Answer:
m∠E = 60°
Step-by-step explanation:
The given information in the diagram are;
The shape of the drawing, ΔEDF = A right triangle
The length of the hypotenuse side opposite the right angle = 16·√46
The length of the leg adjacent to the reference angle ∠E = 8·√46
By trigonometric ratio, we have;
Plugging in the values gives;
∴ m∠E = arccos(1/2)
Using a calculator or from tables or an online trigonometric ratio tool, we have
arccos(1/2) = 60°
∴ m∠E = arccos(1/2) = 60°.
Solve the porportions. First, cross multiply
7/(x - 4) = 42/12
(7/(x-4))(x-4)(12) = (42/12)(12)(x-4)
7(12) = 42(x-4)
Simplify. (remember to distribute the 42 to both x and -4
84 = 42x - 168
Isolate the x. First add 168 to both sides
84 (+168) = 42x - 168 (+168)
42x = 84 + 168
42x = 252
Finally, isolate the x by dividing 42 from both sides
42x/42 = 252/42
x = 252/42
x = 6
6 is your answer
hope this helps
Answer:
About $20.30
Step-by-step explanation:
$466.90 divided by 23.
It’s 7.406 , that’s the correct answer