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DedPeter [7]
3 years ago
9

Can anyone answer these? it would be appreciated:)

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

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Solve the following problems : Given: S, T, and U are the midpoints of RP , PQ , and QR respectively. Prove: △SPT≅△UTQ.
AleksandrR [38]

Answer:

Hence Proved △ SPT ≅ △ UTQ

Step-by-step explanation:

Given: S, T, and U are the midpoints of Segment RP , segment PQ , and segment QR respectively of Δ PQR.

To prove: △ SPT ≅ △ UTQ

Proof:

∵ T is is the midpoint of PQ.

Hence PT = PQ    ⇒equation 1

Now,Midpoint theorem is given below;

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

By, Midpoint theorem;

TS║QR

Also, TS = \frac{1}{2} QR

Hence, TS = QU (U is the midpoint QR) ⇒ equation 2

Also by Midpoint theorem;

TU║PR

Also, TU = \frac{1}{2} PR

Hence, TU = PS (S is the midpoint QR) ⇒ equation 3

Now in △SPT and △UTQ.

PT = PQ (from equation 1)

TS = QU (from equation 2)

PS = TU (from equation 3)

By S.S.S Congruence Property,

△ SPT ≅ △ UTQ ...... Hence Proved

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Solving problems with decimal points
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The distance from Neptune to Mars is 4.272\times 10^{9}4.272×10 9 kilometers. How long would it take a rocket, traveling at 4.8\
just olya [345]

The time taken is 8.9 * 10^4hrs




<h3>Distances</h3>

Given the following information:

  • Distance from Neptune to Mars = 4.272\times 10^{9}
  • Time is taken = 4.8\times 10^{4}km/hr

Get the time taken:

Time  = Distance/Speed

Time = \frac{4.272\times10^9}{4.8\times 10^4}

Time = 0.89 * 10^5

Time = 8.9 * 10^4hrs

Hence the time taken is 8.9 * 10^4hrs&#10;&#10;&#10;

Learn more on distance here: brainly.com/question/4931057

6 0
2 years ago
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