What is there to zoom inn?
<h2>
Dilations and Scale Factors</h2>
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
<h2>Solving the Question</h2>
We're given:
- Original side length is 2.5 units
- Scale factor = 6
Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
<h2>Answer</h2>
15 units
Let AB extended intersect DC extended at point E
<span>We now have right triangle BEC with E = 90 degrees </span>
<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>
<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
