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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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Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
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Answer:

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Step-by-step explanation:

Cost of a pear = $ 0.50

Cost of a pineapple = $ 1.5

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Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notic
Free_Kalibri [48]

The equation for the situation is y=200(\frac{2}{3})^{x}

It will take around 9 years for her to have around 5 sheep

Step-by-step explanation:

The exponential decay growth/decay equation is y=a(b)^{x} , where

  • a is the initial value
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Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notices that the population is two-thirds of the previous year

∵ The population is decreased

∴ The equation is decay

∵ The population is two-thirds of the previous year

∴ The decay factor is \frac{2}{3}

∵ She starts with an initial 200 sheep

∴ the initial value is 200

∵ The decay equation is y=a(b)^{x} , where y represent the

   population in x years

∵ a = 200

∵ b = \frac{2}{3}

∴ y=200(\frac{2}{3})^{x}

The equation for the situation is y=200(\frac{2}{3})^{x}

∵ The population after x years is around 5 sheep

- Substitute y by 5 to find x

∵ 5=200(\frac{2}{3})^{x}

- Divide both sides by 200

∴ 0.025=(\frac{2}{3})^{x}

- Insert ㏒ for both sides

∴ log(0.025)=log(\frac{2}{3})^{x}

∴ log(0.025)=xlog(\frac{2}{3})

- Divide both sides by log(\frac{2}{3})

∴ 9.098 = x

∴ x is around 9 years

It will take around 9 years for her to have around 5 sheep

Learn more:

You can learn more about the equation  in brainly.com/question/10666510

#LearnwithBrainly

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