Answer:
Step-by-step explanation:
From the given picture,
∠ABE = ∠DEF = 90° [Since, AB and DE are perpendicular to DE]
m∠ECA = m∠BFD [Given]
m∠ECA + m∠ACB = 180° [Liner pair of angles]
m∠BFD + m∠DFE = 180° [Liner pair of angles]
m∠ACB + m∠ECA = m∠BFD + m∠DFE [Transitive property]
m∠ACB = m∠DEF [Since, m∠ECA = m∠BFD]
Therefore, ΔABC ≅ ΔDEF [By AA property of similarity]
Answer:
Irrational.
Step-by-step explanation:
Rational means that it is a whole number and can be written as a fraction. That doesn't apply for square rooted numbers. So, 
is irrational.
Answer: <span>A square inscribed in a circle.
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Justification:
Note that by making two perpendicular lines that intersect each other in the center of the circle, he obtains 4 equidistant points on the circumference.
So, joining each pair of neighbouring points, the image will reveal 4 congruent sides joining at right angles (90°). This is the image of a square with the four vertices on the circumference.
ans=26.92
use trigonometric ratios
a²= b²+c²
a²=25²+10²
a²=625+100
now take square root on both sides
a
a=26.92
a=27 (2decimal place)
28.56-24.99= $3.57
Sam payed $3.57 in sales tax.
