An angle measures 114° less than the measure of its supplementary angle. What is the measure of each angle?
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Answer:
41 years old.
Step-by-step explanation:
Let x represent age of younger child.
We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be .
The sum of the squares of their ages is 97. We can represent this information in an equation as:
Let us solve for x.
Divide both sides by 2:
Since age cannot be negative, therefore, age of younger child is 4 years.
Age of older child would be
Therefore, the age of older child would be 9 years.
We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.
Square of 4:
Square of 9: .
Square of mother's age:
To find mother's age, we need to take positive square root of 1681 as:
Therefore, the mother is 41 years old.
Given:
CDEF is dilated by a scale factor of to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of to form the quadrilateral C'D'E'F'. So,
From the given figure it is clear that . So,
Therefore, the measure of side E'F' is 9 units.