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gladu [14]
3 years ago
9

What is the length of PR? A: 13.5 inches B: 7.5 inches C: 10.5 inches D: 9.5 inches

Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

The correct option is;

C: 10.5 inches

Step-by-step explanation:

In triangle ΔPQR the given parameters are;

The length of \overline {QP} = 19.5 in.

The length of \overline {QR} = 7.5 in.

In triangle ΔVWX, the given parameters are;

The length of \overline {WV} = 13 in.

The length of \overline {WX} = 5 in.

The length of \overline {VX} = 7 in.

Given that we have;

\dfrac{\overline {QP}}{\overline {WV}} = \dfrac{19.5}{13}  = 1.5 , \ \dfrac{\overline {QR}}{\overline {WX}} = \dfrac{7.5}{5} = 1.5

The ratio of the corresponding sides of triangle ΔPQR and triangle ΔVWX are equal, therefore ΔPQR is similar to ΔVWX, from which we have for the corresponding sides, \overline {PR} and \overline {VX};

\dfrac{\overline {PR}}{\overline {WV}} =  \dfrac{\overline {PR}}{\overline {7}} = 1.5

∴ \overline {PR} = 7 × 1.5 = 10.5

The length of \overline {PR} = 10.5 inches

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Seriously omg don’t type answers and then stop! Just put your explanation even if you think I might not understand it idc! Just
Shkiper50 [21]

Hello from MrBillDoesMath!

Answer:  6 * p^(3/2) * q^4


Discussion:

We are evaluating

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where "sqrt" indicates the square root and the ^ (as in q^8) means "raised to the power of:

The square root of the product is the product of the square roots. (Say that 5 time out loud quickly!). So the above equation becomes

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The square root of 36 is 6 as 6* 6 = 36 so the equation equals

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But 8/2 = 4 so the equation simplifies to

6 * p^(3/2) * q^4



Thank you,

MrB

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