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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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Answer:

12 1/4

Step-by-step explanation:

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Solve the problem. six times Tim’s age is 54. His sisters age times three is also 54. How old are Tim an his sister Amy?
Semenov [28]

If t is Tim's age, then 6t=54, so t=9.

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6 0
3 years ago
11 more than a number q is negative 15 ; Solve for the variable.
Cloud [144]

Answer:

q = -26

Step-by-step explanation:

Set up an equation where q is the unknown number:

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4 0
2 years ago
Line WY is an altitude in triangle WXZ. If ΔYWZ ~ ΔYXW, what is true about XWZ? XWZ is an obtuse angle. XWZ is a right angle. XW
topjm [15]
<span>In triangle WXZ,

Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude 
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Now, in any triangle, the sum of all the three angles is 180.

In triangle, WXY, ∠WYX = 90° (From 1)
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Similarly, in WZY.

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3 years ago
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