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NeX [460]
3 years ago
9

Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,

or HL.

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

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.

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you have a piggy bank containing a total of 119 coins in dimes and quarters. If the piggy bank contains $20.75, how many dimes a
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7 0
4 years ago
Which decimal is equivalent to 8%
Nikitich [7]

Answer:

0.08

Step-by-step explanation:

Given : 8%

To find the decimal value of the percentage number

Remove the percentage symbol with 100 in the denominator

gives            

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Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.

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3 0
4 years ago
Read 2 more answers
Write an equation of a circle that is centered at (1,-4) with a radius of 10.
alexdok [17]

Answer:

(x-1)^2 + (y+4)^2 = 100\\\\

=====================================================

Work Shown:

(x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

5 0
3 years ago
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