A deck consists of cards with 7 suits labelled A to G and num- bered ranks from 1 to 8. Each card is equally likely to be drawn.
1 answer:
You might be interested in
Purple color figure is similar to the original figure.
<u>Solution:</u>
Property of similar polygon:
<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>
(1) <u>Compare original figure with green color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the green color figure:
67°, 23° and 90°
These two angles of the triangles not congruent angles.
Hence these shapes are not similar.
(2) <u>Compare original figure with yellow color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the yellow color figure:
67°, 23° and 90°
These two angles of the triangles are not congruent angles.
Hence these shapes are not similar.
(3) <u>Compare original figure with purple color figure:</u>
Angles of the original figure:
37°, 53° and 90°
Angles of the purple color figure:
37°, 53° and 90°
These two triangles have same shape and congruent angles.
Ratio of the sides:
These two triangles have same ratio.
Hence these shapes are similar.
Hence purple color figure is similar to the original figure.
Option A:
m∠B = 42.1°
Solution:
Given data:
b = 18, c = 15 and m∠C = 34°
Using sine formula:
Substitute the given values.
Do cross multiplication.
Divide by 15 on both sides.
Switch the sides.
m∠B = 42.1°
Option A is the correct answer.