Answer:
ΔPTS≅ΔRTA by AAS axiom of congruency
Step-by-step explanation:
Consider ΔPQA and ΔRQS
∠PQA=∠RQS (Vertically Opposite Angles)
∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)
Due to angle sum property of a triangle, we come to the conclusion that
∠APQ=∠SRQ
Consider ΔPTS and ΔRTA
TA=TS (Given)
∠RAT=∠PST(Given)
∠APQ=∠SRQ (Proved above)
Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.
Answer:
24 degrees because 48 degree is being divided into two
Answer:
-2
Step-by-step explanation:
f(x) = -x + 2
f(4) = -(4) + 2
f(4) = -2
Polynomials consist of different types of terms - terms conatining variables as well as integers . These are added separately whereas with integers its just one type of value , numerical.
Answer:
8
Step-by-step explanation:
The area of a circle with twice the radius is 4 times the area of the smaller circle. If John's hours are proportional to area, we expect it will take him 4 times as long for the larger area.
John can expect to take 8 hours cutting the grass in the larger lawn.
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The area of a circle with radius r is ...
A = πr²
The area of a circle with radius 2r is ...
π(2r)² = 4πr² = 4A . . . . . 4 times the area of the smaller circle