Simplify.
1 answer:
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The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
The standard equation of a circle with centre (xc,yc) and radius R is given by
Substituting
centre (xc,yc) = (4,-3)
R=2.5
The equation is therefore
or
(x-4)^2+(y+3)^2=6.25
Substituting
centre (xc,yc) = (4,-3)
R=2.5
The equation is therefore
(x-4)^2+(y+3)^2=6.25