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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:

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Step-by-step explanation

X= 1/2

EF= 2X-8

    = 2 X 1/2 -8

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EF = -7

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FG     = -7

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3 years ago
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Answer:

60

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7 0
3 years ago
A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus wa
lyudmila [28]

The kids have to wait for 1 hour to get their bags.

<u>Step-by-step explanation:</u>

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

  • The speed of the bus was 60 mph.
  • It took kids 3 hours to reach the camp.

<u>To find the distance traveled by the bus :</u>

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

<u>To find the time taken by the truck to reach the camp :</u>

  • The speed of the truck was 45 mph.
  • We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

<u>To find how long the kids have to wait for their bags :</u>

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

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3 years ago
100PT AND BRAINLIEST! PLEASE HELP! Use technology to approximate the solution(s) to the system of equations to the nearest tenth
N76 [4]

Answer:

C. (0.9, 0.3)

Explanation:

\rightarrow \sf  \dfrac{1}{4^{x}} = \log(2x)

The above given equation is critical to solve algebraically thus they have mentioned to solve it using a technology - graphing calculator.

<h3><u /></h3><h3><u>When graphed the following equations</u>:</h3>

They meet each other at: (0.9371, 0.2728)   \sf   \underset{ solution }{ \xrightarrow{ \text{ nearest tenth } } }  (0.9, 0.3)

8 0
2 years ago
Read 2 more answers
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