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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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4 0
3 years ago
Solve for x using the quadratic formula x^2-6x +9=0
Rufina [12.5K]

Answer:

3 both ways x = 3

EXPLANATION:

plug in inputs and do a little simplifying we get

x = 6 ± √(36-36) all of that over 2

So we simplify and we get 6±sqrt(0) / 2

Then we get 6/2 = 3

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4 0
3 years ago
Read 2 more answers
You have 2 job offers with the following options. Option 1: You are paid $30
kozerog [31]

Answer:

It takes 6 hours for both to reach an equal paid.

Step-by-step explanation:

You have to form an expressions in terms of x where x determine the number of hours :

Option 1,

$(30 + 9x)

Option 2,

$(14x)

Next, you have to compare it since they want to find out how many hours they work until they reach the same amount :

30 + 9x = 14x

30 = 14x - 9x

30 = 5x

5x = 30

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8 0
3 years ago
malik collects rare stamps and has a total of 212 stamps. he has 34 more domestic stamps than foreign stamps. let x represent th
valina [46]
<span>x = number of domestic stamps

y = number of foreign stamps

Malik collects rare stamps and has a total of 212 stamps.
 
=> x + y = 212

he has 34 more domestic stamps than foreign stamps.

=> x = y + 34


which equation represents the total number of stamps malik collected?

x + y = 212

which equation represents the difference in the number of foreign and domestic stamps malik collected?

x - y = 34

which system of linear equations represents the situation?

x + y = 212
x - y = 34
</span>
8 0
3 years ago
Read 2 more answers
Simplify: -1/2(6n+4) +2n - 5
Maurinko [17]

Answer:

Step-by-step explanation:

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5 0
3 years ago
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