Answer:
1. Option B.
2. Option D.
Step-by-step explanation:
1.
In the provided image, the straight line drawn in the triangle, divide the whole triangle into two triangles having a same angle with the corresponding sides proportional to each other. The area of these triangles is proportional to each other.
With the corresponding proportional sides, [tex]\frac{x}{6} = \frac{5}{8}[/tex]. x = [tex]\frac{15}{4}[/tex].
2.
In the given image, ΔDEG ≅ ΔGEF.
Hence, [tex]\frac{DE}{DG} = \frac{EF}{FG} \\\frac{8}{X} = \frac{12}{14 - X} \\\frac{2}{X} = \frac{3}{14 - X} \\28 - 2X = 3X\\5X = 28\\X = 5.6[/tex].
