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Answer:
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An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.
Equivalent expressions are expressions that have the same values.
The expression is and the number is 12
Represent the number with x.
So, the sum of a number (x) and 7 would be represented as: x + 7
Three times the sum would be represented as: 3(x + 7)
This expression is equivalent to 57.
So, we have:
Divide both sides of the equation by 57
Subtract 7 from both sides of the equation
Hence, the number is 12
Read more about equivalent expressions at: