As an estimation we are told £3 is €4. Convert €36 to pounds.
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If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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The coordinates of the midpoint of the segment joining the two points (0, 2) and (6, 4) is (3, 3)
<h3><u>Solution:</u></h3>Given that two points are (0, 2) and (6, 4)
To find: coordinates of the midpoint of the segment joining the two points
<em><u>The midpoint of line joining two points is given as:</u></em>
For a line containing two points and
In the given sum, two points are (0, 2) and (6, 4)
Substituting the values in given formula,
Thus the required midpoint is (3, 3)