Julio has 47 marbles. He keeps his two favorite marbles, then equally shares the remaining marbles between 5 friends. How many m
2 answers:
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Answer:
Part 1) The scale factor is
Part 2) The altitude QS is
Part 3) The scale factor is
Part 4) The value of x is
Part 5) The perimeter of ABCDE is
Step-by-step explanation:
Part 1) Find the scale factor of triangle TQR to triangle NQP
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z-----> the scale factor
substitute the values
Part 2) Find the length of the altitude QS
we know that
To find the altitude QS, divide the altitude of triangle NQP by the scale factor
so
Part 3) Find the scale factor of FGHJK to ABCDE
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z-----> the scale factor
substitute the values
Part 4) Find the value of x
we know that
The value of x is equal to multiply the length side FK by the scale factor
so
substitute the values
Part 5) Find the perimeter of ABCDE
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x-----> the perimeter of ABCDE
y-----> the perimeter of FGHJK
we have
substitute the values