Find the length of segment AC. Use the length of segment CD.

CD ≈ 10.7 cm

Step-by-step explanation:

Using the sine ratio in right triangle ABC to find AC

sin30° = = = ( multiply both sides by 10 )

10 × sin30° = AC , thus

AC = 5 cm

-----------------------------------------------------------

Using the tangent ratio in right triangle ACD to find CD

tan25° = = = ( multiply both sides by CD )

CD × tan25° = 5 ( divide both sides by tan25° )

CD = ≈ 10.7 cm ( to 1 dec. place )

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9