Answer:
The width of the original rectangle on the left is
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
Let
z -----> the scale factor
a ----> perimeter of the reduced rectangle on the right
b ----> perimeter of the original rectangle on the left
we have
substitute
step 2
Find the width of the reduced rectangle on the right
we know that
The perimeter of rectangle is equal to
we have
substitute and solve for W
step 3
Find the width of the original rectangle on the left
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
so
Let
z -----> the scale factor
y ----> the width of the reduced rectangle on the right
x ----> the width of the original rectangle on the left
we have
substitute and solve for x
Answer:
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because
✔ all radii of the same circle are congruent.
We also know that AC ≅ BC since
✔ tangents to a circle that intersect are congruent.
Using the reflexive property, we see that
✔ side CO is congruent to side CO.
Therefore, we conclude that △ACO is congruent to △BCO by the
✔ SSS congruence theorem.
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The question ask to solve and compute the said problem if x = 2 and the equation is y=0.7x. In that alone, the value of y is 1.4 so it means its solution, by means of representing it coordinate, it should be (2,1.4). I hope you are satisfied with my answer and feel free to ask for more