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emmasim [6.3K]
3 years ago
12

Find the correct linear equation: y is the quotient of thrice a number and ten.

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer:

y = (3x)/10

Step-by-step explanation:

quotient  = divide

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What postulate or theorem can be used to prove that these two triangles are congruent?
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Answer:

AAS postulate can be used to prove that these two triangles are congruent

Step-by-step explanation:

Let us revise the cases of congruence  

  1. SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  2. SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
  3. ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
  4. AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
  5. HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ  

In the given figure

∵ There is a pair of vertically opposite angles

∵ The vertically opposite angles are congruent ⇒ (1)

∵ There are two angles have the same mark

∴ These marked angles are congruent ⇒ (2)

∵ There are two sides have the same mark

∴ These two marked sides are congruent ⇒ (3)

→ From (1), (2), and (3)

∴ The two triangles have 2 angles and 1 side congruent

→ By using case 4 above

∴ The two triangles are congruent by the AAS postulate of congruency.

AAS postulate can be used to prove that these two triangles are congruent

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\underline{\underline{\boxed{16+48 = 64}}}
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