Answer:
Opposite sides of the parallelogram are equal. Here, 60°+60°+ Angle ZWX + Angle ZYX = 360°
or,2* Angle ZYX = 240° [ Angle ZWX = Angle ZYX]
So, Angle ZYX = 120°
Then, In ∆ENY;
102° + (120-84)° + Angle ENY = 180° [Sum of all angles of a triangle.]
or, 36° + Angle ENY = 78°
So, Angle ENY = 42°
Comparing map distance to real distance we get 2cm/4km. That means 1cm = 2km.
So the map distance is half the real distance (well, technically not as one is in cm and the other in km but it’s enough to think this way) and a real distance of 10km must mean a map distance of half that (again ignoring the units) so we get 5cm.
Step-by-step explanation:
y=x(x+3)-1(x+3)
y= x^2+3x-x-3
y=x^2+2x-3
that is the answer
27y^3 -343 starts out with 27y^3, and 343 is the cube of 7. Thus, we know immediately that 27y3 -343 is the diffeence of two squares.
The appropriate rule is a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here, we have 27y3 -343 = (3y - 7)(9y^2 + 12y + 49)
Given:
Consider the given expression is
To find:
The simplified form of the given expression.
Solution:
We have,
Using properties of exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
Therefore, the simplified form of given expression is 25.
