Hep with this Math homework

Mathematics

1 answer:

I am Lyosha [343]3 years ago

8 0

Answer:

a) 16.7

b) 13.5

Step-by-step explanation:

AC and DE are parallel, so ∠CAB and ∠EDB are corresponding angles, and ∠ACB and ∠DEB are corresponding angles.

Therefore, ΔABC and ΔDBE are similar triangles. We can use this to write a proportion.

(25 + x) / (18 + 12) = x / 12

12 (25 + x) = x (18 + 12)

300 + 12x = 30x

300 = 18x

x = 16.7

x / (7 + 2) = 3 / 2

x = 13.5

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$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{20}) \\\\\\ y+7=-\cfrac{1}{2}x+10\implies y=-\cfrac{1}{2}x+3$