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olganol [36]
2 years ago
10

Solve the inequality 7y-35<2(x-5)

Mathematics
1 answer:
AfilCa [17]2 years ago
5 0

Answer:

x < 5

<u>Explanation:</u>

 7*x-35-(2*(x-5))<0

 (7x - 35) -  2 • (x - 5)  < 0

Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  < 0

Divide both sides by  5

Add  5  to both sides

x < 5

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How do i write a two column proof for this??<br><br>Given: PG ≅ SG and PT ≅ ST . Prove: ∠GPT ≅ ∠GST
Nikolay [14]

Answer:

PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)

Step-by-step explanation:

<u>Given</u>: PG ≅ SG and PT ≅ ST

<u>To Prove</u>: ∠GPT ≅ ∠GST

<u>Proof</u>:  PG ≅ SG (Given)

PT ≅ ST (Given)

GT = GT (Common)

∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).

<u>SSS Congruency Axiom</u>:  If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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(5x^2+3x+4)-(2x^2+5x-1)
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Answer:
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