Answer:
The value of x is 90°
Step-by-step explanation:
Given as :
The Trigonometrical equation as :
sin² x - 2 sin x + 1 = 0
Now, Let Sin x= a
So, The equation can be written as :
a² - 2 a + 1 = 0
<u>applying mid-term break</u>
a² - a - a + 1 = 0
Or, a ( a - 1) - 1 (a - 1) = 0
Or, (a -1) (a-1) = 0
∴ a - 1 = 0
i.e a = 1
Now, put the value of a
∵ Sin x = a
So, Sin x = 1
∴ x = ![Sin^{-1}](https://tex.z-dn.net/?f=Sin%5E%7B-1%7D)
Or, x = 90°
So, The value of x = 90°
Hence, The value of x is 90° Answer
Answer:
r || s
Step-by-step explanation:
m∠4 = m∠5 Given.
These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated. If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.
Step-by-step explanation:
Part A: ΔGCB ~ ΔEPB
Part B: ∠GBC and ∠EBP are vertical angles, and therefore congruent.
∠GCB and ∠EPB are alternate interior angles, and therefore congruent.
So ΔGCB and ΔEPB are similar by AA similarity.
Part C:
BE / BP = BG / BC
BE / 225 = 425 / 325
BE ≈ 294
PE / BP = CG / BC
PE / 225 = 375 / 325
PE ≈ 260
Answer:
What's the rest of the question.
Step-by-step explanation: