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DiamNeli
15.01.2021 •
Mathematics
It takes Fiona 96 minutes to complete a 24-mile bike course while biking at a constant rate. The course has 3 checkpoints that Fiona must pass in order for her time to count. Select the responses from the drop-down menus below to complete the table and make the statement true.
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Ответ:
w = x and ΔABC ~ ΔFED
Step-by-step explanation:
we know that
In a right triangle
If sin(A)=cos(B)
then
Angles A and B are complementary
so
A+B=90°
In this problem
If sin(y°) = cos(x°)
then
Angles y and x are complementary
so
x+y=90°
therefore
In the triangle FED
w+y=90° > by complementary angles
In the triangle ABC
z+x=90° > by complementary angles
so
w=x and z=y
Remember that
If two triangles are similar, then the corresponding angles are congruent
In this problem
The corresponding angles of triangles ABC and FED are congruent
therefore
ΔABC ~ ΔFED