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kogti [31]
2 years ago
8

Which measurement could create more than one triangle? A.? A triangle with sides measuring 5 inches, 7 inches, 9 inches B. A tri

angle with sides measuring 50 mm 35 mm and a non-included angle measuring 25° C. A triangle with sides measuring 5 cm, 10 cm, and 15 cm D. A triangle with sides measuring 8 cm and 12 cm in an included angle measuring 85°
Mathematics
1 answer:
rewona [7]2 years ago
7 0

Answer: B. A triangle with sides measuring 50 mm 35 mm and a non-included angle measuring 25° .

Step-by-step explanation:

A. A triangle with sides measuring 5 inches, 7 inches, 9 inches

Only one triangle can be possible because all the triangles with equal sides must be equal by SSS congruence rule.

B. A triangle with sides measuring 50 mm ,35 mm and a non-included angle measuring 25°.

More than one triangle can be possible because there is no congruence rule for two equal sides and one non-equal angle ( no SSA rule exist).

C. A triangle with sides measuring 5 cm, 10 cm, and 15 cm .

This triangle is not possible because it doesn't satisfy triangle's inequality as 5+10=15  [Triangles inequality : a+b> c, where a, b, c are sides of triangle]

D. A triangle with sides measuring 8 cm and 12 cm in an included angle measuring 85°.

Only one triangle can be possible because all the triangles have two equal sides and their included angle is equal by SAS congruence rule.

Hence, the required measurement to create more than one triangle:

A triangle with sides measuring 50 mm 35 mm and a non-included angle measuring 25° .

So, correct option is B.

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One earthquake has MMS magnitude 3.9. If a second earthquake has 120 times as much energy (earth movement) as the first, find th
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Answer:

The right answer is "5.9". A further solving is provided below.

Step-by-step explanation:

The given values are:

Initial Magnitude,

M₁ = 3.9

Let Second magnitude be M₂.

Now,

⇒  M_2-M_1=log(\frac{l_2}{l_1} )

On substituting the values, we get

⇒  M_2-3.9 = log (120)

On putting the value of "log 120", we get

⇒  M_2-3.9=2.079

On adding "3.9" both sides, we get

⇒  M_2-3.9+3.9=2.079+3.9

⇒                    M_2=5.9

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There are two bottles of tomato ketchup, one weighs 720 g and costs £1.79, while the other weighs 460 g and costs £1.00. Which b
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Answer:

The answer to your question is y - 0 = 40(x - 15)

Step-by-step explanation:

                                  y = 40x + 600

Convert to                 y - y₁ = m(x - x₁)          

Process

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