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2 years ago

Need help from a math wiz

Mathematics

2 answers:

ruslelena [56]2 years ago

4 0

1) A vertex is a point. A point cannot be bisected. The problem is poorly worded.
If it means that each diagonal bisects two opposite angles, then the quadrilateral must be a rhombus.

2) In a trapezoid, one pair of opposite sides must be parallel.

3) A rhombus is a parallelogram with 4 congruent sides.

leva [86]2 years ago

3 0

I know the 3rd question the answer is rectangle

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3 years ago

The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3

kap26 [50]

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

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2 years ago

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PYTHAGORAS THEROM AND TRIGONOMETRY RATIO

marysya [2.9K]

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3) ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

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