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8090 [49]
3 years ago
10

P, Q, and R are three different points. PQ = 3x + 2, QR = x, RP = x + 2, and . List the angles of PQR in order from largest to

smallest and justify your response.
Mathematics
1 answer:
horsena [70]3 years ago
4 0
<span>PQR is a triangle
QR = x  </span>⇒ x>0
If x>0 then:
QR is the smallest side
PQ is the largest side

<span>In the triangle, the largest angle lies opposite the largest side.
</span>The angles of Δ<span>PQR in order from largest to smallest:
</span>∠R is largest    [opposite to PQ]
∠Q is middle    [opposite to RP]
∠P is smallest   [opposite to QR] 
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Shtirlitz [24]

Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

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3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

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The answer for the second question is 25%, also.
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Step-by-step explanation:

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