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ycow [4]
3 years ago
12

Please help. Thank you

Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Given:

PQRS\sim TUVW

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

PQRS\sim TUVW

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

k=\dfrac{VW}{RS}

k=\dfrac{25}{35}

k=\dfrac{5}{7}

Therefore, the scale factor from PQRS to TUVW is k=\dfrac{5}{7}.

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3 years ago
What theorem shows that TPN ≅ TQM?
melisa1 [442]

Note: Consider the side of first triangle is TQ instead of TA.

Given:

Triangles TQM and TPN which share vertex T.

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TQ\cong TP        [Given]

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TM\cong TN        [Given]

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\Delta TPN\cong TQM              [SAS]

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the diameter of the sphere is 7 inches. What is the circumference of a cross section through the center of the model?
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