Answer:
∠ RQU = 25°
Step-by-step explanation:
The opposite angles of an inscribed circle are supplementary, thus
∠ URS + ∠ UTS = 180°, that is
∠ URS + 124° = 180° ( subtract 124° from both sides )
∠ URS = 56°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ URS is an external angle to Δ QUR, that is
∠ RQU + 31° = 56° ( subtract 31° from both sides )
∠ RQU = 25°

We have 2 denominators that we need to get rid of. Whenever there are the denominators, all we have to do is multiply all whole equation with the denominators.
Our denominators are both 2 and x+1. Therefore, we multiply the whole equation by 2(x+1)
![\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%5B2%28x%2B1%29%5D-%5Cfrac%7B2%7D%7Bx%2B1%7D%5B2%28x%2B1%29%5D%20%3D%201%5B2%28x%2B1%29%5D)
Then shorten the fractions.
![\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]\\x(x+1)-2(2)=1(2x+2)](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%5B2%28x%2B1%29%5D-%5Cfrac%7B2%7D%7Bx%2B1%7D%5B2%28x%2B1%29%5D%20%3D%201%5B2%28x%2B1%29%5D%5C%5Cx%28x%2B1%29-2%282%29%3D1%282x%2B2%29)
Distribute in all.

We should get like this. Because the polynomial is 2-degree, I'd suggest you to move all terms to one place. Therefore, moving 2x+2 to another side and subtract.

We are almost there. All we have to do is, solving for x by factoring. (Although there are more than just factoring but factoring this polynomial is faster.)

Thus, the answer is x = 3, -2
Answer:
$599
Step-by-step explanation:
Given: Discount- 40% off on original price.
Gift card= $25
Total cost before taxes is $334.40
Lets assume the original price be "x".
We know there is 40% on original price and Perry uses $25 gift card.
Remember; Total cost= 
Now, finding the original price of Iphone.
⇒ 
⇒ 
Adding both side by 25
⇒
⇒
Dividing both side by 0.60
⇒ 
∴ 
Hence, the original price of iphone is $599
False Happy Thanksgiving :)