<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.
X= 40 is the answer to this equation
<span>75°
Since â–łABC is similar to â–łXYZ, that means that angle A equals angle X, angle B equals angle Y, and angle C equals angle Z. So let's look at the data we have.
Angle A measures 45° and angle C measures 60°. That means that angle B measures 180° - 45° - 60° = 75° since all triangles have 180° and we've been told the measurement of two of the angles. And since angle Y is equal to angle B (which we just calculated), that means that angle Y is also equal to 75°</span>
Answer:
This is because exponents increase a number, for example 
<em>squaring a number is basically multiplying it by itself.</em> So 
. Now obiviously 4 is greater than 2. But lets make the numbers like this:
And again, 
Now, which is bigger 
A quarter is smaller than a half right?
So in this case we can see that fractions raised to an exponent get smaller while numbers raised to an exponent get bigger.
