What is the value of x? What is the measure of

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Answer:

x is 10

Step-by-step explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

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Which of the points listed is the same distance from the y-axis as the point (−1.5, 6)?

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The complete question in the attached figure

we know that
the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates

in this problem
the point (−1.5, 6)
the absolute value of x-coordinates is 1.5
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