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choli [55]
3 years ago
8

One angle of an isosceles triangle measures 100°. Which other angles could be in that isosceles triangle? Choose all that apply.

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

Answer:

40 degrees

Step-by-step explanation:

The sum of the angles is 180.

A 100 degree angle cannot be a base angle because then

the sum of the base angles would be 200 degrees.

The 100 must be the vertex angle.

Equation:

x + x + 100 = 180

2x = 80

x = 40 degrees.

Each of the base angles is 40 degrees.

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Given:

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Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

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jenyasd209 [6]

Answer:

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Step-by-step explanation:

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