What is the answer to this question?

6.4

Step-by-step explanation:

The given triangle is a Right Angled Triangle with right angle at E.

So, measure of angle E = 90 degrees

measure of angle D = 62 degrees

measure of side FE = 12

We have to find the measure of side DE. Note that side DE is adjacent to Angle D and side FE is opposite to angle D. So we can use tangent ratio to find the measure of DE.

Therefore, the value of DE, rounded to nearest tenth is 6.4

The length of DE = 6.4

Step-by-step explanation:

From the figure we can see a right angled triangle FED.

Right angled at E

To find the DE

Here,

FE = 12  and <D = 62

Tan D = Opposite side/Adjacent side

Tan 62 = FE/DE

DE = FE/Tan(62) = 12/(Tan(62) =12/1.88 = 6.38 ≈ 6.4

Therefore the length of DE = 6.4

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.