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3 years ago

Helppppppppppppppppppppppppppp

Mathematics

1 answer:

gayaneshka [121]3 years ago

3 0

Answer:

20 inches

$c = \sqrt{12 ^{2} + 16 ^{2} } \\ c = \sqrt{400} \\ c = 20$

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(4)x5 is the same as (4)5 or 4 x 5

it equals 20

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Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =

galina1969 [7]

Answer:

The correct option is B.

Step-by-step explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

$\angle R=\angle S$

$\angle Q=\angle T$

$\angle P=\angle P$

Angle P can be defined as

$\angle QPR=\angle TPS$

$\angle RPQ=\angle TPS$

Therefore option B is correct.

$\angle PST\neq\angle QPR$

$\angle SPT\neq\angle PTS$

$\angle PRQ\neq\angle PTS$

Therefore option A, C and D are incorrect.

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Alina [70]

Correct option D) 1,185.6 inches cubed .

<u>Step-by-step explanation:</u>

Here we have , A triangular prism. The triangular base has a base of 12 inches and height of 10.4 inches. The height of the prism is 19 inches. We need to find the volume of the triangular prism .Let's find out:

We have following parameters :

$b=12 inches\\h=10.4inches\\l=19inhes$

We know that , Volume of triangular prism is :

⇒ $Volume = \frac{1}{2}b(h)(l)$

⇒ $Volume = \frac{1}{2}12(10.4)(19)$

⇒ $Volume = 6(10.4)(19)$

⇒ $Volume = 1,185.6in^3$

Therefore , Correct option D) 1,185.6 inches cubed .

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