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3 years ago

5

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.

2 answers:

Vikentia [17]3 years ago

3 0

Hey there! :D

We know that the triangles are not similar. If they were, they would have the same angles. The interior angles are not congruent. We can rule out choice "B" and "C".

Just because they have one equal angle does not make them similar. We can rule out "D".

"A" is the best answer.

I hope this helps!
~kaikers

Aleks04 [339]3 years ago

3 0

It could be either the first statement or the third.

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77julia77 [94]

Answer:

A ≈ 269.81 cm²

Step-by-step explanation:

This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.

A = $\frac{3\sqrt{3} }{2} s^{2}$

Where s is the length of the sides

Substitute:

A = $\frac{3\sqrt{3} }{2} s^{2}$

A = $\frac{3\sqrt{3} }{2} 10^{2}$

Solve:

A = $\frac{3\sqrt{3} }{2} 10^{2}$

A = $\frac{3\sqrt{3} }{2} 100$

Multiply the numerator:

A = $\frac{3\sqrt{3} }{2} 100$

A ≈ $\frac{5.12 }{2} 100$

(The numerator reflects a rounded number, but the actual calculations are exact)

Divide the fraction:

A ≈ $\frac{5.12 }{2} 100$

A ≈ 2.6(100)

Multiply:

A ≈ 2.6(100)

A ≈ 269.81 cm²

Therefore, the area is approximately 269.82 cubic centimeters.

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