<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>
<em><u>Solution:</u></em>
Given that,
<em><u>Point Y is the midpoint of segment XZ</u></em>
XY = 2(3x +1)
YZ = 5x + 22
To find: Value of x
Since, Point Y is the midpoint of segment XZ,
Therefore,
XY = YZ
2(3x + 1) = 5x + 22
6x + 2 = 5x + 22
6x - 5x = 22 - 2
<h3>x = 20</h3>
Thus, value of x is 20
Answer:5,828
Step-by-step explanation:
Answer:
1/24
Step-by-step explanation:
two coins each have a 1/2 probability of landing on heads so we multiply
1/2 x 1/2 = 1/4 probability of getting heads twice
we have a 1/6 chance of landing on a 4
so we multiply 1/6 x 1/4
which equals 1/24
Answer:
<h2>C. 3x + 80 + 2x = 180</h2>
Step-by-step explanation:
The straight line creates an angle of 180 °.
Therefore from the picture we have the equation:
3x + 80 + 2x = 180 <em>subtract 80 from both sides</em>
5x = 100 <em>divide both sides by 5</em>
x = 20
<h3>
Answer: y = 6-1.5x</h3>
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Work Shown:
x = number of hours
1.5x = number of pages written after x hours
y = 6-1.5x = number of pages left after x hours
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In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.
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An example:
x = 2 so 1.5x = 1.5*2 = 3
At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.
