(x + y)^2 = (x^2 - 2xy + y^2)
First distribute the ^2 on the left side of the equation to each term inside the parenthesis:
x^2+ 2xy + y^2
Now pick one of the variables to solve for and isolate it:
(solving for x)
x^2 + 2xy + y^2 = x^2 - 2xy + y^2
x^2+ 2xy = x^2 - 2xy
2xy = -2xy
-x = x
x = 0
When you solve for y in the equation it will turn out to be 0 as well
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2
If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12
Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).
I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
The change that Angie will receive from an $100 bill is $38.944.
<h3>How to calculate the value?</h3>
Angie went to the store and bought 3 pairs of tennis shoes that each cost $24. The total cost will be:
= 3 × $24 = $72
Sales tax was then calculated at 6%. This will be:
= 6% × $72
= $4.32
Total cost = Cost + Tax
= $72 + $4.32
= $76.32
Coupon off = 20% × $76.32 = $15.264
Total amount paid = Cost - Coupon
= $76.32 - $15.264
= $61.056
The change gotten will be:
= $100 - $61.056
= $38.944
Learn more about money on:
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Answer:
Top question: -7°
Bottom question : 18°
Step-by-step explanation:
Top question:
The base angles of am isosceles triangle are congruent:
x + 46 = 39 because the base angles of an isosceles triangle are congruent
x + 46° = 39°
x = -7°
Bottom question
The missing angle is 3x because the base angles are congruent
To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°
3x + 3x + 4x = 180°
10x = 180°
x = 18°
Sorry for the late post!
-Chetan K
Answer: b
Step-by-step explanation:
