Answer:
28 probably sorry if wrong
2 1/2 = (2*2+1)/2 = 5/2
5/2 : 1/4 = 5/2 * 4/1 = 20/2 = 10
To find the value of x, you want to use the vertical angles theorem.
The vertical angles theorem says that all vertical angles (which is what TRY and QRW are) are congruent to each other. Knowing this you can make an equation where the angles are equal to each other to find the value of x.
TRY = QRW, so:
(x+16) = (4x-5)
1. Add 5 to both sides.
(x+21) = (4x)
2. You can get rid of the parentheses.
x+21 = 4x
3. Subtract x from both sides.
21 = 3x
4. Divide both sides by 3, isolating x.
7 = x
5. Flip this equation around, so:
x = 7
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
To find the measure of TRY then plug x into the expression for TRY, which is (x+16).
TRY => ((7)+16) = 23
Since TRY is 23, the vertical angles theorem says that QRW is also 23. Add these measures up.
23+23 = 46
A line's measure is 180 degrees, so two lines would add up to 360 degrees. Subtract 46 from 360 to find the remaining degrees.
360-46 = 314
TRQ and YRW must be congruent to each other so that means you can divide 314 by 2.
314/2 = 157
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Answers are:
TRY = 23
TRQ = 157
Two hundred and 5, point zero nine or 0 9
Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10
Step-by-step explanation:
- Finding the area of the curve y = f(x) = x between x = 5 and x = 10
Using the Area formula
As the area of curve lies between x = 5 and x = 10
so
so the integral expression becomes
![A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cfrac%7Bx%5E%7B1%2B1%7D%7D%7B1%2B1%7D%5Cright%5D%5E%7B10%7D_5)
![=\left[\frac{x^2}{2}\right]^{10}_5](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cfrac%7Bx%5E2%7D%7B2%7D%5Cright%5D%5E%7B10%7D_5)
![=\frac{1}{2}\left[10^2-5^2\right]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B10%5E2-5%5E2%5Cright%5D)
Therefore, area of the curve y= f(x) = x between x = 5 and x = 10
