The value of x in the triangle is (d) 7
<h3>How to solve for x?</h3>
The complete question is in the attached image.
From the attached image of the triangle, we can see that the triangle is a right triangle, and x can be solved using the following sine function

Evaluate sin(45)

Solve for x

Divide
x = 7
Hence, the value of x in the triangle is (d) 7
Read more about special triangles at:
brainly.com/question/654982
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Step 1
<u>Find the total area</u>
Total area=(1,150,000/18,075)=63.62 square kilometer
The area of a circle is equal to

therefore
the answer is

The perimeter is the total of adding all of the side lengths together.
A square has 4 equal side lengths.
So the perimeter of a square is:
P = s + s + s + s or P = 4s
[P = perimeter s = side lengths of the square]
Since you know the side length of the square is (x + 2 1/4), you can replace s with (x + 2 1/4)
P = 4s
P = 4(x + 2 1/4) Multiply 4 into (x + 2 1/4)
P = 4x + 8 4/4
P = 4x + 9
Since you know the perimeter, you can plug it in.(you could have also plugged it in in the beginning)
P = 4x + 9
14 = 4x + 9 Subtract 9 on both sides
5 = 4x Divide 4 on both sides
5/4 = x
Now that you know x, find the side length of the square.
(x + 2 1/4)
(5/4 + 2 1/4)
2 6/4 = 3 2/4 = 3 1/2 units or 3.5 units
To find the area of a square, you multiply 2 of the sides together:
A = s · s
A = 3.5 · 3.5
A = 12.25 units²
Answer:
The correct option is B.
Step-by-step explanation:
Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.
It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.



Angle P can be defined as


Therefore option B is correct.



Therefore option A, C and D are incorrect.
See attached image for work.