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B = 10.5

Step-by-step explanation:

From the figures, it looks like triangle HER is similar to triangle KPS.

From that we get

Multiply both sides by 7.

B = 10.5

B = 10.5

C = 10

Step-by-step explanation:

When one divides the corresponding sides of similar triangles, one will attain the ratio of similitude. If one multiplies one of the similar triangle's sides by the ratio of similitude, then one will attain the corresponding side of the similar triangle. In simple terms, the ratio of similitude is the scaling factor between two similar polygons.

As per the given information, the two triangles are similar, therefore one can set up a proportion with their corresponding sides;

Substitute;

Solve for B with cross products;

Solve with cross products for C;

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step-by-step explanation:

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