of x and y in the inequality
-------> is False
so
The ordered pair is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality