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sp2606 [1]
3 years ago
12

Are triangles the congruent? Write the congruency statement.

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

Yes. but under the next condition m∠Q ≅ m∠T

Step-by-step explanation:

If the circular arc label of the angles ∠Q and ∠T means that they are congruent (equal) or m∠Q ≅ m∠T, in that case we can prove that  ΔPQR is congruent with ΔSTU or ΔPQR≅ΔSTU.

We need three elements to form congruency statement.

1.  Sides PQ ≅ ST = 4 ft

2. Angles m∠Q ≅ m∠T

2. Sides QR ≅ TU = 6 ft

Based on the SAS statement ( Side-Angle-Side) we prove that:

ΔPQR ≅ ΔSTU.

If they are congruent, every corresponding elements are congruent:

Sides PR = SU => 3y - 2 = y + 4 => 3y - y = 4 + 2  => 2y = 6 => y = 6/2 = 3

y = 3  => PR = 3 · 3 - 2 = 9 - 2 = 7  =>  PR = 7 ft

Perimeter of ΔPQR is

P = PQ + QR + PR = 4 + 6 + 7 = 17 ft

P = 17 ft

God with you!!!

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a couple has narrowed down the choices of a name for their new baby to first names and middle names. how many different​ first-
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There are 28 ways in which a couple can choose the name of the baby for its name.

<h3>What is defined as the combination?</h3>
  • A combination is an algebraic technique for determining the number of possible arrangements in a set of items in which the order of the selection is irrelevant.
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If we need to choose objects from two groups of x and n objects so that one object from each group is chosen, we can do so by calculating the combinations possible by:  

= ˣC₁  ×  ⁿC₁

Let 'x' be the set of first name = 7

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Putting the values in formula;

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Thus, there are 28 ways in which a couple can choose the name of the baby for its name.

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brainly.com/question/12725706

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A couple has narrowed down the choices of a name for their new baby to 7 first names and 4 second names.

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