A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF? triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

24 units

Explanation:

From the description, you know:

1. Angle D.

The measure of the angle D = the measure of the angle A

∴ sin (D) = sin (A) = 4/5

2. Hypotenuse (side DE)

Since F is the right angle of the triangle, the side DE is the hypotenuse.

hypotenuse = DE = 30 units

3. Segment EF

Angle E is opposite to angle D, hence segment EF is opposite to angle D.

sin(D) = EF/hypotenuse4/5 = EF/30EF = 30 × 4/5 = 24 units ← answer

D

Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.