Answer:
Option (E)
Step-by-step explanation:
LMNO is a rectangle.
MO = 54
By the property of a rectangle,
1). Diagonals are equal in length.
2). Diagonals equally bisect each other.
Since, MO = LN
Therefore, LN = 54
Since, NP = 
NP =
= 27
Option (E) will be the correct option.
Answer:



Step-by-step explanation:
Please find the attachment.
We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.
We will use sine to solve for angle D as:





Therefore, measure of angle D is 37.7 degrees.
Now, we will find measure of angle E using angle sum property.





Therefore, measure of angle E is 52.3 degrees.
We will use Pythagoras theorem to solve for side FD as:







Therefore, length of side FD is approximately 28.5 units.
Answer:
x = 13 and y = 13√3
Step-by-step explanation:
Recall that sin Ф = opposite side / hypotenuse, and that
cos Ф = adjacent sice / hypotenuse.
if we recognize that the angle Ф is 30° here, then we know that:
x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.
and....
y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3
In summary, x = 13 and y = 13√3
Answer:
7 is the answer..........
Answer:
x = -2
Step-by-step explanation:
Step 1: Add 10 to both sides.
Step 2: Check if solution is correct.
Therefore, x = -2.