A rectangle has an area of 21x + 81 square units. If the width is 3 units, what is the length of the rectangle
1 answer:
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Answer:
m<A = 30degrees
m<B = 70degrees
Step-by-step explanation:
Find the diagram attached
From the diagram;
m<A + 150 = 180
m<A = 180 - 150
m<A = 30degrees
Also since the sum of angles in a triangle is 180degrees, hence;
m<B+m<A + 80 = 180
m<B+30+80 = 180
m<B+110 = 180
m<B = 180 - 110
m<B = 70degrees
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
<h3>How to find Scale Factor?</h3>Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
Learn more about scale factor on:
