Triangle def contains right angle e. if angle d measures 55° and its opposite side measures 7.6 units, what is the measure of side df? round your answer to the nearest hundredth.

9.28 units.

Step-by-step explanation:

We have been given that triangle DEF contains right angle E. If angle D measures 55° and its opposite side measures 7.6 units. We are asked to find the measure of side DF.    

We can see from attachment that DF is hypotenuse of triangle DEF.

We know that sine relates opposite side of right triangle to its hypotenuse.

Therefore, the measure of side Df is 9.28 units to the nearest hundredth.

9.28 units

Step-by-step explanation:

Step 1: Write all the data

Angle E = 90°

Angle D = 55°

Opposite = 7.6 units

Adjacent = DE

Hypotenuse = DF

Step 2: Use Sin formula to find DF

Sin (angle) = opposite/hypotenuse

Sin (55) = 7.6/DF

DF = 9.277 ≅ 9.28

Therefore, the measure of side DF is 9.28 units

!!

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

$79500

step-by-step explanation: