In ΔEFG, the measure of ∠G=90°, the measure of ∠E=19°, and FG = 62 feet. Find the length of GE to the nearest tenth of a foot.

180.1 feet

Step-by-step explanation:

Using tan to find the answer; Opposite/Adjacent = 62/x

tan19=62/x

xtan19=62 (cross multiply)

xtan19/tan19=62/tan19 (Divide each side by tan19)

x=62/tan19=180.0611=180.1 feet

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45