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Answer:

Step-by-step explanation:

Let's apply the formula (x+y)² = x² + 2xy + y²
Here, x = -a and y = b
So,
= (-a)² + 2(-a)(b) + (b)²
= a² - 2ab + b²
Hence, it has been proved that (-a + b)² = a² - 2ab + b².
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
The measure of m∠KNY is;
(D) 105°
Step-by-step explanation:
From the diagram, we have;
The given angle at the circumference = The The angle the arcs makes at the center of the circle
From circle, theorem, angle subtended at the center = Twice the angle subtended at the circumference
Therefore;
Angle ∠D and angle ∠Y = 90°/2 = 45°
Angle ∠O and angle ∠K = 60°/2 = 30°
From angle summation theorem, we have;
m∠KNY + ∠K + ∠Y = 180° (The sum of the interion angles in ΔYNK
∴ m∠KNY = 180° - (∠K + ∠Y)
Plugging in the known values of ∠K and ∠Y gives;
m∠KNY = 180° - (30° + 45°) = 105°
m∠KNY = 105°.
Answer: 27.5
Step-by-step explanation:
14.5 + 13 = 27.5